4. A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite.The geologist instructs a laboratory assistant to randomly select 15 of the specimensfor analysis.a. What is the probability mass function of the number of granite specimensselected for analysis?b. What is the probability that all specimens of one of the two types of rock areselected for analysis?c. What is the probability that the number of granite specimens selected foranalysis is within 1 standard deviation of its mean value?

Answered: Image /qna-images/answer/602fbbb0-1ee4-4ce3-945a-4664f137d0b4.jpg

Answered: 4. A geologist has collected 10…

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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Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 78 and 81 mph. d. 60% of all cars travel at least how fast on the freeway? mph.
The number of sales that a car salesperson makes per month is normally distributed with mean 15 and standard deviation 4 . a. Find the probability that a randomly selected car salesperson will sell more than 14 cars this month.b. What is the average number of cars that a group of 25 sales people must sell to be in the 90thpercentile?
a..089 b..086 c..088 d..087
2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2
Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. b. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. c. 84% of all cars travel at least how fast on the freeway? mph.
A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value? d. What is the probability that X = 1.5?
Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: a. 0.0 b. =P(Z>1) c. =P(Z=0) d. =P(Z<1) e. None of the others
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
estions 1. Residents of rural Wisconsin drink an average of 4L of soda per week, with a standard deviation of 1L. What is the probability that a randomly-selected resident of rural Wisconsin drinks 5.5 to 6.8L of soda per week?
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).
Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. d. 84% of all cars travel at least how fast on the freeway? mph.

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