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

Chapter 5, Problem 18BSC

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QUESTION:

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?

Questions & Answers

QUESTION:

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?

ANSWER:

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) =

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