12.Thefollowingprobability distribution is givenP(x)0.510.2520.230.05а)b)c)Compute the mean.Compute the variance.theComputedeviation.standardd)Drawtheprobabilityhistogram, comment on itsshape, and label the mean onthe histogram.

List of formulae : i) Mean = ∑xp(x) ii) Variance = ∑(x-mean)2P(x) iii) Standard deviation =…

Answered: 12. The following 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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Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.290 0.240 0.148 0.042 0.016 ..... (a) Find the mean, variance, and standard deviation of the probability distribution.
The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation σ of the random variable. x 1 2 3 P(X=x) 0.4 0.1 0.5
A survey shows the probability of thenumber of automobiles that families in a certain housingplan own. Find the mean, variance, and standard deviationfor the distribution. X 1 2 3 4 5 P(X) 0.27 0.46 0.21 0.05 0.01
Find the mean, variance and standard deviation for the probability distribution given below: X -4 6 8 10 P(X) 0.57 0.111 0.21 0.109 A. Mean = B. Variance = C. Standard Deviation =
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 3 4 5 Probability 0.259 0.293 0.244 0.150 0.037 0.017 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. The mean is , so the average batch of 1000 machine parts has The standard deviation is so the typical number of defects in a batch of 1000 (Round to one decimal place as needed.)
Consider the probability distribution function: X: 1 Probability: 0.2 0.7 0.1 For the above distribution function, the variance of X is O A. 0.54 О В. 0.27 O C. 0.92 O D. 0.29
Consider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 1 0.15 0.45 Find the variance of X and the variance of Y.
1. The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete Parts (a) through (c) below. a.) Compute the mean number of accidents per day using the table below Number of accidents Daily (x) 0-Nm Jha 6 P(X = Xi) 0.26 0.3u 0.19 0.08 0.07 0.04 0.02 # Please use excel to answer question
3. Draw the probability distribution of the function, find the mean, variance, and standard deviation of the profit in the instance below: A store has a monthly sale of P23,540, which deviates by P3,876. Now, the profit is calculated as 28% of the sales subtracted by the operating cost of P,5324.
The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? Le
d.Find the correlation coefficient between x and y. Show your calculations.e.Comment on the direction and the strength of the association between x and yf. Find the mean value of (x– y) and the standard deviation of (x – y). Show your calculations.
Kk.340.

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12. The following probability distribution is given P(x) 0.5 | 0.25 | 0.2 | 0.05 Compute the mean. Compute the variance. 1 2 3 a) b) c) Compute deviation. the standard d) Draw the probability histogram, comment on its shape, and label the mean on the histogram.