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The probability distribution for the number of adults in groups who reported sleepwalking is provided.

a.

Letx be the number of sleepwalkers in a group of five.

Using the probability distribution table, the probability corresponding to 4 sleepwalkers among 5 adults is 0.027.

Thus, the probability of getting exactly 4 sleepwalkers among 5 adults is 0.027.

b.

Using the probability distribution table, the probability corresponding to 4 sleepwalkers is 0.027.

The probability corresponding 5 sleepwalkers is 0.002.

The probability of getting 4 or more sleepwalkers among 5 adults is computed as:

$$\begin{gathered} P\left(x猢�4\right)=P\left(x=4\right)+P\left(x=5\right) \\ =0.027+0.002 \\ =0.029 \end{gathered}$$

Thus, the probability of getting 4 or more sleepwalkers among 5 adults is 0.029.

c.

The following probability expression is used to determine if the given sample value is significantly high or not:

$P\left(x\text{or}\text{more}\right)猢�0.05$

If the above expression holds true, then the number of successes for that event can be considered significantly high.

Here, part (b) computed the probability of 4 or more sleepwalkers in a sample of 5 adults.

Therefore, the probability computed in part(b) is relevant for concluding whether 4 sleepwalkers is significantly high or not.

d.

Since the probability of 4 or more number of sleepwalkers in a sample of 5 adults is 0.029, which is less than 0.05, thus, the number of sleepwalkers equal to 4 can be considered significantly high.