1. USING PERMUTATION RULE & COMBINATIONS RULE Determine when to use the permutation rule or the combination rule for the following questions. (a) In a Pennsylvania Cash 5 lottery, winning the top prize requires that you select the correct five different numbers between 1 and 43 (in any order). What is the probability of winning the top prize? Express the answer as a fraction. (b) In a horse race, an exacta bet is won by correctly selecting the horses that finish first and second, and they must be in the order that they finished. The 140th Kentucky Derby race was run with 19 horses. If you make random selections for an exact bet, what is the probability of winning? 2. PROBABILITY DISTRIBUTIONS Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. • A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person (based on a Microsoft Instant Messaging survey). P(x) x 0123 0.092 0.334 0.408 0.166
1. USING PERMUTATION RULE & COMBINATIONS RULE Determine when to use the permutation rule or the combination rule for the following questions. (a) In a Pennsylvania Cash 5 lottery, winning the top prize requires that you select the correct five different numbers between 1 and 43 (in any order). What is the probability of winning the top prize? Express the answer as a fraction. (b) In a horse race, an exacta bet is won by correctly selecting the horses that finish first and second, and they must be in the order that they finished. The 140th Kentucky Derby race was run with 19 horses. If you make random selections for an exact bet, what is the probability of winning? 2. PROBABILITY DISTRIBUTIONS Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. • A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person (based on a Microsoft Instant Messaging survey). P(x) x 0123 0.092 0.334 0.408 0.166
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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