A farm categorizes its chickens into 3 classes according to the weight: small, medium, andbig. For any chicken in this farm, the distribution of the weight (denoted byW) follows a GaussianPDF with mean 3.8 lb and standard deviation 0.6 lb. The categories follow the following rule
small: W <= 3.5lb
medium: 3.5 <= 4.9lb
Large: W > 4.9lb
Required:
a. What are the probabilities that a chicken is in the classes of small, medium, and large, respectively?
b. Find c such that PW < c = 0.6.
c. Suppose that 5 chickens are selected at random. What is the probability that 3 out of the 5 will be small?
Answers
Answer:
A) P ( chicken is small ) = 0.3085, P ( chicken is medium ) = 0.6621
P (chicken is large ) = 0.0294
B) C = 3.9233
C) 0.1404
Step-by-step explanation:
A) Probabilities
i) P ( chicken is small )
P( w ≤ 3.5 ) = Fw ( 3 .5 )
= F ( 3.5 - 3.8 / 0.6 )
= F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]
= 1 - 0.6915 ( from Table )
= 0.3085
ii) P ( chicken is medium )
P ( 3.5 < w < 4.9 )
P ( w < 4.9 ) - P ( w < 3.5 )
= Fw ( 4.9 ) - Fw ( 3.5 )
= F ( 4.9 - 3.8 / 0.6 ) - 0.3085
= 0.9706 - 0.3085 = 0.6621
iii) P (chicken is large )
= P ( w > 4.9 )
= 1 - P ( w < 4.9 )
= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294
B) Find c
Given: P( w < c ) = 0.6
Fw ( c ) = 0.6
F ( c - 3.8 / 0.6 ) = 0.6
c - 3.8 / 0.6 = 0.2055 ( from table )
∴C = 3.9233
C) P ( 3 out of 5 = small )
P ( 3 of 5 = small ) = 0.1404
attached below is a detailed solution
Related Questions
1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal
Answers
9514 1404 393
Answer:
$27,026.90
Step-by-step explanation:
The future value formula can be solved to find the present value required.
FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years
$100,000 = P(1 +0.08)^17
P = $100,000/3.70002 . . . . divide by the coefficient of P
P = $27,026.90
You would need to deposit #27,026.90 now to reach this goal.
What is the slope between the two points (2,8) ;(3,12)
Answers
Answer:
4
Step-by-step explanation:
If we have two points we can find the slope
m = ( y2-y1)/(x2-x1)
= (12-8)/(3-2)
= 4/1
= 4
what is the answer to this question
Answers
Answer: Your Answer to this question is C. Can you mark me as Brainliest and a thanks plss!!
The table below shows Michaels' income and expenditure for the month of
April 2021. Study the table and answer the questions that follow.
Income
Amount
Andont
R15 435.20
Funeral Plan
Salary
Expenses (Variable)
R 200
R2050
Rent
Petrol
Air Time
Food (Groceries)
Clothing
R 500
R 350
R 400
R 700
School Fees
Car Repayment
Car Insurance
Total Expenditures
R600
R4 500
R 317
A
Entertainment
R 900
R 300
Toiletries
B
Money Left Over
1.1.1 Determine the values of A and B.
Use the value of B to decide whether the family is using the money wisely (2)
Answers
{2x + y = -1}
{3x- 5y + -21}
Answers
Answer:
(-2, 3).
Step-by-step explanation:
2x + y = -1
3x- 5y = -21
Multiply the first equation by 5:
10x + 5y = -5 Adding this to the second equation:
13x = -26
x = -2.
Substituting this into equation 1:
2(-2) + y = -1
y = -1 + 4 = 3.
Checking this result in the second equation:
3(-2) - 5(3)
= -5 - 15 = -21
- Checks OK.
Due today.. I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.
