The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 8 minutes. What is the probability that a car can complete the transaction in less than 5 minutes

The probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.

Step-by-step explanation:

Let X = times required by drivers to fill their car's tank and pay.

The average time required by drivers is, β = 8 minutes.

The random variable X is Exponentially distributed with parameter, .

The probability distribution function of exponential distribution is:

Compute the probability that a car driver can complete the transaction in less than 5 minutes as follows:

Thus, the probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

-4

step-by-step explanation:

do 6-10=

if u need it to be negative.