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Roulette If you place a bet on the number 7 in roulette,

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 18BSC Chapter 5.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 18BSC

Roulette If you place a bet on the number 7 in roulette, you have a 1/38 probability of winning.

a. Find the mean and standard deviation for the number of wins for people who bet on the number 7 fifty times.

b. Would 0 wins in 50 bets be an unusually low number of wins?

Step-by-Step Solution:
Step 1 of 3

Problem 18BSC

Answer:

Step1 of 2:

We have If you place a bet on the number 7 in roulette, you have a 1/38 probability of winning.

That is n = 50 and p = 1/38.

The mean and standard deviation for the number of wins for people who bet on the number 7 fifty times is given by

Consider a random variable “x” follows binomial distribution with sample size “n” and proportion “p”.

i,e.X B(n, p)

Where,

n = 50 and p = 1/38 = 0.0263.

q = 1 - p

   = 1 - 0.0263

   = 0.9736.

Probability mass function of binomial distribution is given by

P(x) = , x = 0,1,2,...,n.

With mean E(x) = np and variance var(x) = npq

Consider,

E(x) = np

        = 500.0263

        = 1.315

Therefore,E(x) = 1.315

 var(x)...

Step 2 of 3

Chapter 5.4, Problem 18BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Roulette If you place a bet on the number 7 in roulette,

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