Question

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 38. Complete parts (a) through (c) below. 

a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 38.

b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.

Answer 1

Solution:

Given:

p= probability of pea has green pod = 0.25

n = number of offspring peas selected = 38

Part a) Mean

= n* p

= 38 * 0.25

= 9.5

Standard Deviation

Part b)

Range rule of thumb to find values separating results that are significantly high or low.

If values are outside +/- 2 standard deviation from mean, then that values are significantly high or low.

Thus find:

Significantly Low value =

and

Significantly high value =

Thus

Values of 4.1 peas or fewer are significantly low

and

Values of 14.9 peas or greater are significantly high