10. Expected value Find the expected value of each random variable:b.P(X= z)XChapter 14: ExercisesP(X = x)1000.100.2200C0.210.43000.520.44000.2TD -

Expected value of X=E(X)=∑X.P(X)

Answered: 10. Expected value Find the expected…

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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A small electronic device is designed to emit a timing signal of 200.0 milliseconds (ms) duration. This device is specified as 201.0 + 10.0. In the production of this device, subgroups of six units are taken at periodic intervals and tested. Xbar and R are calculated for each subgroup and used to plot control charts. The results of inspection of 25 subgroups, ΣX = 5,000.00 and ΣR = 277.00. Assuming the process is control and that variation in the product follows a normal distribution, what proportion of defective product is being made?
Let x be a random variable with the following probability distribution 2 5 P(x) 0.3 0.2 0.3 k 0.1 Find the expected value and the standard deviation for x. Select one: O a. 2.7 and 2.1 O b. 2.5 and 3.2 O c. 2.7 and 3.2 O d. 2.8 and 2.1
a Construct probability distribution for the random experiment of the difference between the results of two fair dice rolled together. Let X be the random variable for the distribution Use the probability distribution to determine the following i. ii. P(0 S X 5 5) iv. P(X 0) V. P(X > 2|X < 6)
For a large population of people, the probability distribution for the random variable X = the number of meals a person ate yesterday and the assigned probabilities is given below: Meals, X Probability (a) Find P(X= 5), the probability that a randomly selected person ate 5 meals yesterday. P(X= 5) = 1 3 4 5 0.17 0.35 0.24 0.17 ? (b) Find P(X ≤ 2), the probability that a randomly selected person ate 2 or fewer meals yesterday. P(X ≤ 2) = (c) Find the probability that a randomly selected person ate 1 meal or ate 5 meals yesterday. P = (d) Find P(X > 1), the probability that a randomly selected person ate more than 1 meal yesterday. P(X > 1) =
The discrete random variable X has the probability distribution given by: 1 2 3 4 P(X: 3v 2v V 0.4 a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? Answer in exact fraction or exact decimals c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the expectation of the random variable Y, where Y = 3X – 2 Answer in exact fraction or exact decimals
The probability distribution of the number of students absent on Mondays, is as follows: X O 1 2 3 4567 f(x) 0.02 0.03 0.26 0.34 0.22 0.08 0.04 0.01 (a) What is the probability that more than 3 students are absent. (b) Compute the expected value of the random variable X. Interpret this expected value. (c) Compute the variance and standard deviation of the random variable X. (d) Compute the expected value and variance of Y : (e) Compute the covariance Cov(X, Y) = 7X+ 3. (f) What is the value of the ratio Cov(X,Y)/Var(X) ? (g) What is the value of Cov(X, Y)/Var(X) for Y = ß0 + ß₁X ? (For this exrcise, you can use excel. No need to show all calculations, just specify the formulas and present the final values.) (a) (b) (c) (d) (e) (f) (g)
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Practice Exercise Determine if the random variable X or Y is discrete or continuous. 1. X = number of points scored in the last season by a randomly selected basketball player in the PBA 2. Y = the height in centimeter of a randomly selected student inside the library 3. X = number of birds in a nest 4. Y = the weights in kg of randomly selected dancers after taking up aerobics 5. Z = the hourly temperatures last Sunday
pls solve bcd Find the expected value of each random variable: a. x 10 20 30 P(X=x) 0.3 0.5 0.2 b. x 2 3 4 5 P(X=x) 0.3 0.4 0.2 0.1 c) Find the standard deviation of the random variables in part(a).d) Find the standard deviation of the random variables in part(b

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10. Expected value Find the expected value of each random variable: a. b. X P(X=x) X P(X = x) 100 0.1 0 0.2 200 0.2 0.4 300 0.5 2 0.4 400 0.2