Calls to the Help Desk: The phone call to a computer software helpdesk occure at the rate of 2.1 per minute between 3.00p.m. and 4:00p.m. Compute the probability that the number of calls to the help desk between 3:10 p.m. and 3:15 p.m. (a) exactly eight. Interpret the result. (6) fewer than eight. Interpret the result. ( at least eight. Interpret the result. You Explain It! Height of 10-Year-Old Males The heights of 10-year-old males are normally distributed with mean = 55.9 inches and o = 5.7 inches. (a) Draw a normal curve with the parameters labeled. (6) Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall. (C) Suppose that the area under the normal curve to the left of x = 46.5 is 0.0496. Provide two interpretations of this result

Answers

Answer 1

The probabilities for exact 8 and less than 8 calls can be obtained as  0.1009 and 0.1785 respectively.

What is Poisson distribution?

Poisson distribution is applied for the case where the events occur in a specific period of time with constant rate.

The given case belongs to Poisson distribution,

It can be solved as follows,

(a) The probability of exactly 8 calls can be obtained as,

P(Exact 8 calls) =  [tex]e^{-\lambda} \lambda^{x}/x![/tex]

Where x = 8 and λ = 2.1 × 5 = 10.5.

Then, the probability is  obtained as,

⇒ e⁻⁸ × 10.5⁸/8!

⇒ 0.1009

It implies that if 100 calls are selected randomly for the interval of 5 minute, 10 calls can be expected.

(b)  The probability of less than 8 calls can be obtained as

P(Less than 8) = [tex]\sum_{x =1}^{7}e^{-\lambda}\lambda^{x}/ x![/tex]

⇒ P(Less than 8) = 0.1785

It implies that out of 100 randomly selected 5 minute calls, around 18 have less than 8 calls.

Hence, the required probabilities for the given case are 0.1009 and 0.1785 respectively.

To know more about Poisson distribution click on,

https://brainly.com/question/17280826

#SPJ4


Related Questions

Please help me on the questions attached

Answers

Answer:

There are no questions attached.

Step-by-step explanation:

A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base

Answers

Answer:

26 inches

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}[/tex](a + b) x h

a and b = 2 parallel sides

h = height

120 = 0.5(14 + b) x 6

120 = 3 x (14 +b)

Divide both sides of the equation by 3

120/3 = 14 + b

40 = 14 + b

Collect like terms

b = 40 - 14 = 26inches

Solve the triangle round al answers to 1 decimal
b = 6, A = 20°; - I just need Help finding a and c

Answers

Step-by-step explanation:

tan 20 = a/6

a = 6 tan 20 = 2.18 = 2.2

c = √(36+4.84)

c = √ 40.84

c = 6.38 = 6.4

find the x-intercepts, use the zero product property, r(r+7)=0

Answers

9514 1404 393

Answer:

  r = 0

  r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

__

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

  r = 0

The factor (r+7) is zero when ...

  r +7 = 0   ⇒   r = -7

The "x-intercepts" are r=0 and r=-7.

Can someone please explain how to solve this? Thanks!

Answers

you would use the cos equation to answer this so it would be cos45= x/26 so when u type that into a graphing calculator the final answer would be x= 13 sqrt 2

Please someone help me... I have my state test tomorrow and I don't know how to do this.

Answers

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

If correct I’ll give brainlist

Answers

Answer:

4/-2 = -2/1 = -2

y = -2x - 16

Find the 8th term of the geometric sequence 3, 9, 27, ...

Answers

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

Common ratio r = 3First term a = 3n = 8

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561


The original price of a packet of potato chips was $2.50. Now, 5 packets of potato
chips are sold at $10. What is the percentage discount of buying 5 packets of potato
chlps?​

Answers

Answer:

it would be 20% off

Step-by-step explanation:

Graph a line with a slope of 5 that contains the point (-2,4).

