Question: Suppose X has an exponential distribution with = 2. Determine the following: (a) P(x < 0) (b) P(X > 2) (c) P(X < 1) (d)

Suppose X has an exponential with λ = 2. Determine the following:
(a) P(x < 0)
(b) P(X > 2)
(c) P(X < 1)
(d) P(1) < X < 2)
(e) Find the value of x such that P(X < x) = 0.05.

Step by Step Solution

★★★★★

3.29 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a PX 0 edx 0 b PX 2 2e dx e 2 2 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-S-C-R-V (70).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose X has an exponential distribution with mean equal to 10.Determine following: (a) P(X > 10) (b) P(X > 20) (c) P(X > 30)

Suppose x has an exponential distribution with = 2.5. Find the following probabilities: a. P(x 4) b. P(x > 5) c. P(x 2) d. P(x > 3)

Suppose x has an exponential distribution with = 1. Find the following probabilities: a. P(x > 1) b. P(x 3) c. P(x > 1.5) d. P(x 5)

Suppose that the random variable x has an exponential distribution with =2. a.Write the formula for the exponential probability curve of x. What are the possible values of x? b. Sketch the...

X and Y are two independent random variables. X has an exponential distribution with E (X) = 2 and Y has an exponential distribution with E (Y) = 1. Another random variable Z is related to X and Y,...

pt in Progress Suppose X has an exponential distribution with mean equal to 24. Determine the following: (a) P(X 10) (Round your answer to 3 decimal places.) (b) P(X > 20) (Round your answer to 3...

Suppose X has an exponential distribution with parameter = 1 and Y |X = x has a Poisson distribution with parameter x. Generate at least 1000 random samples from the conditional distribution of X|Y =...

Problem 3 Let X the time between two successive arrivals at the drive up window of a local bank If X has an exponential distribution with X 1 which is identical to a standard gamma distribution with...

And derive cov(x1,x2) var(x) (D) Derive val ( A ). 2. Now suppose X = ( X1 + X2 ) / 2, where X1 and X2 are independent and P (X; = 1 ) = p, and P(X; =0 ) =1 -p where i can be 1 or 2. (a) Derive E( X )

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

7. There are 4 geometric mean between 3 and 729. Find the sum of the G.P. . 1009 b. 1902 . 1092 d. 1902 8. The hour hand of a huge clock is 100cm long. What is the circumferential speed of the tip of...

Financial statement data for years ending December 31 for Winnett Company are shown below. a. Determine the fixed asset turnover ratio for 2012 and 2011. b. Does the change in the fixed asset...

Financial projections should be limited to the income statement to prevent information overload on lenders and investors. True False

Individuals filing federal income tax returns prior March 31 received an average refund of $1056. Consider the populations of last minute filers who mail their tax return during the last five days of...

Woodn Wares, Inc., purchased all the outstanding stock of Pail, Inc., for $950,000. Woodn Wares also paid $10,000 in direct acquisition costs. Just before the investment, the two companies had the...

Consider the following hypothesis test: H0: 20 Ha:

Consider the following hypothesis test: H 0 : p .75 H a : p

Flom Company is considering the cash purchase of 100% of the outstanding stock of Vargas Company. The terms are not set, and alternative prices are being considered for negotiation. The balance sheet...

How do you think John interpreted the managers reaction? Why is John feeling confused and betrayed?

A study of the behavior of a large number of drug offenders after treatment for drug abuse suggests that the likelihood of conviction Within a 2year period after treatment may depend on the...

The accompanying scatterplot shows the median weekly earnings?(by quarter) for men and women in a country for the years from 2005 through 2017. The correlation is 0.984. Complete parts?(a)...

The Duo Growth Company just paid a dividend of $4.8 per share. The dividend is expected to grow at a rate of 18% per year for the next 3 years and then to level off to 6% per year forever. You think...