Suppose X has a Poisson distribution witha mean of 4. Determine the following probabilities.Round your answers to four decimal places (e.g. 98.7654).(a) P(X = 2) = i(b) P(Xs 2) - i(c) P(X - 4) - i(d) P(X = 8) - i

Given data, X has a poisson distribution with mean 4

Answered: Suppose X has a Poisson distribution…

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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Assume a Poisson distribution. Find the following probabilities. a. Let A = 7.0, find P(X2 2). b. Let = 0.5, find P(Xs 1). c. Let A = 3.0, find P(Xs3). a. When A = 7.0, P(X2 2) = (Round to three decimal places as needed.) b. When 2 = 0.5, P(Xs1) =D (Round to three decimal places as needed.) c. When A = 3.0, P(Xs 3) = %3D (Round to three decimal places as needed.)
Q10. Z-score If Z is standard normal variable use the table of standard normal probabilities to find and draw the diagram. a) P(z2.13)
1. Answer the following questions using the probability tree below: .2 .3 X .3 .8 a Y (a) What is the value of z? (b) What is the probability of X occurring? (c) What is Pr[Xa] (Note: Pr[Xa] = Pr[X and a].) (d) What is Pr[X_or a]? (e) What is Pr[a|X]? (f) What is Pr[c]?
I need help with C and D
5.22 a. Form the probability distribution table for P(x) = , for x = 1,, 2, 3. %3D b. Find the extensions xP(x) and x²P(x) for each x. Find E[xP(x)] and E[x*P(x)]. d. Find the mean for P(x) = , for x = 1, 2, 3. 2 e. Find the variance for P(x) =, for x = 1, 2, 3. 6' f. Find the standard deviation for P(x) = *, for o 62 aluvilidsdon х%3D 1, 2, 3.
Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1
Given Probabilities y = 1 y = 2 x = 1 x = 2 0.2 0.3 0.5 Find: а. Pr(X > Y) %3 b. Pr(Y = 1) =
Q.6. Use the binomial distribution in which n 6 and p = 0.3 to %3D calculate the following probabilities: (a). X is at most 1. (b). X is at least 2. (c). X is more than 5. (d). X is less than 6.
Is the following distribution a probability distribution? (x, P(X)) = (-2,1.23); (-1, 0.15) ; (0, -1.20); (1, 0.52); (2, 0.30) There are five ordered pairs: X values and their probabilities for example P(1) = 0.52. X -2 -1 0 1 2 P(X) 1.23 0.15 –1.20 0.52 0.30
Calculate the relative frequency P(E) using the given information. Six hundred adults are polled, and 480 of them support universal health-care coverage. E is the event that an adult supports universal health-care coverage. HINT [See Example 1.] P(E) = =
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Suppose X has a Poisson distribution with a mean of 4. Determine the following probabilities. Round your answers to four decimal places (e.g. 98.7654). (a) P(X = 2) – i (b) P(Xs 2) - i (c) P(X = 4) - i