# Question: For the following random variables explain why at least one

For the following random variables, explain why at least one condition needed to use the binomial distribution is unlikely to be satisfied.

a. X = number of people in a family of size 4 who go to church on a given Sunday, when any one of them goes 50% of the time in the long run (binomial, n = 4, p = 0.50 ).

b. X = number voting for the Democratic candidate out of the 100 votes in the first precinct that reports results, when 60% of the population voted for the Democrat in that state (binomial, n = 100, p = 0.60 ).

c. X = number of females in a random sample of four students from a class of size 20, when half the class is female (binomial, n = 4, p = 0.50).

a. X = number of people in a family of size 4 who go to church on a given Sunday, when any one of them goes 50% of the time in the long run (binomial, n = 4, p = 0.50 ).

b. X = number voting for the Democratic candidate out of the 100 votes in the first precinct that reports results, when 60% of the population voted for the Democrat in that state (binomial, n = 100, p = 0.60 ).

c. X = number of females in a random sample of four students from a class of size 20, when half the class is female (binomial, n = 4, p = 0.50).

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