The growth rate of the green gold cat fish is .

Average length at birth is .

Standard deviation is .

(a)

Find the number of the fish with length less than .

Find the probability for the number of the fish with length less than .

Find .

Let be the random variable for the number of the fish with length less than .

.

Standardize to using -Score formula.

-Score formula is .

where is the fish length less than ,

is the mean and is the standard deviation.

From -score table the probability is .

.

.

Find the number of fish with length less than .

The average number of green gold fish is .

The number of fish less than is

.

Therefore, number of fish with length less than is .

(b)

Find the number of the fish with length greater than .

Find the probability for the number of the fish with length greater than .

Find .

Let be the random variable for the number of the fish with length greater than .

.

Standardize to using -Score formula.

-Score formula is .

where is the fish length greater than ,

is the mean and is the standard deviation.

From -score table the probability is .

.

Find the number of fish with length greater than .

The average number of green gold fish is .

The number of fish greater than is

.

Therefore, number of fish with length greater than is .

(a) Number of fish with length less than is .

(b) Number of fish with length greater than is .