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MATH 2311-06 Test Review 1. The senior class of a high school has 350 students. How many ways can they select a committee of 5 students?

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Presentation on theme: "MATH 2311-06 Test Review 1. The senior class of a high school has 350 students. How many ways can they select a committee of 5 students?"— Presentation transcript:

1 MATH 2311-06 Test Review 1

2 The senior class of a high school has 350 students. How many ways can they select a committee of 5 students?

3 The senior class of a high school has 350 students. How many ways can they select 5 officers (President, Vice President, …)?

4 The probability that a person has brown hair is P(H)=0.6. The probability that a person has brown eyes is P(E)=0.7. The probability that someone has both brown hair and eyes is P(H and E)=0.5. What is the probability that a person has either brown hair or brown eyes or both?

5 You are dealt 5 cards from a standard deck of 52 cards. Find the probability that you are dealt: a) 4 aces b)No aces c)1 ace

6 Let A={2, 3, 4}; B={4, 5}; C={2, 4, 6, 8}. Let U=A U B U C. Find (A c ∩B) c

7 Given the following sampling distribution, determine: a. P(X=5) b. P(X>3)

8 Given the following sampling distribution, determine: a. E[X] b. standard deviation of x

9 Suppose you have a distribution, X, with mean of 60 and standard deviation of 2. Suppose another distribution, W, is defined as: W = 3X + 2. a. Determine E[W] b. Determine σ of W

10 Determine if the distribution is binomial, geometric or neither: The probability of a person contracting the flu in a certain town in P(F)=0.7. How many people would you expect to test for the flu before finding one that tests positive?

11 The probability of a person contracting the flu in a certain town in P(F)=0.7. Out of a group of 25 people tested, what is the probability that exactly 6 of them have the flu?

12 Determine the mean and standard deviation for a geometric distribution with a probability of success of P(S)=0.6.

13 It is determined that the probability of being in a car accident within 1 year of obtaining a driver’s license is P(A)=0.35. You interview 10 people that have had a license for one year. What is the probability that: a. None have had a car accident? b. At least one had a car accident?

14 Given the following probabilities: P(A) = 0.4; P(B) = 0.6, P(A∩B) = 0.2. a. P(AUB)= b. P(A|B)= c. Are A and B independent events?

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