Answer:
0.0668 or 6.68%
Step-by-step explanation:
Mean time (μ)= 46 minutes
Standard deviation (σ) = 6 minutes
The z-score for any given time X is determined by:

For X = 37:

A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is

The probability is 0.0668 or 6.68%
Answer: t= 13.4
Step-by-step explanation:
The given equation is 
To solve this equation for 't', we first divide both sides by
, we get

Taking log on both the sides, we get

Since 
Then,

Hence, the value of t is 13.4.