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Roulette If you place a bet on the number 7 in roulette,
Chapter 5, Problem 18BSC(choose chapter or problem)
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) =