5. Fifteen male economists are in a life raft with a maximum carrying capacity of 2850 pounds.The distribution of weights of male economists is normal with a mean of 178 pounds and astandard deviation of 17 pounds.(a) Find the probability that a randomly chosen economist weighs more than 189 pounds.(b) Find the probability that a randomly chosen economist weights between 180 and 190pounds.(c) Find the lower bound of average weight of the economists beyond which the boat will beoverloaded.(d) Find the probability that the average weight of the 15 economists exceeds the lowerbound of average you calculated in part c.

Given Mean =178 Standard deviation =17

Answered: "he distribution of weights of male…

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

Megah corporation gives each of its employees an aptitude test. The scores on test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken. What are the mean and standard deviation values for the sample taken? What is the probability that the average aptitude test score in the sample will be between 70 to 83 marks? What is the probability that the average aptitude test score in the sample will be equal or greater than 83 marks? Find the value of C, if P (Z ≥ C) = 0.015
Ma1.
Suppose that the lengths of human pregnancies are normally distributed with a mean of 267 days and a standard deviation of 16 days. Complete the following statements. (a) Approximately ? of pregnancies have lengths between 219 days and 315 days. (b) Approximately 95% of pregnancies have lengths between I days and days.
8. An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. A Brother brand printer can print an average of 17.21 ppm and a standard deviation of 4 pages and its printer speed is also normally distributed. You select 10 of each printer at random. What is the probability that mean Brother print speed is at least 2 pages faster than the mean HP print speed?
#10 please
Please solve all parts of 8.51
A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 6 6 7 5 6 7 8 9 9 7 6 8 8 8 8 8 8 8 6 6 8 8 7 6 9 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.H0: μ1=μ2=μ3H0: μ1=μ2=μ3H1:H1: At least two of the means differ from each other. For this study, we should use Select an answer 2-PropZTest 2-PropZInt 1-PropZInt 2-SampTInt 1-PropZTest T-Test χ²-Test ANOVA χ²GOF-Test TInterval 2-SampTTest The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is Select an answer less than (or equal to) alpha greater…
in "a" the blank is "z" and "t" distribution
From reviewing the temperature data for one of the regions of Iraq for a period of time, it was found that 15% of the days of the month of July (the number of days is 31) have a maximum temperature of more than 42 degrees Celsius and that 5% of the days of July have a temperature of less than 36 degrees Celsius. If you know that the temperature for the month of July in this region is subject to a normal distribution, then the mean and standard deviation S for this distribution are equal to:
A librarian wants to estimate the average number of book a patron will checkout over a years time. She believes from past studies the standard deviation is20 books per year. If she samples 100 patrons, with what probability can sheassert than the error in her estimate will be less than 5 books per year? (
About 77% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 69%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to The probability that the sample proportion surviving for at least 3 years will be less than 69% is (Round to four decimal places as needed.)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS