The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and standard deviation $1.72. which of the following is closest to the proportion of customer purchase amounts between $14.00 and $16.00 ?

a) 0.19
b) 0.39
c) 0.42
d) 0.61
e) 0.81

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean =

Standard deviation =

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula :

At x = 14

Refer the  z table for p value

P(x<14)=0.1922

At x = 16

Refer the  z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

cheater

step-by-step explanation: