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Probability, Mean, Standard Deviation

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September 9th, 2022

When a female who is a carrier of color-blindness and a male who does not carry color blindness parent a child, the probability is 0.25 that a child born will be a color-blind male. Assume one such couple will have 6 children. Let X = the number of color-blind males parented by this couple.

a. Find the probability that this couple will have no color-blind males.

b. Find P[3 < X < 5].

c. Find the mean of X.

d. Find the standard deviation of X.

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