math80.sample quiz9 - latest edit: Tuesday, March 10, 04:34...

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latest edit: Tuesday, March 10, 04:34 pm wostner: exercises: binomial distribution - 1 ©2006-2009 ulf wostner<wostner@cyberprof.com> 1. A family has six children. Assume that each birth boy birth and girl birth are equally likely. What is the probability that . .. a. P(they have exactly four girls) = Answer: 0.2344 = 23% b. P(they have at least four girls) = Answer: 0.3438 = 34% 2. Draw a histogram for the problem above. X = BINOMIAL(6, 0.50) 3. A family has six children. Assume that each birth the probability of it being a girl is 60%. What is the probability that . .. a. P(they have exactly four girls) = Answer: 0.3110 = 31% b. P(they have at least four girls) = Answer: 0.5443 = 54% 4. For the distribution X = BINOMIAL(6, 0.6) , verify the values in the table below. Notation: Cumulative probability: cum(x) = p(0) + p(1) + … + p(x). X = BINOMIAL(6, 0.600000), E(X) = 3.60 and SD(X) = 1.20 x 0 1 2 3 4 5 6 p(x) 0.0041 0.0369 0.1382 0.2765 0.3110 0.1866 0.0467 cum(x) 0.0041 0.0410
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math80.sample quiz9 - latest edit: Tuesday, March 10, 04:34...

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