Question

If a seed is planted, it has a 60% chance of growing into a healthy plant.

If 10 seeds are planted, what is the probability that exactly 2 don't grow?

Answer 1

Answer:-

Given that:-

If a seed is planted, it has a 60% chance of growing into a healthy plant.

If 10 seeds are planted, what is the probability that exactly 2 don't grow?

Let the number of seeds which grow into a healthy plant out of those 10 seeds be represented by a random variable X.

Where n=10 , the number of seeds planted .and  

Then,p=0.6 which is the probability of a seed to grow into a healthy plant.

Now probability that exactly 2 dont grow up = probability that exactly (10-2) = 8 grows up we will use the binomial probability formula to find the above probability :

Therefore,

Therefore 0.1209 is the required probability.