If a seed is planted, it has a 90% chance

Jerold

Jerold

Answered question

2021-09-27

If a seed is planted, it has a 90% chance of growing into a healthy plant.
If 7 seeds are planted, what is the probability that exactly 2 don't grow?

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-09-28Added 107 answers

Step 1
The Binomial probability distribution is:
P(X=x)=(nx)(p)x(1p)nx
In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.
Let x be the number of seeds don't grow which follows binomial distribution with sample size 7, and probability of success 10%(=100%90%). That is, n=7,p=0.10.
Step 2
The probability that exactly 2 don't grow is,
P(X=2)=(72)(0.10)2(10.10)72
=21×0.01×0.59049
=0.1240
Thus, the probability that exactly 2 don't grow is 0.1240.

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