ZuoTi.Pro
Question

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. 0x<

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Find these probability using property of distribution function

F(X>a) =1-F(X<=a),

F(a<=X<=b)=F(X<=a) - F(<=a)

Probability density function =derivative of CDF

E(X) = integration of X. f(x)

Where f(x) =probability density function

V(X) =E(X^2)-(E(X))^2

Ans

A) 0.25

B) 0.109

C) 0.609

D) median check out duration is 3.464

F) E(X) =2.67

G) V(X)=0.871, standard deviation =0.933

H) h(x) =X^2

E(h(x))=8

Solution file is attached go through it

I hope you clarify this concept

© P(x725) = 1- P(x22.5) Using property of CDF F(x79) = |- FlyLa) / MX<2.5=122725 116 lo P(x22:5)= 6.25 lup get P(1725) = 1+(2we get d. f(n)) = f(n) flows after clestradine M20 tal- d (172) Ounay 4 LH Id 1 an el Consetempt = 2120 Tn HLO f(n) = q anh oSince v(x)= E(X2) - (E(x)? V(x)= 8~(2167)2 = 8- 7.129 = 0.87/ V(x) = 0.871 Stenelard deviatime = v = rrex) = V0.87) -0.933 He

Thanks

0 0
Add a comment
Know the answer?
Add Answer to:
Let X denote the amount of time a book on two-hour reserve is actually checked out,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Let X denote the amount of time a book on two-hour reserve is actually checked out,...

    Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF is x<0 x2 FX) OSX<2 25x Use the CDF to obtain the median checkout duration M.

  • Let X denote the amount of time a book on two-hour reserve is actually checked out

    Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. \(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{25} & 0 \leq x<5 \\ 1 & 5 \leq x\end{cases}\)Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 2)(b) Calculate P(1.5 ≤ x ≤ 2).(c) Calculate P(X>2.5).(d) What is the median checkout duration \tilde{μ} ? [solve 0.5=F(\tilde{μ})].(e) Obtain the density function f(x).f(x)=F'(x)=(f)...

  • Let X denote the amount of time a book on two-hour reserve is actually checked out,...

    Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following:\(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{4} & 0 \leq x \leq 2 \\ 1 & 2 \leq x\end{cases}\)Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 1).(b) Calculate P(0.5 ≤ x ≤ 1).(c) Calculate P(x>1.5).(d) What is the median checkout duration \tilde{μ} ?...

  • Let X denote the amount of time a book on two-hour reserve is actually checked out,...

    Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF is 0 x<0 0<x<2 1 2x Use the CDF to obtain the median checkout duration ù.

  • Will rate! Let X denote the amount of time a book on two-hour reserve is actually...

    Will rate! Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following F(x) - Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places) (a) Calculate P(X s 1). (b) Calculate P(0.5 s X s 1). (c) Calculate P(x > 1.5). (d) what is the median checkout duration μ? [.olve o.s-r(p)]. (e) Obtain the probability density...

  • Let X denote the amount of time for which a book on 2-hour reserve at a college library is checke...

    Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that Xhas cumulative distribution function, CDF 4 1 2 2 Use this to compute the following a. P(Xs 1) b. P(0.5 XS1.5) d. Determine the median checkout duration. That is find x such that F(x) = 0.5. e. Compute F') to obtain the density function fo) f. Determine E(X) and Var(X). Let...

  • Problem 3. (12 points) Let X denotes the amount of time a book on two-hour reserve...

    Problem 3. (12 points) Let X denotes the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF is 2/4 0, if xs0 1, if x 22 (1) Find P(0.5 s X s 1). (2) Find P(x>1.5). (3) What is the mean (i.e., expected value for) checkout duration μ? (4) What is the median checkout duration (5) Obtain the PDF for X.

  • Let X denote the amount of time for which a book on 2-hour reserve at a...

    Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that f(x) = 0.5x, 0<x<2 (0 otherwise) Calculate P(.5X< 1.5). Answer:

  • for part d i keep getting the answer wrong. it is not 3.536. can you please...

    for part d i keep getting the answer wrong. it is not 3.536. can you please work out all parts to show? 1. 0.33/1 points Previous Answers DEVORESTATO 4..011. My Notes Ask Your Teacher v Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. x < 0 F(x) = Osx<5 Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)...

  • 1 Let X denote the amount of space occupied by an article placed in a 1-ftpacking...

    1 Let X denote the amount of space occupied by an article placed in a 1-ftpacking container. The pdf of X is below. F(x) = {72x6 *otherwise Obtain the cdf of X. x < 0 0<x<1 F(x) = { X> 1 (b) What is P(0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) What is P(0.45 SXS 0.7)? (Round...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT