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 36.
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 36
.the value of the mean is
μ= peas.
(type an integer or a decimal. do not round.)
the value of the standard deviation is
σ=.
(round to one decimal place as 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 2 peas with green pods a result that is significantly low? why or why not?
the result (is, is not) significantly low, because 2 peas with green pods is (greater than, equal to, less than) peas.
(round to one decimal place as needed.)

a. The value of the mean is

μ=9 peas

The value of the standard deviation is

σ= 2.6 peas

b. Values of 3.8 peas or fewer are significantly low.

Values of 14.2 peas or fewer are significantly low.

c. The result is significantly low, because 2 peas with green pods is less than 3.8 peas.

Step-by-step explanation:

Given : The probability that a pea has green pods : p=0.25

Sample size : n= 36

a) Then, the mean and the standard deviation for the numbers of peas with green pods in the groups of 36 would be :-

Thus , The value of the mean is

μ=9 peas

The value of the standard deviation is

σ= 2.6 peas

b) According to the range rule of thumb :-

Minimum usual value =  μ-2σ

=9-2(2.6) =3.8

⇒Values of 3.8 peas or fewer are significantly low.

Maximum usual value =  μ+2σ

=9+2(2.6) = 14.2

⇒Values of 14.2 peas or fewer are significantly low.

c. Clearly 2 < Minimum usual value (3.8)

⇒The result is significantly low, because 2 peas with green pods is less than 3.8 peas.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d