Question

Suppose 100 customer walk into 100 diferent Walmarts and spend amounts X, X2. X, a K100.

Once again the variables are independitoret Walnarts and spend a the 100 amounts; that 13,

X=
X+X2+ .
. + X100
100
(a) Find Ax.

(b) Find ox.

Answer 1

To find the probability that one customer spends less than $72 in one trip to the supermarket, use the exponential distribution formula. The probability is approximately 0.632.

Step-by-step explanation:

To find the probability that one customer spends less than $72 in one trip to the supermarket, we need to use the exponential distribution formula. The formula for the exponential distribution is P(X < x) = 1 - e^(-λx), where λ is the rate parameter.

In this case, the mean amount is $72, so the rate parameter λ is equal to 1/72. Plugging in the values, we get P(X < 72) = 1 - e^(-1/72 * 72) = 1 - e^(-1) = 1 - 1/e. Therefore, the probability that one customer spends less than $72 in one trip to the supermarket is approximately 0.632.