Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm, and the distribution of lengths is approximately normal. what fraction of fish are greater than 41 cm in length?

Mean, mu=44 cm

standard deviation, sigma = 4 cm

X=41

We calculate the Z-value for 41 cm

Z (41) = (41-mu) / sigma = (41-44) / 4=-0.75

The probability that x>X

P (x>X)

=P (x>41)

=1-P (x<41)

=1-0.2266274 (from standard normal distribution tables for left-tail of Z=-0.75)

= 0.7733726