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)==0x²251X<00 4.5).5≤XUse the cdf to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 4),(b) Calculate P(3.5 ≤ x ≤ 4).(d) What is the median checkout duration ? [solve 0.5 = F(p)]. (e) Obtain the density function f(x).f(x)F'(x)=(f) Calculate E(X).(g) Calculate V(X) andV(X)0≤x<5otherwise(h) If the borrower is charged an amount h(x) = x² when checkout duration is X, compute the expected charge E[h(X)].

As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

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) = 0 x² 25 1 x < 0 0≤x<5 (c) Calculate P(X> 4.5). 5 ≤x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 4). (b) Calculate P(3.5 ≤ x ≤ 4).

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) = 0 x² 25 1 x < 0 0≤x<5 (c) Calculate P(X> 4.5). 5 ≤x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 4). (b) Calculate P(3.5 ≤ x ≤ 4).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Use the graph of f(x) shown below to answer each question.

Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

Q: 2. Let h(x) = |9 – x²].

Q: A state's income tax for a single person in a recent year was determined by the rule below, where x…

A: The given function, hx=0.02x,if 0≤x<6000120+0.03x-6000if 6000≤x<10,000240+0.04x-10,000if…

Q: Suppose random variables X and Y are conditionally independent given random variable Z, i.e. P(X,…

A: Given that, P(X, Y|Z) = P(X|Z)P(Y|Z) (a). Then P(Y/X,Z)= P(Y,X,Z)/P(X,Z) (X and Y are…

Q: Answer all a

A: Substituting x = -5 in the given functions, we get i). ii).

Q: Find P(F<2.95) nu1=12 nu2=12 Make sure to show your work.

A: nu1=12nu2=12

Q: Find the discontinuity of the following functions, if any. a. f(x) = √3 cotx-1, 0<x<2n

Q: A college graduate is looking for a job. It is believed that the chance of getting a job offer after…

A: we have to find variance for geometric distribution.

Q: Find p(X1>1,X2<2)=? X2 X = 0 0.1 0. X = 1 X = 2 19- 0.1 0.2 0. 0.1 0.15 2.

A: First let us find the missing probability in the table. In the table we can see that the probability…

Q: Employ Lagrange's interpolation method to find the value of f(x) using the following set of values…

Q: On what interval is the following function positive. f (x) = -x² – 2x + 8

A: A function f(x) is said to be positive when the y values i.e. the values of f(x) are greater than 0.…

Q: a. Use the definition mtan = lim x→a a. mtan = b. Determine an equation of the tangent line at P. c.…

Q: Use the graph of the polynomial f(x) to answer the questions below a. Is f(x) even, or odd, or…

Q: Given the function f(x) = x4 – 8x³ + 18x², determine all intervals on which f is both increasing and…

A: Differentiate the function and equate with 0 and factorize the equation.…

Q: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

A: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

Q: On which of the following intervals is f(x) = x x-7 concave down? (-00, 3) A. (4, 5) O B. В. (5,6) O…

A: Given:

Q: It is possible for the F-ratio to be a negative number

A: It is possible for the F-ratio to be a negative number

Q: Let X Geom(1/4). Compute P(X > 3). (Simplify your answer to a fraction or a decimal value)

A: X~Gem(p=1/4), P(X≥3)= ?

Q: Use the graph off to estimate the intervals for which f(x) is increasing -sfx... A. x = -1 and x = 2…

A: We are asked to find the intervals for which f is increasing

Q: a) For the following functions, f(x)=√√2-x h(t) = t+1 2t² + t-6 2x + 1 x > 3 p(x)= x²₁-1<x<3 -3,…

Q: How many one-to-one functions f: [4] to [6] have 5 not in the range of f?

Q: Let X be x (32). Approximate Pr(18 < X < 53.6).

A: Given: To approximate Pr(18<X<53.6)

Q: "Fast and Good" is a small pizza place in the center of a big city that sells pizza by piece, as…

A: Probability of getting X =fX /Total

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.
F(x)=
=
0
x²
25
1
X<0
0<x<5
(c) Calculate P(X > 4.5).
5≤X
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 4),
(b) Calculate P(3.5 ≤ x ≤ 4).
(d) What is the median checkout duration ? [solve 0.5 = F(p)].

(e) Obtain the density function f(x).
f(x)
F'(x)
=
(f) Calculate E(X).
(g) Calculate V(X) and
V(X)
0≤x<5
otherwise
(h) If the borrower is charged an amount h(x) = x² when checkout duration is X, compute the expected charge E[h(X)].

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

i will re submit and answer g&h

Solution

by Bartleby Expert

SEE SOLUTION

Follow-up Question

i want to repost and answer remaining question

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
Given the function f(x) = 3x3 + 27x? + 45x, determine all intervals on which f is both increasing and concave down.
Determine the interval(s) on which x² + 2x-3 > 0. x 1 c. d. a. b. -3 1 x > 1
Graph the following function. Determine the interval(s) for 2 which f(x) > 0: f(x) = X 4x
Given the function f(x) = 2x – 16x³ + 36x², determine all intervals on which f is both increasing and concave down.
Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.