Using the binomial distribution, it is found that the probabilities are given as follows:
a) 0.2036 = 20.36%.
b) 0.0011 = 0.11%.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the parameters are given as follows:
p = 0.95, n = 5.
Item a:
The probability is P(X = 4), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.95)^{4}.(0.05)^{1} = 0.2036[/tex]
Item b:
The probability is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} \approx 0[/tex]
[tex]P(X = 1) = C_{5,1}.(0.95)^{1}.(0.05)^{4} \approx 0[/tex]
[tex]P(X = 2) = C_{5,2}.(0.95)^{2}.(0.05)^{3} = 0.0011[/tex]
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0011 = 0.0011.
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13. F(x)= -2x squared help please
Answer:
Step-by-step explanation:
(0,-2)
Let R be a region in the xyâplane and β >0 be a constant. What is the region R that will minimize the value ofintegral(x^2 + y^2 - b^2)?
Let R be region in the xy-plane and β>0 be the constant. What is the region R that will minimize the value of integral (x² + y² - β²).
i.e.
[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex]
Answer:
0
Step-by-step explanation:
Given that:
[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex]
where;
R is the region in the xy-plane.
To minimize our double integral, we have to determine the region over which the function we are integrating has a negative value.
x² + y² - β² ≤ 0 ; where β > 0 is a constant
x² + y² ≤ β² is the circle with center (0,0)
Radius "β" because R: x² + y² ≤ β²
The polar coordinates: x = rcosθ and y = rsinθ
x² + y² = r²
⇒ r limits : r = 0 → β
⇒ θ limits : r = 0 → 2π
[tex]\iint_R(x^2+y^2-\beta^2) \ dA =\int\limits ^{2 \pi}_{\theta=0} \int \limits ^{\beta}_{r=0}( \beta^2 -\beta^2) \ rd \ rd\ \theta[/tex]
[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex] = 0
Store A is selling 7 pounds of bananas for $7:00. Store B is selling 3 pounds of bananas for $6:00. Which Store has the better deal
Answer:
Store A has a better deal
Step-by-step explanation:
Answer:
Store A has the better deal
Step-by-step explanation:
People would see that 7 pounds of bananas is worth 7$ and would buy from store A instead of store B for selling a lesser amount for almost the same price.
An Air Force plane left Paris and flew toward Moscow. A cargo plane left one hour later flying 40 km/h faster in an effort to catch up to it. After four hours the cargo plane finally caught up. What was the Air Force plane's average speed?
(Use box method)
Their is your answer hope i get a like
Answer:
The plane is traveling at 160 km/h
Step-by-step explanation:
This is because if the first plane is traveling at 160 and flies for 5 hours it'll travel 800 km. then the second plane will have to catch up in 4 hours since it left an hour late, this means traveling at 160 km with an extra 40 km in 4 hours will get it to the first plane at 800 km in the 4 hours given
Triangles are 3 sided polygon's. true or false?
True Triangles are 3 sided polygon's
Name the property illustrated. 8 + 5 + 7 = 5 + 8 + 7
Answer:
8 + 5 + 7 =20
Step-by-step explanation:
Patricia can drive 36 kilometers for every 3 liters of gas she puts in her car.
Complete the table using equivalent ratios.
Kilometers Liters
36 3
48 ____
____ 11
Answer:
There are two, the first one is 4 and the second is 132
Step-by-step explanation:
36 divided by 3 is 12, so 48 divided by 12 would give us the answer 4. In the last one, you multiply 11 by 12 instead.
Step-by-step explanation:
the second one is 132 uuwwuu
Solve the
equation:
-88 = X-10
Answer:
I think it is x=-78
Step-by-step explanation:
Learned it in math class :)
1 + 1 I'm confusedddddddddddddddddddddddddddddddddddddddddd
Answer:
its 2 homie
Step-by-step explanation:
1+1 equals 2 one thing plus another equals the next number.
Caleb draws two triangles (image)
Answer:
no no yes yes
Step-by-step explanation:
Find the domain : 15 - sq root (x+2)
Answer:
x ≥ -2
Step-by-step explanation:
Difference between 25 and the product of two and three
Answer:
19
Step-by-step explanation:
25 - (2×3) = 25 - 6 = 19
.........
Solve an equation. 24 kg = ___ g
Answer:
24000 regular grams
Answer: 24000
Step-by-step explanation: because you have to multiply the mass value by 1000
(a) What percent of 76 is 19?