Khan Academy

Answers

Answer:

Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)

Step-by-step explanation:

y - y1 = m(x - x1)

y - 4 = 2/5(x + 2)

y - 4 = 2/5x + 4/5

y = 2/5x + 24/5

Find a30 of the arithmetic sequence:

−17,−7,3,13,...

Answers

Answer:

a₃₀ = 273

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 17 and d = a₂ - a₁ = - 7 - (- 17) = - 7 + 17 = 10 , then

a₃₀ = - 17 + (29 × 10) = - 17 + 290 = 273

HELP DUE IN 15 MINS!
Solve for x in the parallelogram below:

X=??

Answers

Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

Answer:

x = 4

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary

14x + 6 + 118 = 18014x + 124 = 18014x = 180 - 12414x = 56x = 56/4x = 4

la suma de los cuadrados de dos numeros​

Answers

what? i’m confusedd?

28% of the fish in a pond are sunfish. If there are 150 fish in the pond, how many are sunfish

Answers

Answer:

The answer would be 42 .

Step-by-step explanation:

Good luck ^.^

If you know the whole sheet that would be best!!!!!

Answers

Answer:

Step-by-step explanation:

Mskwosjdbeiecdbf

I’m not sure if this is right but I believe the first one is 307.72

Writing the Standard Form of a Line
Try it
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point
slope form is y + 1 = 2/3 (x – 8).
____x + ____y = ____

Answers

Answer:

[tex]2x-3y = 19[/tex]

Step-by-step explanation:

In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:

[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]

HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

How many times bigger is 3,136 than 972 in percentage form

Answers

Answer:

30.99

Step-by-step explanation:

What is the sum of the interior angles of the polygon pictured below?

Answers

Answer:

37

Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY  I TIRED

Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?

A) $8,398.46

C) $7,753.92

B) $8,610.85

D) $7,910.43

Answers

Answer:

C) $7,753.92

Step-by-step explanation:

Given data

Principal= $5,632

Rate=2%

n= 12

Time = 16 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 5632(1+0.02/12)^12*16

A=5632(1+0.02/12)^12*16

A= 5632(1+0.00166)^12*16

A= 5632(1.00166)^12*16

A= 5632(1.00166)^192

A=5632*1.375

A=$7744

Hence the approximate amount is C) $7,753.92

Help me I’ll mark brainliest!!!!!!!

Answers

Answer:

1 first you would find the volume of the pryimid which is-

27in²

2 then you'd find the volume of the rectangular prism which is-

108in²

3 then you add the two together-

27in² + 108in² = 135in²

brainliest ;)

Find the output, kkk, when the input, xxx, is -5−5minus, 5.
k = 6x + 100k=6x+100k, equals, 6, x, plus, 100
k=

Answers

Answer:

70

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

x=-5

k=6x+100

6X-5=-30

k=-30+100

100-30=100+-30=70

k=70

Also I did it on Khan :)

find the value of y.

Answers

76! its because its a vertical to the other 76

8. Coffee Country City Council has decided to build a new road to connect Main Street
and Lincoln Lane (see the drawing). If construction costs $25,000 per mile, how much
will it cost?
Main Stream
3 mil
Lincoln Ln
1.5 miles-
NEW ROAD

Answers

Answer:

easy just pull put calculator and add 25,000 with  3 mil

Step-by-step explanation:

Answer:

Cost 64951.91

Step-by-step explanation:

We are to assume that the new road and Lincoln Lane meat at right angles. If that is true we can use the Pythagorean Theorem.

Givens

a = 1.5 miles

b = ?

c = 3 miles

Cost per mile = 25000

Solution

a^2 + b^2 = c^2

1.5^2 + b^2 = 3^2

2.25 + b^2 = 9

b^2 = 9 - 2.25

b^2 = 6.75

sqrt(b^2) = sqrt(6.75)

b = 2.5981

Cost

1 mile costs 25000

2.5981 costs x

1/2.5981 = 25000 / x                 Cross Multiply

x = 2.5981 * 25000

x = 64951.91

The base of a right rectangular pyramid has length 14 ​cm, width 12 ​cm, and height 13 cm. Describe a cross section that could be formed by a horizontal plane that intersects the faces of the pyramid above the base.

