. QUESTION:N independent trials are to be conducted, each with "success" probability p. Let X; = 1 if trial i is asuccess and X; = 0 if it is not. What is the distribution of the random variable X = X1+X2+...+XN?Express Pla < X < b) as a sum (where a

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Answered: N independent trials are to be…

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 the time it takes my daugther, Lizzie, to eat an apple is uniformly distributed between 6 and 10 minutes. Let X = the time, in minutes, it takes Lizzie to eat an apple. What is the probability that it takes Lizzie more than 11 minutes to finish the next apple? What is the probability that it takes Lizzie at least 7.2 minutes to finish the next apple? What is the probability that it takes Lizzie fewer than 6.3 minutes or more than 8 minutes to finish the next apple?
Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal with a mean u= 7500 and a = 1750. A test result of x < 3500 is an indication of leucopenia. This indicates bone marrow depression that may result in a viral infection. a. What is the probability that on a single test x is less than 3500? b. A patient is given 3 tests at regular intervals. What is the probability that the average of the three tests is less than 3500?
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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is hth, then N (hth) = 1. Suppose that the random variable X is defined in terms of N as follows: X=2N² − 6N-1. The values of X are given in the table below. Outcome thh tth hhh hth ttt htt hht tht Value of X-5 -5 -1 -5 -1 -5 -5 -5 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 00 X

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N independent trials are to be conducted, each with "success" probability p. Let X; = 1 if trial i is a success and X; = 0 if it is not. What is the distribution of the random variable X = X1+X2+...+XN? Express Pla < X