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 32 Complete parts (a) through (e) below a. Find the mean and the standard deviation for the numbers of peas with green pods in the gallups of The value of the mean isu peas. (Type an integer or a decimal. Do not round) The value of the standard deviation is s p eas. (Round to one decimal places needed) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 1 peas with green pods a result that is significantly low? Why or why not? The result significantly low, because 1 peas with green pods is peas. (Round to one decimal place as needed.)

Answer 1

(a)

mean = $\mu$ = np = 32 X 0.25 = 8

standard deviation =

0 = npq = 32 x 0.25 X 0.75 = 2.45

(b)

Hi - 20 = 8 - (2 x 2.4495) = 8 – 4.8990 = 3.1

Values of 3.1 peas or fewer are significantly low.

u + 20 = 8+ (2 x 2.4495) = 8 + 4.8990 = 12.9

Values of 12.9 peas or greater are significantly high.

(c)

The result is significantly low because 1 peas with green pods is less than 3.1 peas.