A is the fando1 construct a table showing the probability distribution of X and (b) represent the di graphically. ant values only between X = 2 and

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Chapter1: Combinatorial Analysis
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solve 6.53

Elementary Probability Theory
6.33
6.52 Out of 800 families with 4 children each, what percentage would be expected to have (a) 2 boys and
2 girls, (b) at least 1 boy, (c) no girls, and (d) at most 2 girls? Assume equal probabilities for boys and
girls.
Probability Distributions
6.53 If X is the random variable showing the number of boys in families with 4 children (see Problem 6.51),
(a) construct a table showing the probability distribution of X and (b) represent the distribution in part
(a) graphically.
6.54 A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a
density function given by a{X + 3}, where a is a constant. (a) Calculate a. Find (b) Pr{3 < X<5},
Transcribed Image Text:Elementary Probability Theory 6.33 6.52 Out of 800 families with 4 children each, what percentage would be expected to have (a) 2 boys and 2 girls, (b) at least 1 boy, (c) no girls, and (d) at most 2 girls? Assume equal probabilities for boys and girls. Probability Distributions 6.53 If X is the random variable showing the number of boys in families with 4 children (see Problem 6.51), (a) construct a table showing the probability distribution of X and (b) represent the distribution in part (a) graphically. 6.54 A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a density function given by a{X + 3}, where a is a constant. (a) Calculate a. Find (b) Pr{3 < X<5},
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