Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between −2.07 and 3.98 and draw a sketch of the region. What is the probabilty?

The height of an 8th grader is modeled using the normal distribution shown below. The mean of the distribution is 60.6 in and the standard deviation is 0.9 in. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) v 58 U 60 V 62 W 64 Height (in inches) 0-4 V = Continue Submit Assignment 96 O 2021 McGraw-Hill Education. All Rights Reserverd ...

Please do a, e, and f only

A car company says that the mean gas mileage for its luxury sedan is at least 20 miles per gallon​ (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 18 mpg and a standard deviation of 2 mpg. At α=0.10​, test the​ company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. LOADING... Click here to view page 1 of the normal table. LOADING... Click here to view page 2 of the normal table. LOADING...       Question content area bottom Part 1 Which sampling distribution should be used and​ why?     A. Use a​ t-sampling distribution because the population is​ normal, and σ is unknown. Your answer is correct.   B. Use a normal sampling distribution because the population is​ normal, and σ is known.   C. Use a​ t-sampling distribution because n<30.   D. Use a normal sampling distribution because n>30.   E. Use a normal sampling distribution…