(a)

Average number of tourists that visit a national monument every month is .

Standard deviation is .

Find the probability that visiting tourists fewer than for a randomly selected month.

The probability is .

Find the corresponding -values for .

.

.

Using -score table:

The area for is .

Probability that visiting tourists fewer than  is .

(b) Sample of months is selected then sample size is .

Standard error of mean is .

Substitute and in the formula.

.

Find the -value for the new standard error of mean.

.

Using -score table:

The area for is .

Probability that visiting tourists fewer than for a sample size of months is .

(a) Probability that visiting tourists fewer than is .

(b) Probability that visiting tourists fewer than for a sample size of months is .