stats--review-chapt04

# stats--review-chapt04 - Review Chapter 4 Probability...

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1 Review: Chapter 4: Probability Distribution 1. Concepts: Random Variable Probability Distribution Discrete random variable and Continuous random variable Requirements for Probability Distribution Expected Value of a discrete random variable Binomial Probability Distribution 2. Practicing Problems: Identify the given random variable as being discrete or continuous. 1) The cost of a randomly selected orange A) Continuous B) Discrete 2) The number of oil spills occurring off the Alaskan coast A) Discrete B) Continuous 3) The pH level in a shampoo A) Continuous B) Discrete 4) The number of phone calls between New York and California on Thanksgiving day A) Continuous B) Discrete SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 9) xP ( x ) 1 0.0370 2 0.2000 3 0.4440 4 0.2960 10) ( x ) 00 . 1 8 10 . 1 9 20 . 1 3 30 . 4 7 40 . 0 3 Find the mean of the given probability distribution. 16) ( x ) . 1 7 . 1 6 . 0 7 . 4 0 . 2 0 A) 2.30 B) 2.47 C) 2.37 D) 2.20

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2 17) The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows. xP ( x ) 00 . 2 4 10 . 0 1 20 . 1 2 30 . 1 6 40 . 0 1 50 . 1 4 60 . 1 1 70 . 2 1 A) 3.60 B) 3.35 C) 3.50 D) 3.40 Solve the problem. 23) Find the variance for the given probability distribution. ( x ) . 1 9 . 3 3 . 3 1 . 0 9 . 0 8 A) 3.66 B) 1.29 C) 1.52 D) 1.48 24) Find the standard deviation for the given probability distribution. ( x ) . 0 5 . 3 0 . 1 1 . 3 4 . 2 0 A) 1.25 B) 1.23 C) 2.65 D) 1.52 Find the Expected Value 33) In a game, you have a 1/30 probability of winning \$101 and a 29/30 probability of losing \$8. What is your expected value?
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stats--review-chapt04 - Review Chapter 4 Probability...

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