A thief steals stereo systems from the parked cars. Everymorning he starts searching parked cars, until he gets acar with stereo system. Then he steals the stereo systemand calls it a day. The probability that a parked car has astereo system is 'p' and it is treated as success, theprobability distribution of failures before getting a stereosystem for 100 days as follows. Fit a geometricdistribution for the following data.No. of failures (x) 0No. of days (f)1 2120 48 20 7 33 4 5 611

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Answered: A thief steals stereo systems from the…

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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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
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 510 and a standard deviation of 175. The grading process of this year's exam has just begun. The mean score of the 40 exams graded so far is 530. What is the probability that a sample of 40 exams will have a mean score of 530 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. 0 S
Suppose that X follows a binomial distribution with a mean that equals 4. If the range of X is known to be 10, what is the probability that X is either 2 or 4 ?
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 500 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35exams graded so far is 512. What is the probability that a sample of 35 exams will have a mean score of 512 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this years exam has just begun. The average score of the 40 exams graded so far is 490. What is the probability that a sample of 40 exams will have a mean score of 490 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.
Does playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. a. Define the parameter we are testing and setup a hypothesis test to see if the mean IQ of children who listened to Mozart at least 45 minutes a day during pregnancy is higher than the national mean of 100: b. Calculate the test statistics for this…
Suppose that the duration of a particular type of criminal trial is known to have a mean of 18 days and a standard deviation of 6 days. We randomly sample 9 trials.Give the distribution of ΣX.Find the probability that the total length of the 9 trials is more than 188 days. 70 percent of the total of 9 of these types of trials will last more than how long? (Round your answer to two decimal places.)days
The annual rainfall (in inches) in a certain region is normally distributed with mean = 40 and o=4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? What assumption are you making?

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