Consider the following table.Defects in batchProbability0.050.182.0.293.0.2440.130.11Find the variance of this variable.O 2.58O 1.35O 1.83O 2.55wm

The following is the formulae for Variance of a random variable 'X'…

Answered: Consider the following table. Defects…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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5. Question from 8.3: Variance and Standard Deviation Find the variance of the probability distribution for the histogram shown. 0.3 0.2 0.1 1 2 3 4 5 X
4. Review the variance function for specific distributions. For Bernoulli, Poisson, Gamma, and Inverse Gaussian, what does the variance function say about our ability to predict the range of possible values? (This may be a little bit challenging; give it your best guess.)
6.36. Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 week is given by the following table: 1 2 3 4 7 8 p(z) 0.05 0.10 0.12 0.30 0.30 0.11 0.01 0.01 a. Find the mean value of æ (the mean number of systems sold). b. Find the variance and standard deviation of æ. How would you interpret these values? 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?
16. Standardized test scores are normally distributed with an average of 500 and a variance of 100. What is the chance that a score is between 485 and 550? A. 0.2511 B. 0.3520 C. 0.6554 D0.9332
Use the following returns for X and Y. Year Returns X Y 1 21.9% 26.7% 2 −16.9 −3.9 3 9.9 28.7 4 19.8 −14.8 5 4.9 32.7 Calculate the average returns for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616. Calculate the standard deviations for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.
The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are nomally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys would be higher than the mean height of the sample of girls 18: O 0 9878 O 0.0062 O 0.9938 0 9972 Let E[X(Y-1)] 10, E[X(Y#1)] 20, V(X) Then E(Y) 8. V(Y) 12 and V(X+Y) 30. O 14/5 12/5 2
Suppose the horses in a large stable have a mean weight of 818 lbs, and a variance of 3481. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 18 lbs if 34 horses are sampled at random from the stable? 0.920 0.925 0.912 O 0.945 None of these t
7.34 Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table: 1 2 3 4 5 6 7 .05 .10 .12 .30 .30 .11 .01 .01 8 p(x) a. Find the mean value of x (the mean number of systems sold). b. Find the variance and standard deviation of x. How would you interpret these values? 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? (Hint: See Example 7.13.)
Which of the following is not one of the assumptions made in the analysis of variance? O A. None of these O B. The different populations all have the same mean. O C. The different populations all have the same standard deviation o O D. The distribution of the response variable is a normal. O E. Each sample is an independent random sample.

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Consider the following table. Defects in batch Probability 0.05 1 0.18 0.29 0.24 4. 0.13 0.11 Find the variance of this variable. O 2.58 O 1.35 O 1.83 O 2.55