CNNBC recently reported that the annual cost of auto insurance is normally distributed with a mean of 975dollars. Assume the standard deviation is 245 dollars. You take a simple random sample of 85 auto insurancepolicies.(a) Find the probability that a single randomly selected policy is less than 970 dollars.Here I will use u =dollars, and o =dollarsPX < 970) =(b) Find the probability that a sample of size n = 85 is randomly selected with a mean less than 970 dollars.Here I will use u =dollars, and Oz =dollarsPM < 970) =Round any probabilities to 4 places after the decimal; dollar amounts should be rounded to nearest penny.

Let X be the random variable from normal distribution with mean (μ) = 970, standard deviation (σ) =…

Answered: CNNBC recently reported that the annual…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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CNNBC recently reported that the mean annual cost of auto insurance is 1026 dollars. Assume the standard deviation is 281 dollars. You take a simple random sample of 55 auto insurance policies. Assuming the original population forms a bell-shaped distribution, answer the following and round your answers to three decimals. Find the probability that a single randomly selected value exceeds 962 dollars. P(X 962) = Find the probability that a sample of size n = 55 is randomly selected with a mean that exceeds 962 dollars. P(M>962) = Get Help: VIDEO
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. -Find the 70th percentile of the distribution of the average of 49 fly balls
Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10. What is the probability of selecting someone from the general population at random who would
A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for U.S. adults was 198 with a standard deviation of 43. A random sample of 110 adults was chosen. What is the probability that the mean cholesterol level is between 193 and 202?
Suppose the weight of watermelons produced in Adana follows the normal distribution with mean 7.2 kg and standard deviation 2.4. Find the proportion of these watermelons that weight heavier than 7.5kg. If we randomly select one of these watermelons, find the probability that its weight will be less than 7kg.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Suppose the mean income of firms in the industry for a year is 2525 million dollars with a standard deviation of 77 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 4040 million dollars? Round your answer to four decimal places.
Suppose the ages of Internet shoppers have a mean of 32 years and a standard deviation of 5 years. If you select a random sample of 100 Internet shoppers, what is the probability that the average age of the sample is 30.9 years or more? (use the concept of sampling distribution of mean and central limit theorem)
Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.7 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.7. Both women's and men's reach from this position is normally distributed. If this design is implemented, (a) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table.
Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.
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