A packet of vegetable seeds has a germination rate of

Leroy Little

Leroy Little

Answered question

2022-02-09

A packet of vegetable seeds has a germination rate of 96%. What is the probability that exactly 10 of 12 seeds planted will sprout?

Answer & Explanation

indomanihle

indomanihle

Beginner2022-02-10Added 9 answers

We have a binomial distribution if each seed's germination is assumed to be a separate occurrence.
XB(n,p)
where n= number of seeds planted
and p= probability of germination
XB(12,0.96)
P(X=k)=(12k)0.96k0.0412k
P(X=10)=(1210)0.96100.042
P(X=10)=66×0.664832636×0.0016
P(X=10)=0.7020632636
P(X=10)=0.7021 (4dp)

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