High temperatures in a certain city for the month of August follow a uniform distribution over the interval LaTeX: 61^{\circ}F61 ∘ Fto LaTeX: 91^{\circ}F91 ∘ F. Find the high temperature which 90% of the August days exceed.

The required probability for the high temperature which 90% of the August days exceed. is 0.0333

Step-by-step explanation:

High temperatures in a certain city for the month of August follow a uniform distribution over the interval 61° F  to 91° F   . Find the high temperature which 90°  F of the August days exceed.

Let assume that X is the random variable

The probability mass function is:

Thus; The probability density function of X can be illustrated as :

      61 <  x < 91  or otherwise

The required probability for the high temperature at 90°  F can be calculated as follows:

The required probability for the high temperature which 90% of the August days exceed. is 0.0333

she drove 134 miles

step-by-step explanation: