In a certain population the lengths of individuals are distr

In a certain population the lengths of individuals are distributes as indicated by the density curve shown here. Areas under the curve are shown in the figure. Consider the length of an individual trypanosome chosen at random from the population. Find

b.) Pr{ length > 15}

c.) Pr{15 <length < 30}

Solution

Sol)

a) Pr{ length < 25}

from above diagram

Pr{ length < 25}= 0.41+0.34+0.01 =0.76

b)

Pr{ length > 15} = 0.34+0.41+0.21+0.03

Pr{ length > 15} = 0.99

c.)

Pr{15 <length < 30} =0.34+0.41+0.21

Pr{15 <length < 30} =0.96