Question: Find the value of c so that f(x) = { ce -x/4 x 0 0 x 0 is a probability density function.

Find the value of c so that f(x) = { ce -x/4 x ≥ 0 0 x ˂ 0 is a probability density function.

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Therefore Th... View full answer

blur-text-image
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)

Word file Icon

1386-M-C-L-A-D(4619).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Let X1, X2, . . . , Xn be a random sample from b(1, p) (i.e., n Bernoulli trials). Thus, (a) Show that = Y/n is an unbiased estimator of p. (b) Show that Var(X) = p(1 p)/n. (c) Show that E[(1 X)/n]...

Q:

A rod has density (x) = 1/(1+x3). Use Newtwon's method to find the value of c so that mass of the road from 0 to c is 0.5

Q:

The pdf of X is f(x) = c/x2, 1

Q:

The joint density of X, the total time (in minutes) between an automobiles arrival in the service queue and its leaving the system after servicing, and Y, the time (in minutes) the car waits in the...

Q:

Determine the value of c that makes f XYZ (x, y, z) = c a joint probability density function over the region x > 0, y > 0, z > 0, and x + y + z

Q:

(Accuracy) Let a continuous random variable X have probability density func- -2x +ce, x>0 tion f(x) = | 0, x

Q:

1. Grades on Fall 2020 STAT 410 Exam 1 were not very good*. Graphed, their distribution had a shape similar to the probability density function. fX ( x ) = (x+6)^0.5 / C , 3 x 75, zero elsewhere. a)...

Q:

Could you check my answer and if they are not correct answer then with an explanation please thanks so much. Question 3: Continuous Random Variable (20 marks) Let X be a continuous random variable...

Q:

How is a cumulative distribution function F left parenthesis x right parenthesis related to the probability density function f left parenthesis x right parenthesis ? a. The cumulative distribution...

Q:

refer to the attachments below A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. Suppose the coin is unbalanced and a head...

Q:

Three different plans for financing an $80,000,000 corporation are under consideration by its organizers. Under each of the following plans, the securities will be issued at their par or face amount,...

Q:

How does consumption as a percentage of GDP vary among countries?

Q:

Which of the following frauds involved primarily asset misappropriation? a . Dell. b . Koss. c . Enron. d . WorldCom.

Q:

4.4 [Related to the Economics in Practice on p. 452] In 2015, the United States and Cuba re-established diplomatic relations, reopening embassies in each others capitals for the first time since...

Q:

(a) In Example 11 the graphs suggest that the limaon r = 1 + c sin has an inner loop when | c | > 1. Prove that this is true, and find the values of that correspond to the inner loop. (b) From Figure...

Q:

Match the polar equations with the graphs labeled IVI. Give reasons for your choices. (Dont use a graphing device.) (a) r = sin(0/2) (c) r = sec(30) (e) r =1+ 4 cos 50 (b) r= sin(0/4) (d) r= 0 sin 0...

Q:

Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. 55. r= 2 sin 0. 0 = 7/6 57. r- 1/0. 0 = 7 59. r= 1+ cos e, e = 1/6 56. r= 2 - sin 0. 0 =...

Q:

I. Fill in the blank using a number of terms listed below (@1 point). After-tax, Average, Before-tax, Bird-in-the-hand theory, Bond-yield-plus-risk-premium, Book, CAPM, Clientele effect, Common...

Q:

Solve an example of each case mentioned below: Case 01: Loan amortization table. Case 02: Choose an investment based on Payback Period, Profitability Index. Case 03: Choose an investment based on...

Q:

Question in Chemical Engineering Please Write Correct answer 7 9 .