Chrome File Edit View History Bookmarks People Window Helb Class Notes: OJ x b/S

Question

Chrome File Edit View History Bookmarks People Window Helb Class Notes: OJ x b/StudentJAssignment-Responses/last?dep-16598933 Let the random variable x denote the number of girls in a five-child family. Ir the probability of a female birth is 0.5, find the following probabilizies (e) Find the probability of o, 1, 2,3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places) PrO girls)- 2 girts) . 3 girls)- 4 girls)- Pts giris)- (b) Construct the binomial distribution, and draw the histogram associated with this experiment Probability Probability 0.5 0.4 03 0.2 0.1 0.3 0.2 Girls Girls Probabdity Probabliry WeAssign pet 0.3 0 2 0.2 0.1 Girls Girls 84 In-class MacBook Air 8

Explanation / Answer

From the output of binomial probabilities calculator with parameters n = 5, p = 0.5, the required probabilities will be:

P(0 girls) = 0.031

P(1 girl) = 0.156

P(2 girls) = 0.313

P(3 girls) = 0.313

P(4 girls) = 0.156

P(5 girls) = 0.031

Graph A is correct.

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