4.111 Work with a transformation. Here is aprobability distribution for a random variable X:lls balls.Value of XTProbability30.47T0.62011(a) Find the mean and the standard deviation of thisdistribution.80 21000ried to thod isdı 29ilqıni zniT(b) Let Y = 4X - 2. Use the rules for means andvariances to find the mean and the standard deviation ofthe distribution of Y.(c) For part (b), give the rules that you used to find youranswer.

Answered: Image /qna-images/answer/e75e3cae-acce-45f5-b45e-453441fe39f1.jpg

Answered: 4.111 Work with a transformation.…

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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K 1 Use the fact that the mean of a geometric distribution is μ =- and the variance is o р = (a) The mean is (Type an integer or a decimal.) 9 2 Р 1 1000 A daily number lottery chooses three balls numbered 0 to 9. The probability of winning the lottery is winning the first time. (a) Find the mean, variance, and standard deviation. (b) How many times would you expect to have to play the lottery before winning? It costs $1 to play and winners are paid $900. Would you expect to make or lose money playing this lottery? Explain. Let x be the number of times you play the lottery before 57
K An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. we this O Bi 40 6 View an example Y a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator? H a. The probability that 1 randomly selected adult male has a weight greater than 146 lb ist (Round to four decimal places as needed.) & 4- 7 U Get more help. J 00 이 8 - 144 ( K 9 O ► 11 L O. AA P Clear all { [ + Check answer 59°F Mostly cloudy prt sc 4 1 backspace Incorrect: 0 Actate Windows ot Settings to activate Windows. A home num 00 lock 4) (?) H 11:59 AM 10/14/2022 end 7 home 1 星

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Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs Probability 1 3 4 0.649 0.222 0.088 0.022 0.014 0.006 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. u= (Round to one decimal place as needed.) Find the variance of the probability distribution. o = ' (Round to one decimal place as needed ) Find the standard deviation of the probability distribution. (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation O A. A household on average has 0.5 dog with a standard deviation of 11 dogs. O B. A household on average has 0.6 dog with a standard deviation of 0.9 dog. C. A household on average has 0.8 dog with a standard deviation of 0.9 dog. O D. A household on average has 0.9 dog with a standard deviation of 0.5 dog.
The frequency distribution shown here illustrates the number of medical tests conducted on 37 randomly selected emergency patients. Number of tests performed Number of patients 12 1 2 2 3 5 4 or more 9 Send data to Excel If a patient is selected at random, find the probability for the following. Enter your answers as fractions or as decimals rounded to 3 decimal places. Part: 0/ 3 Part 1 of 3 P(patient has had exactly 2 tests done)
The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.
solve #2
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Solve for D
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I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…

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