Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is

The probability that X is less than 32 minutes is



Therefore, the probability that X is less than 32 minutes is 0.736.
Answer:
1 day = 1440min
so 36min of a day = 36/1440 = 1/40
3 (3 + x) = 5x - 25
9 + 3x = 5x - 25
Add 25 to each side
34 + 3x = 5x
Subtract 3x from each side
34 = 2x
Divide each side by 2
17 = x