If a seed is planted, it has a 80% chance

ringearV

ringearV

Answered question

2021-09-15

If a seed is planted, it has a 80% chance of growing into a healthy plant.
If 7 seeds are planted, what is the probability that exactly 3 don't grow?

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-16Added 92 answers

Step 1
For this case, there are two possible outcomes for each trial, classified as success (Do not grow), or as a failure (grow) and there is a fixed number of trials. Hence, this condition is met to use the binomial model.
The probability of not growing the plant is =10.80=.20
The binomial probability is,
P(X)=n!X!(nX)!pX(1p)nX
The required probability can be calculated as:
P(3)=7!3!(73)!0.203(10.20)73
P(3)=0.114688
Step 2
Hence,
Peq0.1147

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