# MATH 221 Week 5 Quiz

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## MATH 221 Week 5 Quiz

 1 Question : (TCO 4) Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club members?
 Student Answer: 24,360 4060 27000 52360

 2 Question : (TCO 4) Which of the following cannot be a probability?
 Student Answer: 0 -49 0.001 14%Type: ES

 3 Question : (TCO 4) List the sample space of rolling a 6 sided die.
 Student Answer: {1, 3, 5} {1, 2, 4, 6} {1, 2, 3, 4, 5, 6} {2, 3, 4, 5, 6}

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 4 Question : (TCO 4) What is the probability of choosing a queen on the 2nd draw if the first was a queen (without replacement)?
 Student Answer: 0.077 0.041 0.059 0.023

 5 Question : (TCO 4) A nursing class has 13 women and 18 men. If a student is chosen randomly to be the team leader, what is the probability the student is a woman?
 Student Answer: 0.419 0.581 0.333 0.667

 6 Question : (TCO 4) Compute the following: 3! ÷ (0! * 3!)
 Student Answer: 6 1 12 0

 7 Question : (TCO 5) Decide whether the experiment is a binomial, Poisson, or neither based on the information given. Each week a man plays a game in which he has a 21% chance of winning. The random variable is the number of times he wins in 64 weeks.

 8 Question : (TCO 5) Given a Poisson distribution with mean = 4. Find P(X < 3).
 Student Answer: 0.195 0.238 0.433 0.567

 9 Question : (TCO 5) Given the random variable X = {7, 8} with P(7) = 0.7 and P(8) = 0.3. Find E(X).
 Student Answer: 4.9 2.4 2.5 7.3

 10 Question : (TCO 5) If X = {-1, 12, 3, -4} and P(-1) = 0.3, P(12) = 0.1, P(3) = 0.2, and P(-4) = 0.4, can distribution of the random variable X be considered a probability distribution?

 11 Question : (TCO 5) If X = {2, 6, 10, 14} and P(2) = 0.2, P(6) = 0.3, P(10) = 0.4, and P(14) = 0.1, can distribution of the random variable X be considered a probability distribution?

 12 Question : (TCO 5) The number of shoes in your closet represents what kind of distribution?

 13 Question : (TCO 5) Your baby’s height represents what kind of distribution?

 14 Question : (TCO 5) The amount of posts in our class at a given time represents what kind of distribution?
 1 Question : (TCO 5) We have a binomial experiment with p = 0.4 and n = 2.(1) Set up the probability distribution by showing all x values and their associated probabilities.(2) Compute the mean, variance, and standard deviation.

2.Question :(TCO 4) What is the probability that the student is a sophomore given he doesn’t carry a credit card?

 Class Credit Card Carrier Not a Credit Card Carrier Total Freshman 33 27 60 Sophomore 6 34 40 Total 39 61 100

3.Question :(TCO 4) Some students were asked if they carry a credit card. Here are the responses.

 Class Credit Card Carrier Not a Credit Card Carrier Total Freshman 33 27 60 Sophomore 6 34 40 Total 39 61 100

What is the probability that the student didn’t carry a credit card?

4.Question :(TCO 4) What is the probability that the student is a sophomore and doesn’t carry a credit card?

 Class Credit Card Carrier Not a Credit Card Carrier Total Freshman 33 27 60 Sophomore 6 34 40 Total 39 61 100 