A seed has a 40% probability of growing into a healthy plant. 5 seeds are planted. Round answers to no fewer than two decimal places.

Question

What is the probability that any 1 plant grows?

What is the probability that the number of plants that grow is exactly 1?

What is the expected number of plants that grow successfully?

What is the standard deviation of this distribution? 

Answer 1

5 seeds, probability a seed grows is 40% probability a seed doesn't grow = 60%=.6

probability at least one grows = 1-P(none grows) = 1-(.6)^5 = 1 - .07776 = .92224 = 92.224%

probability exactly one grows =

expected number that grow = np = 5(.4) = 2

standard deviation = sqr(npq) = sqr(2(.6)) = sqr1.2 =about 1.095 = about 1.1