MATH 221 Week 5 Quiz

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 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}

 

 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.
Student Answer:  binomial
 Poisson
 neither

 

 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?
Student Answer:  yes
 no

 

 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?
Student Answer:  yes
 no

 

 12. Question : (TCO 5) The number of shoes in your closet represents what kind of distribution?
Student Answer:  discrete
 continuous

 

 13. Question : (TCO 5) Your baby’s height represents what kind of distribution?
Student Answer:  discrete
 continuous

 

 14. Question : (TCO 5) The amount of posts in our class at a given time represents what kind of distribution?
Student Answer:  discrete
 continuous
 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

 

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