Each member of a large genetics class grows 12 pea plants fr

Each member of a large genetics class grows 12 pea plants from an independent pea family. Each family is expected to have 3/4 plants with smooth peas, and 1/4 plants with wrinkled peas.

A) On average, how many wrinkled pea plants will a student see in her 12 plants?

B) What is the Standard Deviation of the proportion of wrinkled pea plants per student

C) What is the variance of the proportion of wrinkled pea plants per student?

Solution

a)
Mean ( np ) = 12 * 1/4 = 3
He could see 3 wrinkled pea plants on a average
b)
Standard Deviation ( npq )= 12*0.25*0.75 = 1.5
c)
Variance ( npq )= 12*0.25*0.75 = 2.25