Forty-three percent of marriages end in divorce. you randomly select 15 married couples. find the probability exactly 5 of the marriages will end in divorce.

Question

Mathematics

Makhi Lynch

28 December, 19:52

Forty-three percent of marriages end in divorce. you randomly select 15 married couples. find the probability exactly 5 of the marriages will end in divorce.

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Dixie Richardson · Answer 1

The conditions are suitable to be modelled using a binomial distribution.

p=0.43

n=15

x=5

P (x=5)

=C (15,5) * 0.43^5 * (1-0.43) ^ (15-5)

=15! / (5! (15-5) !) * 0.43^5 * (1-0.43) ^ (15-5)

=3003*0.0147008*0.003620333

=0.1598