Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table.X120.03 0.08(b) Find the variance of x.34p(x)(a) Find the mean value of x (the mean number of systems sold).56How would you interpret these values?The variance of x is the ---Select---number of systems sold in a month.780.14 0.30 0.30 0.13 0.01 0.01Find the standard deviation of x. (Round your answer to four decimal places.)of the number of systems sold in a month from the mean number of systems sold in a month. The standard deviation of x is the --Select---(c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value?(d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?V of the number of systems sold in a month from the mean

Answered: Image /qna-images/answer/27dd7a73-75f7-43de-bd7c-214365740ea5.jpg

Answered: Suppose that for a particular computer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given X;~ B (10, 0.4) and these are random drawings from some population. The mean and variance of the statistic W = 5X₁ - 2X₂ - 2X3 is: 4.0, 79.2 4.0, 2.4 0.4, 0.24 4.0, 84.2
Suppose that the distribution of the lifetime of a car battery produced by a certain car company is well approximated by a normal distribution with a mean of 1900 hours and variance 104. What is the approximate probability that a batch of 100 car batteries will contain at least 20 whose lifetimes are less than 1801 hours?
Suppose that, at the end of last semester, Marie gave her introductory statistics class a final exam. After grading these exams, she created a histogram illustrating the distribution of exam scores for the 70 students in the class. Each of the bars in this histogram includes only the left endpoint of the interval, except for the bar representing scores between 90 and 100 points, which also includes the right endpoint. What percentage of students scored between 60 and 80 points on the exam? Round your answer to the nearest tenth of a percent. Number of students who scored at least 80 points = students Percentage of students who scored between 60 and 80 points = %
Suppose that a recent article stated that the mean time spent in jail by a first–time convicted burglar is 3.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 45 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.4 years. Suppose that it is somehow known that the population standard deviation is 1.1. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600. If 64 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 4144 grams? Round your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and a mean diameter of 201201 inches. If 8989 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.20.2 inches? Round your answer to four decimal places.
Suppose a batch of steel rods produced at a steel plant have a mean length of 187 milimeters, and a Variance of 64. If 416 rods are sampled at random from the batch, what is the probability that the mean length all the sample rods would differ from the population mean by less than 0.65 millimeters? Round your answer to four decimal places.
The mean points obtained in an aptitude examination is 111 points with a variance of 400. What is the probability that the mean of the sample would be greater than 113.1 points if 79 exams are sampled? Round your answer to four decimal places.
What is the Z score for the X value of 6 in a Distribution of 100 observationswith a Mean of -10 and a Variance of 16?
Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be greater than 3631 grams? Round your answer to four decimal places.
The quality control manager at a company manufacturing company believes that the mean life of a computer is 81 months with a variance of 64. If he is incorrect what is the probability that the mean of a sample of 58 computers would differ from the population mean by less than 2.79 months round your answer to 4 decimal places
Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64. Assume that the grades are independent of each other. What proportion of the class will get a grade of at least 80? 0,5656 0.0401 0.5871 0.9599 0.4129

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