6.50 Binomial needs fixed n For the binomial distribution, the number of trials n is a fixed number. Let X denote the number of girls in a randomly selected family in Canada that has three children. Let Y denote the number of girls in a randomly selected family in Canada (that is, the number of children could be any number). A binomial distribution approximates well the probability distribution for one of X and Y, but not for the other. t al a. Explain why. b. Identify the case for which the binomial applies and identify n and p.

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Chapter1: Combinatorial Analysis
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6.50
Binomial needs fixed n
For the binomial distribution,
the number of trials n is a fixed number. Let X denote the
number of girls in a randomly selected family in Canada
that has three children. Let Y denote the number of girls in
a randomly selected family in Canada (that is, the number
of children could be any number). A binomial distribution
approximates well the probability distribution for one of X
and Y, but not for the other.
t
al
a. Explain why.
b. Identify the case for which the binomial applies and
identify n and p.
Transcribed Image Text:6.50 Binomial needs fixed n For the binomial distribution, the number of trials n is a fixed number. Let X denote the number of girls in a randomly selected family in Canada that has three children. Let Y denote the number of girls in a randomly selected family in Canada (that is, the number of children could be any number). A binomial distribution approximates well the probability distribution for one of X and Y, but not for the other. t al a. Explain why. b. Identify the case for which the binomial applies and identify n and p.
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