Answers
Answer:
Y = -0.3587+0.09118X
92 %
Step-by-step explanation:
Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :
Ŷ = -0.3587+0.09118X
Where, x = test score ; y = hours of sleep
To obtain the test score of a student who sleep foe 8 hours using the model :
Y = 8
Ŷ = -0.3587+0.09118X
8 = -0.3587+0.09118X
8 + 0.3587 =0.09118X
8.3587 = 0.09118X
X = 8.3587 / 0.09118
X = 91.672515
X = 92 ( approximately)
Suppose 56% of recent college graduates plan on pursuing a graduate degree. Twelve recent college graduates are randomly selected.
a. What is the probability that no more than three of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
b. What is the probability that exactly eight of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
c. What is the probability that at least six but no more than ten of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.)
Answers
Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than the other. If they meet in 2 hours, what is the rate of each bus?
Answers
Answer:
122 km/h
138 km/h
Step-by-step explanation:
distance = speed * time
One bus travels 16 km/h slower than the other
(s * 2) + (s - 16)2 = 520
2s + 2s - 32 = 520
4s = 552
s = 552/4
s = 138 km/h
s - 16 = 122 km/h
Identify factors that influence the significance level and power of a hypothesis test. Which of the following statements is FALSE?
a. Alpha (a) is equal to the probability of making a Type I error.
b. A smaller sample size would increase the effectiveness of a hypothesis test.
c. The probability of rejecting the null hypothesis when the null hypothesis is true is called a Type 1 Error.
d. The power of a hypothesis test is the probability of not making a Type Il error.
Answers
Answer:
b. A smaller sample size would increase the effectiveness of a hypothesis test.
Step-by-step explanation:
A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.
Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.
The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.
Thus the correct option is (b).
Answer:
A smaller sample size would increase the effectiveness of a hypothesis test
Step-by-step explanation:
4. It was 68.7°F at midday, then it rose 9°F in the afternoon and dropped another 12.3°F by 7:00 p.m. What was the temperature at 7:00p.m.?
Answers
The temperature rose so you add the amount it rose to the starting temperature
68.7 + 9 = 77.7 degrees
It then dropped so mow you subtract t the amount it dropped:
77.7 - 12.3 = 65.4 degrees
The answer is 65.4 degrees
HELPPPPPPPPPPPPPPPP!!!!!!
Answers
Answer:
70.2 degrees
Step-by-step explanation:
[tex]\arccos \left(\frac{19}{56}\right)=1.22463\ = \quad \begin{pmatrix}\mathrm{Degrees:}&70.17^{\circ \:}\end{pmatrix}[/tex]
Click on the measure of the gangle.
Answers
Answer:
34
Step-by-step explanation:
The bottom line is at 180
The top line is at 146
180-146 =34
How do you do an explicit formula for a geometric problem
Answers
Answer:
State the initial term.
Find the common ratio by dividing any term by the preceding term.
Substitute the common ratio into the recursive formula for a geometric sequence.
Express the percent as a decimal.
41%
Answers
Answer:
0.41
Step-by-step explanation:
41/100
0.41
hope it helps
Answer:
0.41
Step-by-step explanation:
Percentages, fractions, and decimals are tightly connected.
When breaking the meaning of "percent" down, you get "per" (for each) and "cent" ("hundred" in French), so a percent is always a number over 100.A fraction is one number divided by another, a part of a whole.A decimal is a number expressed with the base-ten system of counting.This being said, if you get 41%, remember that you can write it as a fraction of the number over 100, which would be [tex]\frac{41}{100}[/tex]. You can then turn it into a decimal*, which would be 0.41.
*when you have a two-digit whole number as the numerator of a fraction with denominator 100, the decimal form would just be 0. the numerator and the percent would be the numerator %. If the numerator is a whole one-digit number and the denominator is 100, the decimal form would be 0.0 the numerator, and the percent would still be just the numerator %.
e.g. for a fraction of [tex]\frac{17}{100}[/tex], the decimal is 0.17 and the percent is 17%.e.g. for a fraction of [tex]\frac{3}{100}[/tex], the decimal is 0.03 and the percent is 3%.If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation,and a box and whisker plot is created for this distribution,which of the following is true?
A) The box will be quite wide but the whisker will be very short.
B) The left and right-hand edges of the box will be approximately equal distance from the median.
C) The whiskers should be about half as long as the box is wide.
