This question is similar to Exercise 7 on page 227 and Exercises 15 and 16 on page 231 of your textbook.Consider the following discrete probability distribution.XP(x)10.120.430.350.180.1 d. Construct a cumulative probability distribution.e. Compute E(X), the expected value of x. Show your work with a table similar to the one on page62 of the course packet or page 230 of the textbook. You can enter the numbers in Excel anduse Excel to construct a table.f.Compute o² (the variance of x) and (the standard deviation of x). Show your work with atable. Your answer in parts e and f can be in one table.

Given data: x 1 2 3 5 8 P(x) 0.1 0.4 0.3 0.1 0.1

Answered: d. Construct a cumulative probability…

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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Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At α=0.01, is there enough evidence to support thescientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse 1 2 3 4 5 6 Weight (before) 23.3 20.9 22.3 21.3 20.9 20.7 Weight (after) 23.2 21.0 22.2 21.3 20.7 20.7 (a) Identify the claim and state H0 and Ha. What is the claim? A. Weight gain causes pneumonia in mice. B. Pneumonia causes weight loss in mice. Your answer is correct. C. Weight loss causes pneumonia in mice. D. Pneumonia causes weight gain in mice. Let μd be the hypothesized mean of the difference in the weights (before−after). What are H0 and Ha? A. H0: μd≤0 Ha: μd>0 Your answer is…
In order to use the defining formula for variance, we must calculate (x − x)2 for each data value in the data set 14, 18, 22, 26, 33. Use the values in the data set and the mean x = 22.6 to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16
Q1.2 Mean of X A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. X = # of drinks per day Probability Save Answer Q1.3 Variance of X X = # of drinks per day Probability 0 0.38 Find the mean for this random variable, that is find ux. Show your work in the space below. Save Answer A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. 0 0.38 Q1.4 Standard Deviation of X X = # of drinks per day Probability 1 0.32 0 0.38 1 0.32 2 0.25 Find the variance for this random variable, that is find (ox)². Only show the first and last term of the work required. 1 2 0.25 A medical practice collects data on its patients with respect to several personal habits. The following table…
Consider the bivariate distribution for the random variables x and y. The correlation coefficient of x and y is the covariance a. Consider the bivariate distribution for the random variables x and y. The correlation coefficient of x and y is the covariance b. multiplied by the product of the standard deviations for x and y. c. multiplied by the standard deviation of y and divided by the standard deviation of x. d. multiplied by the standard deviation of x and divided by the standard deviation of y.
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. x 1 p(x) 2 3 4 5 0.06 0.10 (a) Find the mean value of x (the mean number of systems sold). 0.11 0.30 6 7 8 0.29 0.12 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (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?

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