# Question

Elena conducts an experiment in which she ﬁlls up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each ﬁll-

up. A histogram of the miles per gallon indicates that a normal distribution with a mean of 24.6 miles per gallon and a standard deviation of 3.2 miles per gallon could be used to model the gas mileage for her car.

(a) The ﬁgure represents the normal curve with µ = 24.6 miles per gallon and σ = 3.2 miles per gallon. The area under the curve to the right of x = 26 is 0.3309. Provide two interpretations of this area.

(b) The ﬁgure at the top of the next column represents the normal curve with µ = 24.6 miles per gallon and σ = 3.2 miles per gallon. The area under the curve between x = 18 and x = 21 is 0.1107. Provide two interpretations of this area.

up. A histogram of the miles per gallon indicates that a normal distribution with a mean of 24.6 miles per gallon and a standard deviation of 3.2 miles per gallon could be used to model the gas mileage for her car.

(a) The ﬁgure represents the normal curve with µ = 24.6 miles per gallon and σ = 3.2 miles per gallon. The area under the curve to the right of x = 26 is 0.3309. Provide two interpretations of this area.

(b) The ﬁgure at the top of the next column represents the normal curve with µ = 24.6 miles per gallon and σ = 3.2 miles per gallon. The area under the curve between x = 18 and x = 21 is 0.1107. Provide two interpretations of this area.

## Answer to relevant Questions

In the game of golf, distance control is just as important as how far a player hits the ball. Michael went to the driving range with his range ﬁnder and hit 75 golf balls with his pitching wedge and measured the distance ...Determine the area under the standard normal curve that lies to the right of (a) z = -3.49 (b) z = -0.55 (c) z = 2.23 (d) z = 3.45 Find the indicated areas. Be sure to draw a standard normal curve and shade the area that ...Find the value of za . z0.025 Assume that the random variable X is normally distributed, with mean µ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability ...The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. (a) What is the probability that a randomly selected sixth-grade ...Post your question

0