Question

the receptionist at a doctors office kept track of each patients wait time. doctors office wait times (minutes) 69 77 77 77 77 85 85 85 100 100 x is the time that a randomly chosen person waited for. what is the expected value of x? write your answer as a decimal.

Explanation:

Step1: Calculate the sum of all wait - times

$69 + 4\times77+3\times85 + 2\times100=69+308 + 255+200 = 832$

Step2: Calculate the total number of patients

$1 + 4+3 + 2=10$

Step3: Calculate the expected value

The expected value $E(X)=\frac{832}{10}=83.2$

Answer:

$83.2$