Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities. (a) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places.) P(0 girls) = P(1 girl) = P(2 girls) = P(3 girls) = P(4 girls) = P(5 girls) = (b) Construct the binomial distribution, and draw the histogram associated with this experiment. Probability 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 Girls 3 4 4 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 1 2 4 2 4 (c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.) mean girls standard deviation girls
Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities. (a) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places.) P(0 girls) = P(1 girl) = P(2 girls) = P(3 girls) = P(4 girls) = P(5 girls) = (b) Construct the binomial distribution, and draw the histogram associated with this experiment. Probability 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 Girls 3 4 4 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 1 2 4 2 4 (c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.) mean girls standard deviation girls
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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