Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.  The standard deviation of the commuting time is 8 minutes. The fraction of commutes that last less than 40 minutes is 0.30 (30%).  What is the mean commuting time? What is the probability that the commuting time would exceed 60 minutes? Below what commuting time 10% of commutes take place? 90% commuting times fall between _______ and _______ minutes.

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Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.  The standard deviation of the commuting time is 8 minutes.

The fraction of commutes that last less than 40 minutes is 0.30 (30%).  What is the mean commuting time?

What is the probability that the commuting time would exceed 60 minutes?

Below what commuting time 10% of commutes take place?

90% commuting times fall between _______ and _______ minutes.

Expert Solution
Step 1

The question is about normal distribution

Given :

Std. deviation of the commute time ( σ ) = 8 minutes

 

To find :

1 ) Mean commute time if fraction of commutes that last less than 40 min. is 0.30

2 ) prob. that the commuting time would exceed 60 min.

3 ) Below what commuting time 10% of commutes take place

4 ) 90% commuting times fall between _______ and _______ minutes.

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