Question

Find the probability P(X; λ) : P(5, 6) a. 0.8333 b. 0.0006 c. 0.1606 d. 0.8394

Find the probability P(X; λ) : P(5, 6)

a. 0.8333

b. 0.0006

c. 0.1606

d. 0.8394

Homework Answers

Answer #1

Here X follows Poisson distribution with

If X follows poisson with then

x = 0,1,2..............

where x! = 1 * 2 * 3 * ..............*x

Here we have to find P(X=5)

(Round to 4 decimal)

P(5, 6) = 0.1606

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let descrete random variable X~Poisson(6). Find: Probability P(X=5) Probability P(X=2) Probability P(X<3) Probability P(X>6) μX σX
Let descrete random variable X~Poisson(6). Find: Probability P(X=5) Probability P(X=2) Probability P(X<3) Probability P(X>6) μX σX
Calculate each Poisson probability: (a) P(X = 9), λ = 0.80 (Round your answer to 7...
Calculate each Poisson probability: (a) P(X = 9), λ = 0.80 (Round your answer to 7 decimal places.) Probability =    (b) P(X = 8), λ = 9.20 (Round your answer to 4 decimal places.) Probability =    (c) P(X = 10), λ = 8.60 (Round your answer to 4 decimal places.) Probability =   
a) What are the modal values of a Poisson distribution X ~ P(λ)? b) Y ~...
a) What are the modal values of a Poisson distribution X ~ P(λ)? b) Y ~ P(λ) is independent from X ~ P(λ) (this is, identically distributed like X). What is the probability distribution of Z = X + Y?
Suppose that X has probability function fX(x)=cx2   for 0<x<1. (a) (5 pts) Find c. (b) (5...
Suppose that X has probability function fX(x)=cx2   for 0<x<1. (a) (5 pts) Find c. (b) (5 pts) Compute the cdf, FX(x). (c) (5 pts) Find P(-1 ≤ X ≤ 0.5) . (d) (5 pts) Find the moment-generating function(mgf) of X. (e) (10 pts) Use the mgf to find the values of (i) the mean and (ii) the variance of X.
Assume a Poisson distribution. a. If lambda=2.5​, find ​P(X=5​). b. If lambda=8.0​, find ​P(X=10​). c. If...
Assume a Poisson distribution. a. If lambda=2.5​, find ​P(X=5​). b. If lambda=8.0​, find ​P(X=10​). c. If lambda=0.5​, find ​P(X=0​). d. If lambda=3.7​, find ​P(X=4​). ROUND TO FOUR DECIMAL PLACES AS NEEDED
a. If lambda =2.5​, find ​P(X=4 ​). b. If lambda=8.0​, find ​P(X= 10 ​). c. If...
a. If lambda =2.5​, find ​P(X=4 ​). b. If lambda=8.0​, find ​P(X= 10 ​). c. If lambda=0.5​, find ​P(X=0 ​). d. If lambda=3.7​, find ​P(X= 6​). P(X=4​)
Let f(x)=(1/2)(x/5), x=1,2,3,4 Hint: Calculate F(X). Find; (a) P(X=2) , (b) P(X≤3) , (c) P(X>2.5), (d)...
Let f(x)=(1/2)(x/5), x=1,2,3,4 Hint: Calculate F(X). Find; (a) P(X=2) , (b) P(X≤3) , (c) P(X>2.5), (d) P(X≥1), (e) mean and variance, (f) Graph F(x)
Poisson Distribution: p(x, λ)  =   λx  exp(-λ) /x!  ,  x = 0, 1, 2, ….. Find the moment generating function Mx(t)...
Poisson Distribution: p(x, λ)  =   λx  exp(-λ) /x!  ,  x = 0, 1, 2, ….. Find the moment generating function Mx(t) Find E(X) using the moment generating function 2. If X1 , X2 , X3  are independent and have means 4, 9, and 3, and variencesn3, 7, and 5. Given that Y = 2X1  -  3X2  + 4X3. find the mean of Y variance of  Y. 3. A safety engineer claims that 2 in 12 automobile accidents are due to driver fatigue. Using the formula for Binomial Distribution find the...
Let X be an exponential random variable with parameter λ > 0. Find the probabilities P(...
Let X be an exponential random variable with parameter λ > 0. Find the probabilities P( X > 2/ λ ) and P(| X − 1 /λ | < 2/ λ) .
Suppose that X is an exponentially distributed random variable with λ=0.75. Find each of the following probabilities p(x>1)= p(x>.7)=...
Suppose that X is an exponentially distributed random variable with λ=0.75. Find each of the following probabilities p(x>1)= p(x>.7)= p(x<.75) p(.6<x<3.9)=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT