The random variable X follows a Poisson process with the given mean. Assuming u = 4, compute the following.(a) P(4)(b) P(X<4)(c) P(X2 4)(d) P(4SXS7)(a) P(4)(Do not round until the final answer. Then round to four decimal places as needed.)

Comments: As per our guidelines we can answer only three subparts rest can be reposted. Solution:…

Answered: The random variable X follows a Poisson…

The random variable X follows a Poisson process with the given mean. Assuming u= 4, compute the following. (a) P(4) (b) P(X<4) (c) P(X24) (d) P(4

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A random variable X is defined by X =- 2 = 3 with a prob. of 113 with a prob. of 1/2 with a prob. of…

A: Given, X -2 3 1 P(X) 1/3 1/2 1/6

Q: Given that the random variable X has mean u = 100 and SD o = 14, find the mean and SD of each of the…

A: Given that mean =100 ,s.d =14

Q: (b) Let a discrete random variable X have the following PMF: p(x) = k (=) , for x = 1,2, . ..; 0,…

A: Basic probability

Q: The number of clients standing in line at (any) counter in front of you follows a random variable…

A: Number of clients in line at any counter is a random variable that follows Poisson distribution with…

Q: The Bank of Canada is interested in studying the relationship between mortgage rates and median home…

A: Given information: Year Interest rate (%) Median home price 1988 10.3 183,800 1989 10.3…

Q: i.i.d Assuming a previous random sample X₁,..., X₁ ~ Bernoulli (p). Set MOE=Eo for a 100(1-a)% Cl…

A: The question is about sample size estimation.Given :Margin of error ( MOE ) = E0

Q: The hits to a Web site occur at the rate of 12 per minute between 7:00 P.M. and 11:00 P.M. The…

A: Solution: The random variable X is defined as the number of hits to the Web site between 7.13 P.M.…

Q: 4.2 The probability distribution of the discrete ran- dom variable X is

A: From the given probability distribution, The sample size is 3. That is, n=3 p=1/4 Mean=n*p…

Q: Suppose the probability that Jimmy gets a hit on a given at-bat is 1⁄4. Let X denote the number of…

A: In this case, each of the at-bats has the only option of being "a hit" (defined as success) or "not…

Q: Given that X is a random variable having a Poisson(A) distribution, compute the following: (a) P(X-…

Q: Suppose f(x), the pmf for a discrete random variable X is given in the table below: 10 15 f (x) |…

Q: Suppose x is a random variable best described by a uniform probability distribution with c= 15 and d…

A: Given: X is a random variable best described by Uniform probability distribution with c= 15 and…

Q: The mean of a discrete random variable x. Select one: O a. is none of these b. is correctly…

A: The mean of a discrete random variable is customarily denoted by μ.

Q: Suppose a random variable X is claimed to have the cumulative distribution func- tion (CDF) F(r) =…

A: Given cumulative distribution function (CDF) F(x)=xx+1…

Q: Q3 – The random variable x has the following discrete probability distributio: 1 3 4 p(x) 0.05 0.25…

Q: Let x be a Poisson random variable with mean = 6. Find the probabilities for x using the Poisson…

A: The variable x be a Poisson random variable with mean .

Q: If x is approximately Poisson, compute ( P(X=2), Px=10, pX=0, pX=0.5. If the mean = 3

Q: probability Find the mean of x. vailable is P(x) = (3Cx)(¹/4)*(3/4)³* for x = 0,1,2,3

A: It is given that the probability distribution of discrete random variable X follows Binomial…

Q: The waiting time T between successive occurrences of an event E in a discrete-time renewal process…

Q: Ex. 2. A random variable X is exponentially distributed with the deviance 1/4. Compute the…

Q: The random variable Y has a Poisson distribution and is such that p(0) = p(1). What is p(5)?…

Q: Suppose a random variable has a CDF given by Fx(x) = (1-e-x)u(x). Find the following quantities: (a)…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

Q: Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310…

A: We have given that They randomly surveyed 450 drivers and found that 310 claimed they always buckle…

Q: Let x be a Poisson random variable with μ = 6.5. Find the probabilities for x using the Poisson…

Q: X p(x) 0 0.5 1 0.3 2 0.2

A: Let X be the Random variable having probability mass function is, X 0 1 2 P(X) 0.5 0.3 0.2…

Q: Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X=…

Q: (a) P(4) (b) P(X<4) (c) P(X24) (d) P(3<Xs7) (e) Hx and ox (a) P(4) = (Do not round until the final…

Q: Consider t, a random variable distributed according to the t distribution with 10 degrees of…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Given that X is a random variable having a Poisson(A) distribution, compute the following: (a) Р(X —…

A: We have to find given probability.

