Say you are playing Twister and spinning the color wheel. There are four colors: red, green,...

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Say you are playing Twister and spinning the color wheel. There are four colors: red, green,...

Say you are playing Twister and spinning the color wheel. There are four colors: red, green, blue, and yellow. Spin the spinner 12 times and count blue as a success.

What is the probability of getting the number 3 in one spin (probability of success)?
Assuming this fits all the criteria for a binomial distribution, what would the expected value (mean) be?
What would the standard deviation be?

math Statistics-And-Probability

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Answer 1

Answer #1

a) P(3 in one spin) = P(blue) = 1/4 = 0.25

b) n = 12

p = 0.25

Expected value = n * p = 12 * 0.25 = 3

c) Standard deviation = sqrt(n * p * (1 - p)) = sqrt(12 * 0.25 * 0.75) = 1.5

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Answer 2

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