Let Y be a number between 0 and 20 produced by a random number generator. Assuming that the random variable Y has auniform distribution, find the following probabilities (round to ONE decimal place):Find P(Y 2 16)Find P(3

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Answered: Let Y be a number between 0 and 20…

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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An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed. Find P(X=5)= Find P(X≥3)=
A random sample of 3 households is selected. The probabilities that certain number of households have a pet dog are listed. prob. of households with a dog P(x) probability that x households have %3D x (# of households) a dog 0.036 1 0.219 2 0.444 0.301 a) Does this table describe a probability distribution? Give a reason for your answer. Do not simply say yes/no b) What is the mean? Show work Edit View Insert Format Tools Table BIUA e Pv: 12pt v Paragraph v DELL
Let X represent a binomial random variable with n = 200 and p = 0.77. Use Excel’s function options to find the following probabilities. a. P(X ≤ 150) b. P(X > 160) c. P(155 ≤ X ≤ 165) d. P(X = 160)
Consider a discrete random variable X that can assume three values 1, 2, and k with respective probabilities 0.5, 0.25, and 0.3. If E(X) = 1.9, what is the value of k? Select one: а. 5 b. 2 с. 1 d. 3 e. 4
Mike has a deck of standard poker cards with some cards missing. He wants to estimate the probability, p, of drawing a spade. Every day he makes an experiment. At the end of each experiment, he records the maximum likelihood estimator of the probability of observing a spade and places the drawn card back and shuffles the deck. Let X; be a random variable, taking value 1 if the i-th card draw of an experiment results in an even number and 0 if it results in an odd number. Clearly, X, ~ Bernoulli(p). Recall the MLE of a Bernoulli is p MLE The following are the outcomes of 5 experiments, one of which involved 8 card draws, two of which involved 6 card draws and two of which involved 4 card draws. Which experiments lead to the same MLE of p? Select all that apply. O (1 = 0, x2 = 1, r3 = 0, x4 = 0, r; 1, 6 = 0, x7 = 1, Is = 1, xg = 0, r10 = 1, 111 = 0, 112 = 0) O (1 = 1, a2 = 0, r3 = 1, x4 = 1) O ( = 0, x2 = 0, r3 = 0, r4 = 0) O (21 = 0, x2 = 1, £3 = 0, T4 = 0, x5 = 0, x6 = 0, r7 = 1, rg 0)…
If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x < 7) for n = 15, p = 0.8 b. P(x ≥ 13) for n = 20, p = 0.3 c. P(x = 2) for n = 25, p = 0.5
I need help with this:A manufacturer knows that on average 20% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.58; (b) the probability that at least y of them will not require repairs is greater than 0.84.
Suppose X is a binomial random variable characterized by the parameters n = 9 and p = 0.77. Find P( X = 6 ). Round your answer to three (3) decimal places. Your Answer:

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Let Y be a number between 0 and 20 produced by a random number generator. Assuming that the random variable Y has a uniform distribution, find the following probabilities (round to ONE decimal place): Find P(Y 2 16) Find P(3