91影视

It is given that a group of 16 peas is examined. The probability of a pea with green pods is equal to 0.75.

a.

Here, the probability of a pea with a green pod is given to be equal to p=0.75.

The probability of a pea with any other colored pod is computed below:

$$\begin{gathered} q=1-p \\ =1-0.75 \\ =0.25 \end{gathered}$$

The number of trials (n) is equal to 16.

Thus, the mean value is given as follows:

$$\begin{gathered} 渭=np \\ =\left(16\right)\left(0.75\right) \\ =12.0 \end{gathered}$$

Therefore, the mean number of peas with green pods is equal to 12.0.

The standard deviation is computed below:

$$\begin{gathered} 蟽=\sqrt{npq} \\ =\sqrt{\left(16\right)\left(0.75\right)\left(0.25\right)} \\ =1.7 \end{gathered}$$

Therefore, the standard deviation of the number of peas with green pods is equal to 1.7.

b.

By using the range rule of thumb, the significantly low number of peas with green pods is computed below:

$$\begin{gathered} 渭-2蟽=12.0-\left(2\right)\left(1.7\right) \\ =8.6 \end{gathered}$$

Thus, the significantly low number of peas with green pods is8.6 or less.

The significantly high number of peas with green pods is computed below:

$$\begin{gathered} 渭+2蟽=12.0+\left(2\right)\left(1.7\right) \\ =15.4 \end{gathered}$$

Thus, the significantly high number of peas with green pods is15.4 or more.

Moreover, the values that are not significant will lie between 8.6and 15.4.

c.

Here, the value of 7 is less than 8.6.

Therefore, the value of 7 peas with green pods can be considered significantly low as it is less than 8.6.