Question

F a seed is planted, it has a 75% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 2 don't grow?

Answer 1

Answer:

0.3

Step-by-step explanation:

Given that:

Probability of growing into a healthy plant = probability of success (p) = 75% = 0.75

Number of seeds planted(n) = 9

Probability that exactly 2 don't grow is equivalent to having 7 that grows (9 - 2) = 7 = r

Using binomial distribution formula :

nCr * p^r * (1 - p)^(n-r)

9C7 * 0.75^7 * (1 - 0.75)^(9 - 7)

9C7 * 0.75^7 * 0.25^2

36 * 0.13348 * 0.0625

= 0.3003387

= 0.3

Hence, probability that exactly 2 don't grow is 0.3