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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(CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks. Weekly hours worked 5 15 20 25 Find the mean of this variable. 17.50 16.80 12.20 18.95 Probability 0.06 0.61 0.18 0.15
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.)
Compute the probabilities for each random varlable x. (decimal form: hundredlhs) L Given the variable x and the frequency of Its occurrence P(X) f. 3 1. 2. 10 15 26 3. 20 10 4. 25 2. 5.
If A and Bare events with P(A) 0.6, P(A OR B) 0.98, P(A AND B) 0.02, find F(B). Provide your answer below: .4 9 FEEDBACK
Suppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative distribution function of the Standard Normal distribution. Then using the Normal approximation, the probability P(X = 16) is obtained by O a. F(2.17) - F(1.83) O b. F(1.83) - F(2.17) O c. F(16.5) + F(15.5) O d. F(17.0) - F(15.0)
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]?
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.
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
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
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
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.
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