# Math221 Week 5 Quiz

**Topics:**Random variable, Probability theory, Normal distribution

**Pages:**5 (1113 words)

**Published:**March 13, 2013

1. Question:

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

| | 100| | |

| | 125| | |

| | 15,504| | |

| | 53,130| ( Ch 4: Order does not matter: 25C5 = 53,130 ) | CORRECT| Points Received: 5 of 5 2. Question:

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

Your Answer:

| | 1| | |

| | 85%| | |

| | 0.425| | |

| | 4/3| ( Ch 3: 4/3 = 1.333… cannot be a probability because probabilities are always between 0 and 1 inclusive ) | CORRECT| Points Received: 5 of 5 3. Question:

(TCO 4) List the sample space for dealing only clubs from a deck of cards. Your Answer:

| | {A, 1, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K}| ( Ch 3 ) | | | | {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K}| | CORRECT| | | {A, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K}| | | | | { 1, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K}| | | Points Received: 5 of 5 4. Question:

(TCO 4) What is the probability of choosing a queen on the 2nd draw if the first was a queen (without replacement)? Your Answer:

| | 0.077| | |

| | 0.041| | |

| | 0.059| ( Ch 3: 3/51 ) | CORRECT| | | 0.023| | |

Points Received: 5 of 5 5. Question:

(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? Your Answer:

| | 0.33| | |

| | 0.353| | |

| | 0.67| | |

| | 0.647| ( Ch 3: 33/51 = 0.647 ) | CORRECT| Points Received: 5 of 5 6. Question:

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

Your Answer:

| | 6| | |

| | 1| ( Chapter 4 ) | CORRECT| | | 12| | |

| | 0| | |

Points Received: 5 of 5 7. Question:

(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. Your Answer:

| | binomial| | |

| | Poisson| ( Ch 4 ) | CORRECT| | | neither| | |

Points Received: 5 of 5 8. Question:

(TCO 5) Given a Poisson distribution with mean = 4. Find P(X > 3). Your Answer:

| | 0.195| | |

| | 0.238| | |

| | 0.433| | |

| | 0.567| ( Chapter 4 ) | CORRECT| Points Received: 5 of 5 9. Question:

(TCO 5) Given the random variable X = {5, 6} with P(5) = 0.2 and P(6) = 0.8. Find E(X). Your Answer:

| | 5.8| ( Chapter 4: E(X) = sum of (X * P(X)) ) | CORRECT ANSWER| | | 1.8| | INCORRECT|

| | 4.8| | |

| | 6.2| | |

Points Received: 0 of 5 10. Question:

(TCO 5) If X = {10, 20, 30, 40} and P(10) = 0.30, P(20) = 0.30, P(30) = 0.30, and P(40) = 0.30, can distribution of the random variable X be considered a probability distribution? Your Answer:

| | yes| | |

| | no| ( Chapter 4: sum of the probabilities is not equal to 1 ) | CORRECT ANSWER| Points Received: (not graded) 11. Question:

(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? Your Answer:

| | yes| | |

| | no| ( Chapter 4: sum of the probabilities is not equal to 1 ) | CORRECT| Points Received: 5 of 5 12. Question:

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

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