D) The upper whisker will be much longer than the lower whisker.
Answers
Answer:
B). The left and right-hand edges of the box will be approximately equal distances from the median.
Step-by-step explanation:
The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.
the mean of the numbers 5, 2x, 4 and 3 is 5 find the value of x
Answers
Answer:
X=4
Step-by-step explanation:
(5+4+3+2x)/4=5
(12+2x)/4=5
12+2x=20
2x=8
X=4
23
1 Which of the following numbers makes
the inequality below true?
2.5p < 14
Ap=5
Bp=6
cp=7
Dp = 8
lo What is the value of n in the countion
Answers
Answer:
A. p=5
Step-by-step explanation:
2.5x5=12.5
The rest are over 14
Hope this helps! :)
salma is 1.45 meters tall. at 3p.m she measures the length of a tree's shadow to 29.35 meters. she stands 24.3 meters away from the tree, so that the tip of her shadow meets the tip of the treels shadow. find the height of the tree to the nearest hundreth of a meter.
Answers
Answer:
23.67
Step-by-step explanation:
Answer:
kimjnuhbygvtcfrdxe
Step-by-step explanation:
What is the result when the number 84 is decreased by 50%?
Answers
Answer:
42
Step-by-step explanation:
Answer:
42
84 ×50%by100 =42. 84-42= 42. hope helpful answerChoose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answers
Answer:
5, 10 and 13
Step-by-step explanation:
5 - 3 = 2 < 10
10 - 3 = 7 < 10
13 - 3 = 10 = 10
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answers
Answer:
x = 30°
Step-by-step explanation:
(3x) = 90
[tex](3x)/3=90/3[/tex]
x [tex]=[/tex] 30
Hence, x = 30°
Select Yes or No to state whether each data set is likely to be normally distributed
Answers
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
One of the legs of a right triangle measures 16 cm and the other leg measures 8 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer:
17.9
Step-by-step explanation:
Use the Pythagorean theorem, c²= a² + b². We can rewrite it as c = √(a² + b²), a=16 and b=8. Plug it in as c = √(16² + 8²) then simplify.
c = √(16² + 8²)
c = √(256 + 64)
c = √320
c≈17.9 (rounded to the nearest tenth)
how much does a customer save for buying a sound system marked $1,200 at a discount of 15%
Answers
Answer:
Step-by-step explanation:
Mp=$1200
Let sp be x
SP=MP-discount% of MP
x=1200-15/100 * 1200
x=120000-18000/100
x=102000/100
x=1020
the amount of money person saves=MP-SP
=$1200-$1020
=$180
therefore he saves $180
what type of triangle measuring 60cm, 100 cm, 40 cm
Answers
Answer:
Not a triangle
Step-by-step explanation:
Not a triangle.
The sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
40 + 60 is not greater than 100
therefor it is not a triangle
URGENT HELP! SOLVE FOR A
answer choices : 24.6
27.8
18.7
44.2
Answers
9514 1404 393
Answer:
(b) 27.8
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(22°) = a/30
a = 30×cos(22°) ≈ 27.8
Convert to scientific notation: 0.000112
Answers
Answer:
Answer is=112power -4
please make me brainlest pls
Answer:
[tex]10^{-4}[/tex]x 1.12
Step-by-step explanation:
4 times to the right
Megan worked 20 hours last week. This
week she worked 80% more hours. How
many more hours did she work this week 2
Answers
Answer:
16 more hours for a total of 36 hours.
Step-by-step explanation:
C= 20 × .8
C= 16
T= 20 + C
T = 20 + 16
T = 36
When a coin is tossed it is either heads or tails. Suppose heads has a point value of 1 and tails a point value of -1. if the sum of the point value after 50 tosses is 14. How many of the tosses must have been heads?
Answers
Answer:
32
Step-by-step explanation:
Totally there are 50 tosses.
Let the number of tosses which resulted head be x.
Therefore the number of tosses which resulted tail is 50−x.
We get x×1+(50−x)×(−1)=14
x−(50−x)=14
x−50+x=14
x=32
In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly
Answers
there seems to be missing text