Answers

It would be a RECTANGLE proportional to the base of the pyramid.

What is the length of the unknown leg in the right triangle?

Answers

Answer:

15m

Step-by-step explanation:

a^2 + b^2 = c^2

a=?

b = 20m

c = 25m

a^2 + (20m)^2 = (25m)^2

a^2 + 400m^2 = 625m^2

a^2 = 625m^2 - 400m^2 = 225m^2

a = 15m

Answer:

The answer is 15

Step-by-step explanation:

There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3

Answers

3 different sizes.

3 different colors.

Total outcomes: number of sizes x number of colors.

3 x 3 = 9

There are 9 total outcomes.

Answer:

9

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).

Solve for x
please help me an explanation is not needed if you don’t want to add it !

Answers

Answer:

70˚

Step-by-step explanation:

Please help!! Explanation and answer please (:

Answers

Answer:

You can draw a model for your teacher if your teacher approves

Step-by-step explanation:

Try drawing a model

HEY BESTIES WHATS POPPIN IM BACK AND READY FOR ACTION PLZ HELP

Answers

Answer:

A.

Step-by-step explanation:

The slope increases from left to right.

Answer: Positive Slope

Step-by-step explanation:

If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative

Other Questions
plzzzzz help me!!!!! define the term change and state one negative change you may encounter as a student or as an employee in the future what is the equation of the volume of a sphere I need help answer with right answer GIVING BRAINIEST ANSWER QUICK PLEASE!!!!!Evaluate the following and determine which number set(s) it belongs to. What is a claim?1. A clever and logical response to an opposing idea2. An idea that presents a contrasting perspective3. A personal and emotional stance on a topic4. A statement that takes a clear stand on an issue Find the value of x. Round to the nearest tenth. KHAN ACADEMY-A 1-unit by 3-unit is shown below.What is the area of the shaded rectangle?PLEASE HELP! My missing work for math is due today and I'd REALLY appreciate help.Thanks so much if you choose to help! What is the correct mRNA transcription of the following DNA sequence? ATGGCACCTTAC Create a list of 30 words, phrases and company names commonly found in phishing messages. Assign a point value to each based on your estimate of its likeliness to be in a phishing message (e.g., one point if its somewhat likely, two points if moderately likely, or three points if highly likely). Write a program that scans a file of text for these terms and phrases. For each occurrence of a keyword or phrase within the text file, add the assigned point value to the total points for that word or phrase. For each keyword or phrase found, output one line with the word or phrase, the number of occurrences and the point total. Then show the point total for the entire message. Does your program assign a high point total to some actual phishing e-mails youve received? Does it assign a high point total to some legitimate e-mails youve received? Find the area of the trapezoid below. A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.Write a system of inequalities that represents the situation.Group of answer choices3v + 2b 303v + 2b 123v + 2b 30v + b 122v + 3b 30v + b 123v + 2b 30v + b 12 Fiona is a manager who believes in Theory Y of leadership. What does she assume about her employees according to this theory? A. Employees have to be reprimanded for bad ideas. B. Employees are self-motivated in their work. C. Employees need constant supervision. D. Employees are always ready to leave the company. How many Joules are required to heat 40g of water from 13C to 40C?J Find the mean of these numbers: 8, 14, 32, 6, 15the other answer choice is 75 Woodrow Wilson remarks that The Declaration of Independence did notmention the questions of our day. Is his assertion correct? Which of the following is the correct classification for Dionaea muscipula? Find the midpoint of the segment with the following endpoints.(-3,5) and (0, -1) Find the surface area of the rectangular prism.8 ft4 ft8 ft I need a workout for a P.E