Question

A population of male university students has a distribution of
weights and heights that follow a bivariate normal distribution. The distribution of weights
it has an average of 72 kg and a standard deviation of 8 kg. The height distribution has an average of 170 cm and deviation
standard 10 cm. The correlation coefficient between weights and heights is 0.8. Using these
information calculate:
a) The probability of a boy's weight being between 70 and 80 kg.
b) The probability that a boy's weight is between 70 and 80 kg since his height is 180
cm.
c) The probability of a boy's height being between 175 and 185 cm.
d) The probability of a boy's height being between 175 and 185 cm given that his weight is 80
kg.

Answer 1