(b) 68 is 85% of what?
Answer:
A. 25
B. 80
Step-by-step explanation:
Hope this helped, Have a Wonderful Day/Night!!!
Hannah purchased three items at the store for $7.05, $8.12, and $3.97. She paid for
her items with a $50 bill. Which most closely estimates the change Hannah should
receive?
Answer:
She should receive $30.86
Step-by-step explanation:
$7.05 + $8.12 + $3.97 =19.14
50 - 19.14 = 30.86
Using the subtraction method we have found that Hannah will receive the change of $30.86
What is subtraction?Subtraction is an arithmetic operation that represents the operation of removing objects from a collection
Total cost of three items =7.05 + 8.12 + 3.97 =$19.14
She paid $50 bill
Change that Hannah should receive is =50 - 19.14 = $30.86
Hence, change that Hannah should receive is$30.86
Learn more about subtraction here
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I HATE THIS APP PEOPLE PUT FAKE ANWSERS ALL THE ONES I PUT WERE WRONG
Answer:
ok?
Step-by-step explanation:
Answer:
Avocados from Mexico
Step-by-step explanation:
Does (2,-3) satisfies the equation 5x+3y=1
Answer: Yes
Step-by-step explanation: We're going to have to substitute
in the coordinates of that ordered pair into the equation.
I am going to substitute in the x and substitute in the y.
So it's really 5(2) + 3(-3) = 1.
From here it should be pretty straightforward,
all we are doing is evaluating the statement.
Simplifying on the left we have 10 + -9 = 1 or 1 = 1.
Now we know that the ordered pair (2, -3) satisfies this equation.
Please help me.......................
Answer:
I think that the answer is
-g + 12
I used a math check calculator and it said that the above is the answer
How long is 70% of 60 mins
Answer:
140%of minutes
Step-by-step explanation:
Answer:
42 minutes
Step-by-step explanation:
GIVING BRAINLIST ASAP
A basketball that sold for $65 is marked up to $70.20. What is the percent of the markup?
i got 8%
Amount of markup:
70.20 −65.00= 5.20
Markup as a percentage of original price
5.20/65.00 x 100 = 8
describe how to solve a system of equations using elimination
Answer: In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Step-by-step explanation:
Answer:
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Step-by-step explanation:
Find each value if f(x) = 2x- 1 and g(x) = 2 - x2,
f(12)
f(0)
convert 6¼ % to fraction
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{4}=\frac{25}{4}[/tex]
since percent means divided by 100
[tex]\frac{25}{4} *\frac{1}{100}[/tex]
=[tex]\frac{1}{16}[/tex]
Answer:
1/16
Step-by-step explanation:
625/10000
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 25 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 15 \ months[/tex]
The sample size is n = 25
The sample mean is [tex]\= x = 17 \ months[/tex]
The standard deviation is [tex]s = 5.5 \ months[/tex]
Let assume the level of significance of this test is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 15[/tex]
The alternative hypothesis is [tex]H_a : \mu > 17[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n -1[/tex]
=> [tex]df = 25 -1[/tex]
=> [tex]df = 24[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }[/tex]
=> [tex]t = 1.8182[/tex]
Generally from the student t distribution table the probability of obtaining [tex]t = 1.8182[/tex] to the right of the curve at a degree of freedom of [tex]df = 24[/tex] is
[tex]p-value = P(t > 0.18182 ) = 0.4286[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Which sequence could be partially defined by the recursive f (n + 1) = f(n) + 2.5 for n > 1?
Answer:
Step-by-step explanation:
f(n + 1) = f(n) + 2.5
f(1) = -10
f(2) = f(1) + 2.5 = -10 + 2.5 = -7.5
f(3) = f(2) + 2.5 = -7.5 + 2.5 = -5
f(4) = f(3) + 2.5 = -5 + 2.5 = -2.5
please help me asap
Answer:
3) 2 and 2/9
4) 1 and 1/9
Step-by-step explanation:
-5(4m - 6) + (-9 + 7m)
Answer:
-13m + 21
Step-by-step explanation:
Use the Distributive Property to simplify the expression. 10(4-w)=
HELP PLZ!!!!!!
Answer:
40 - 10w
Step-by-step explanation:
Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 1 2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction and a decimal.
Answer: 7 1/2 cubic cm
Step-by-step explanation:
What is 100/82 ×683.3
Answer:
833.29
Just work it out on a piece of paper.