Answer:
The probability that it will take less than 80 minutes
P(X≤80) = 0.0768
Step-by-step explanation:
Step(i):-
Given mean of the Population = 92 minutes
Given standard deviation of the Population = 8 minutes
Let 'X' be the random variable in normal distribution
Let 'X' = 80 minutes
[tex]Z = \frac{x-mean}{S.D} = \frac{80 - 92}{8} = -1.5[/tex]
Step(ii):-
The probability that it will take less than 80 minutes
P(X≤80) = P(Z≤-1.5)
= 0.5 - A(1.5)
= 0.5 - 0.4232
=0.0768
Final answer:-
The probability that it will take less than 80 minutes
P(X≤80) = 0.0768
