iven a normal population whose mean is 580 and whose standard deviation is 77, find each of the following: A. The probability that a random sample of 3 has a mean between 591 and 610. Probability = 0.068 B. The probability that a random sample of 13 has a mean between 591 and 610. Probability = C. The probability that a random sample of 21 has a mean between 591 and 610.

iven a normal population whose mean is 580 and whose standard deviation is 77, find each of the following: A. The probability that a random sample of 3 has a mean between 591 and 610. Probability = 0.068 B. The probability that a random sample of 13 has a mean between 591 and 610. Probability = C. The probability that a random sample of 21 has a mean between 591 and 610.

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...

See similar textbooks

Similar questions

Suppose the mean weight of carryion bags has a normal distribution with a mean of 7.4 pounds, with a standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds. a. .182 b. .629 c. .572 d. None of the other 4 answers e. .818
Suppose that the weights of cats are normally distributed with an unknown mean and a standard deviation of 2.3 lb. A cat that is 11 lb is the highest 10%. Draw a picture and write the function you put in the calculator. a) Find the mean. Round to 1 decimal place. b) Find the probability that a randomly selected cat has a weight of at least 9 lbs. Round to 3 decimal places. c) Find the 37th percentile.
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
1. The test scores of an Engineering Mechanics class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7. a. What percentage of the class has a test score between 68 and 82? b. Approximately how many students have a test score between 61 and 89? c. What is the probability that a student chosen at a random has a test score between 54 and 75? d. Approximately how many students have a test score greater than or equal 96
The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n 38, find the probability of a sample mean being less than 12,750 or greater than 12,753 when u = 12,750 and o = 1.8. For the given sample, the probability of a sample mean being less than 12,750 or greater than 12,753 is. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? O A. The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. O B. The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. OC. The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being within this range. O…
A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available anti-depressant drugs, the probability that any particular drug will be effective for a particular patient is p = 0.15. What is the probability that the patient will need toa. take 5 different drugs until the effective one is found. b. take 10 different drugs until the effective one is found. c. Find the mean c. Find the standard deviation.
2. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. a. If a single egg is selected, find the probability that the mean of the sample will be greater than 220 milligrams. b. If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger 220 milligrams.
The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n= 40, find the probability of a sample mean being less than 12,750 or greater than 12,753 when p= 12,750 and o = 1.6. For the given sample, the probability of a sample mean being less than 12,750 or greater than 12,753 is. (Round to four decimal places as needed.)
All California 5th graders take a standardized test. The mean for the population of 5th graders is 68.9 and the standard deviation for the population is 10. What is the probability of randomly selecting a student who scored a. ≥ 85? b. less than or equal to 85? c. between 80 & 85? d. between 60 & 85?
Suppose exam scores are normally distributed with a mean of 70 and a standard deviation of 6. a. The probability someone recieves less than a 60 on the exam b.The probability someone scores between 70 and 90 c. What grade defines the highest 1.5% of the distribution
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 44 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 44 births. The value of the mean is (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 35 girls a result that is significantly high? What does it…
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 219 if μ=218 and σ=5.6. For a sample of n=65, the probability of a sample mean being greater than 219 if μ=218 and σ=5.6 is