Answer:
The probability that a randomly selected August day has a high temperature that exceeded 72 is = 0.518
Step-by-step explanation:
Temperature interval for month of august = 67 to 94
Probability density function
[tex]f (x) = \frac{1}{94-67}[/tex]
f (x) = 0.037 Range 67 < x < 94
the probability that a randomly selected August day has a high temperature that exceeded 72 is calculated by multiplying the range with Probability density function .
Range = 86 - 72 = 14 & f (x) = 0.037
Thus Probability
P ( 72<x<86 ) = 14 × 0.037
P ( 72<x<86 ) = 0.518
This is the probability that a randomly selected August day has a high temperature that exceeded 72.