Q: Let X; be independent Uniform(-7,7) random variables, for i=1, 2, ..., 7. Let Y=X₁+X₂+...+X7. (b)…

Q: 1 In class, the definition of the sample variance was Li=1 n-1 31(x; - x)². Show that 1 this is…

Q: Q2 Suppose Y is a discrete random variable such that P(Y= y) = K(1-a)-1,0 < a <1 for y = 1,2,... co.…

A: P(Y=y)=k(1-a)y-1 ; y=1,2,...

Q: Let X1 and X2 be independent and identical normal random variables with common mean 3 and standard…

Q: Q. 3 For a Poisson random variable X with parameter a = 2, compute the following probabilities. (a)…

Q: The random variable X has the distribution shown in the table to the right. P(X = x) (a) Find P(X =…

Q: i. Calculate the size of the test. ii. Calculate the power of the test.

A: It is given that X follows Binomial(n = 6, p = π), then the probability function of X is P(X = x) =…

Q: Q2. Let X be a random variable with (a) Find E(X) (b) Find M(t). (0.42 f(x)=0.46 0.12 if x=0 if x =…

A: The random variable X f(x)=0.42 If x=0 0.46 If x=1 0.12 If…

Q: If a random variable follows a Poisson distribution and if: 4P(x=0)=P(x=1), then find E(x² ) Select…

A: For a poisson distribution EX2=λ2+λ

Q: Suppose that X is a random variable for which the m.g.f. is as follows: M(t) = 1/4(3et+e-t), -∞<t<∞…

A: We can get the mean and variance after finding the first and second derivative of mgf at t= 0

Q: (a) find f(x) (b) Calculate E[X] and V[X]

A: Answer:- Total children = 12 boys+4 girls=16 So, the rank of second boy i.e x can be 2 or 3 or 4 or…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

The random variable X follows a Poisson process with the given mean. Assuming u = 4, compute the following.
(a) P(4)
(b) P(X<4)
(c) P(X2 4)
(d) P(4SXS7)
(a) P(4)
(Do not round until the final answer. Then round to four decimal places as needed.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Let Y be a discrete random variable with generating function 4 Gy (s) 6 – s s2 What is Var(Y) (in decimal)? Answer:
Suppose (S, P) is a binomial distribution with n trials and probability of success p. Let X be the random variable X(k) = k³, where k is the number of successes. Calculate E[X].
A random variable has poisson distribution such that P (X = 3) = P (X= 4). Find p (6).
For E (0,1) let Xp be a Geometric random variable with parameter p. (a) Find a value of p so that P(Xp> 2.5) = 9. (b) Let An be the event that Xp is even. Determine P(A,) in terms of p. (c) Suppose Y, is a random variable which is equal to the remainder after integer division of X, by 3. Let p = i, and determine the conditional probability mass function of conditioned on the event Yı = 1.
O1: Let x be random variable with the following (p.d.f): SC e-* x20 f (x) = 0.W Find: 1. The constant C? 2. The c.d.f? 3. P(1
Prove two formulas for sample variance are equivalent. i.e. Σ(x - 7) _Σ – (Στ) η η-1 n-1
Let X be the random variable with PMF: p(x) = k(]x – 2|+ 1), for x= -2, -1, 0, 1, 2 0, elsewhere (a) Find the value of k (b)Find the PMF of X (c) Find the mean, variance, and the standard deviation of X
Let X1, X2......,X100 be independent binomial random variables with parameter p=0.25. The sample mean is : (First image) a. Find the value of E(X) and Var(X). b. State the sampling distribution of X and explain why has the sampling distribution stated. c. Find P(X<25.5). d. Find (second image)
The maintenance department in a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution with a mean of 2 breakdowns every 428 hours. Let x denote the time (in hours) between successive breakdowns. (a) Find λ and Ux. (Write the fraction in reduced form.) ux = f(x) = 214 (b) Write the formula for the exponential probability curve of x. P(x <4) ✔ Answer is complete and correct. 1 P(115
Event A is my wife cooking dinner tonight. It has been determined that P(A) = 0.15. What is P(not A)?
A random variable T follows Exponential distribution. Which of the following expression shows the Memoryless property of Exponential Distribution (choose the most appropriate answer): a). P(T > t + s| T < s) = P(T > t) b). P(T < t + s| T > s) = P(T < t) c). P(T < t + s| T > s) = P(T < s) d). Both a) and b)
Assume that McDonalds can serve a customer's order in X minutes after the customer enters the fast food chain. The PDF of the random variable X is shown as: 0.1 10 Moreover, assume that the customer can finish the food Y minutes after it is served, independent of the serving time. The PDF of the random variable Y is shown as: i. ii. |fx(x) 0.1 fy(y) fy(y) = 0.1e-0.1y 50 Let Z = X + Y be the total amount of time that the customer stays inside the fast food chain. 15 20 What is the probability that the customer stays within McDonalds for at most 18 minutes, i.e. P(Z < 18)? What is the expected value (in minutes) that the customer stays within the fast food chain?