6. If X is a continuous random vriable with expected value 4 and standard deviation 3, what are the expected value andstardard deviation of 3x - 5?EX= 7 and SD = 9

If X is a continuous random vriable with expected value 4 and standard deviation 3.

Answered: 6. If X is a continuous random vriable…

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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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. (a) In words, define the random variable X. Edit Insert Formats BIUX₂ + 2+ 3 = C P & (b) Find the z-score for a trial lasting 19 days. your answer to three decimal places.) Shade: Left of a value (c) If one of the trials is randomly chosen, find the probability that it lasted at least 19 days. +||||||||| (d) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (b), rounded to one decimal place). -1 X² A ▾ A▾ -1.5 用 Σ+ Σ Α 2 Click and drag the arrows to adjust the values. (Round ++++++++++++ 3 4 (e) eighty-eight percent of all trials of this type are completed within how many days?
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suppose the random variable X has a normal distribution with a mean of 10 and a variance of 256 calculate the following: P(12 < x < 20 ) USE DECIMAL VALUES AND ROUND OFF FINAL ANSWER TO TWO DECIMAL PLACES!
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X is a normally distributed variable with mean = 60 and standard deviation = 10 %3D For a randomly selected score from this distribution what is the probability that X is less than 42
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The National Health and Nutrition Examination Survey reported in the recent year, the mean cholesterol level for U.S. adults was 202 with standard deviation of 41 (unit: mg/dl) A simple random sample of 110 adults are chosen. Let x¯ be the sample mean cholesterol with a) The probability that the sample mean cholesterol level of the sample of 110 is greater than 210 is P(x¯>210) = ["", "", "", ""] b) What is the probability that the sample mean is between 190 and 200: P(190<x¯<200) = ["", "", "", ""]
An elevator has a play card stating that the maximum capacity is 1980 pounds 12 passengers so 12 adult male passages can have a mean way of up to 1180÷12 = 165 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. Assume that weights of males are normally distributed with a mean of 172 pounds and a standard deviation of 27 pounds. Does this elevator appear to be safe?
Q4) A capacity of a battery is normally distributed with a mean of 25.2 Kw-hr and standard deviation of 0.1 Kw-hr, find the probability that a selected battery has a capacity more than 25.11 Kw-hr 0.758 O )0.864 O 0.691 O 0.816 O
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6. If X is a continuous random vriable with expected value 4 and standard deviation 3, what are the expected value and stardard deviation of 3x - 5? EX= 7 and SD = 9