Question

If a gambler places a bet on the number 7 in​ roulette, he or she has...

If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of winning.

Find the mean and standard deviation for the number of wins of gamblers who bet on the number 7 one hundred and seventy times

The value of the mean is μ=___?

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Answer #1

Answer:

Given that:

If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of winning.

Here X ~ Binomial(n = 170, p=2)

If p= 38 then  q=1-p=1-

Mean = np

  = 170*

  = 4.4736

Value of mean = 4.4736

Standard deviation = \sqrt{npq}

V170*

= 2.0871

Standard deviation = 2.0871

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