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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 11DE
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Transcribed Image Text: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
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