Question

The time it takes a student to finish a Statistics test has a uniform distribution between 46 and 73 minutes. What is the probability that he/she finishes within 58.5 minutes. Report your answers in decimals, using 3 values after the decimal point.

Answer 1

Answer: The required probability is 2.167.

Step-by-step explanation:

Since we have given that

It is a uniform distribution between 46 minutes and 73 minutes.

She finishes within 58.5 minutes.

So, the general probability is :

$\dfrac{58.5}{b-a}\\\\here,\\\\a=46\\\\b=73$

So, the probability would be

$\dfrac{58.5}{73-46}=\dfrac{58.5}{27}=2.167$

Hence, the required probability is 2.167.