# MATH 221 Week 5 Quiz

1. (TCO 4) How many ways can an EMT union committee of 5 be chosen from 25 EMTs?

2. (TCO 4) Which of the following cannot be a probability?

3. (TCO 4) List the sample space of rolling a 6 sided die.

4. (TCO 4) What is the probability of choosing a queen on the 2^{nd} draw if the first was a queen (without replacement)?

5. (TCO 4) A respiratory class has 33 women and 18 men. If a student is chosen randomly to be the team leader, what is the probability the student is a woman?

6. (TCO 4) Compute the following: 3! ÷ (0! * 3!)

7. (TCO 5) Decide whether the experiment is a binomial, Poisson, or neither based on the information given. A car towing service company averages two calls per hour. We’re interested in knowing the probability that in a randomly selected hour they will receive a call.

8. (TCO 5) Given a Poisson distribution with mean = 4. Find P(X < 3).

9. (TCO 5) Given the random variable X = {7, 8} with P(7) = 0.7 and P(8) = 0.3. Find E(X).

10. (TCO 5) If X = {1, 2, 3, 4, 5, 6} and P(1) = 0.2, P(2) = 0.2, P(3) = 0.2, P(4) = 0.2, P(5) = 0.2, and P(6) = 0.2, can distribution of the random variable X be considered a probability distribution?

11. (TCO 5) If X = {1, 2, 3, 4, 5, 6} and P(1) = 0.3, P(2) = 0.2, P(3) = 0.1, P(4) = 0.1, P(5) = 0.1, and P(6) = 0.3, can distribution of the random variable X be considered a probability distribution?

12. (TCO 5) The weight of a box of Cheerios represents what kind of distribution?

13. (TCO 5) Your baby’s weight represents what kind of distribution?

14. (TCO 5) The number of patients donating blood in a day represents what kind of distribution?

1. (TCO 5) We have a binomial experiment with p = 0.6 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. (TCO 4) What is the probability that the student carries a credit card given he's a sophomore?

Class |
Credit Card Carrier |
Not a Credit Card Carrier |
Total |

Freshman |
33 |
27 |
60 |

Sophomore |
6 |
34 |
40 |

Total |
39 |
61 |
100 |

3. (TCO 4) Some students were asked if they carry a credit card. Here are their 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 is a sophomore?

4. (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 |