Question

**URGENT**

1. Suppose that the motorists in the southeastern United States use a mean of 8.2 gallons of gasoline per week with a standard deviation of 0.47 gallons. Assume that the gasoline consumption levels are approximately normally distributed.

What is the probability that the drives use no more than 7.0 gallons of gasoline per week?

(show sketch in your answer)

Answer 1

Solution :

Given that ,

mean = = 8.2

standard deviation = = 0.47

P(x 7.0)

= P[(x - ) / (7.0 - 8.2) / 0.47]

= P(z -2.5532)

= 0.0053

Probability = 0.0053