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Question1)Suppose a random variable, x, arises from a binomial experiment
Question1)Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13 , find the P(X = 3) using Excel. Round answer to 4 decimal places.
Question 2
If random variable X has a binomial distribution with n=9 and P(success) =p= 0.4, find the standard deviation of X. (keep 4 decimal places)
Question 3
A coin is flipped 30 times. What is the probability of getting exactly 15 heads? Round answer to 4 decimal places.
Question 4
Approximately 8% of all people have blue eyes. A random sample people is selected, find μ. Do not round answer.
Question 5
Approximately 10% of all people are left-handed. Out of a random sample of 15 people, what is the probability that 4 of them are left-handed? Round answer to 4 decimal places.
Question 6
shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected.
|
NAME |
|
Run |
|
Home |
|
Triple |
|
Double |
|
Single |
|
HITS |
|
TOTAL |
|
Babe |
|
Ruth |
|
1,517 |
|
506 |
|
136 |
|
714 |
|
2,873 |
|
Jackie |
|
Robinson |
|
1,054 |
|
273 |
|
54 |
|
137 |
|
1,518 |
|
Ty |
|
Cobb |
|
3,603 |
|
174 |
|
295 |
|
114 |
|
4,189 |
|
Hank |
|
Aaron |
|
2,294 |
|
624 |
|
98 |
|
755 |
|
3,771 |
|
TOTALS |
|
8,468 |
|
1,577 |
|
583 |
|
1,720 |
|
12,351 |
|
• |
|
Question 7 |
You are going to a benefit dinner, and need to decide before the dinner what you want for salad, main dish, and dessert. You have 2 different salads to choose from, 3 main dishes, and 5 desserts. How many different meals are available?
Question 8
You are opening a T-shirt store. You can have long sleeves or short sleeves, three different colors, five different designs, and four different sizes. How many different shirts can you make?
Question 9
How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type?
|
Part 4 of 6 - Discrete Probability Question 10 |
The random variable X = the number of vehicles owned. Find the probability that a person owns at least 2 vehicles.
|
x |
0 |
1 |
2 |
3 |
4 |
|
P(X=x) |
0.1 |
0.35 |
0.25 |
0.2 |
0.1 |
Question 11
Does the following table represent a valid discrete probability distribution? 1.0/ 1.0 Points
|
x |
1 |
2 |
3 |
4 |
5 |
|
P(X=x) |
0.16 |
0.11 |
0.06 |
- 0.36 |
0.21 |
.
Question 12
Is the following table a valid discrete probability distribution? 1.0/ 1.0 Points
|
x |
0 |
1 |
2 |
3 |
4 |
|
P(X=x) |
0.111 |
0.214 |
0.312 |
0.163 |
0.159 |
Question 13
Let X be the number of courses taken by a part-time student at a college. The following table shows the probability distribution of X with probability as a percentage.
|
Number of Courses , x |
1 |
2 |
3 |
|
Probability, P(X=x) |
52% |
28% |
20 % |
What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2)
|
Question 14 |
The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with an average of 2.83 rescues every eight hours. What is the probability that the squad will have exactly 4 calls in two hours? Round answer to 4 decimal places.
Question 15
The mean number of visitors at a national park in one weekend is 55. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 71 visitors at this park in one weekend. (That is, find P(X≤71) (keep 4 decimal places)
Question 16
If random variable X has a Poisson distribution with mean = 10, find the probability that X is more than 8. (That is, find P(X>8) (keep 4 decimal places)
Question 17
Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X ≥ 125) over an hour. Round answer to 4 decimal places.
Question 18
A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 4 or more customers at this bank in one hour. (That is, find P(X≥4)) (keep 4 decimal places)
Question 19
In a recent study, the following data were obtained in response to the question, “Do you favor recycling in your neighborhood?” If a person is picked at random, what is the probability that the person is either male or has no opinion regarding recycling?
Question 20
A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(C).
Expert Solution
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