Question: If the random variable X has density f (x) = { x, 0 x < 1, 2 x, 1 x 2,

If the random variable X has density f (x) =

{

x, 0 ≤ x < 1, 2 − x, 1 ≤ x ≤ 2, then the conditional probability P(X ≤ 3∕2|X ≥ 1∕2) equals

(a) 3∕7 (b)7∕8 (c)3∕4 (d)6∕7 (e)2∕7

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related Introduction To Probability Statistics Questions!

Q:

Police cars are randomly stationed throughout the town. When an emergency occurs, the distance a police car must travel north or south is a random variable X with density fX(x) = 1/6 for 0 x 6, and...

Q:

The manufacturing time, X, for an item produced by a machine has distribution function F(t) = 1 e2t2 , t 0. Then, the probability P(X > 2) equals e8. 16. A random variable has probability density f...

Q:

6.4.13 The speed of a molecule of gas at equilibrium is a random variable X with density kx2e-bxa for x > 0 f ( x ) = { 0 otherwise, where k is a normalizing constant and b depends on the temperature...

Q:

The lifetime of an electrical appliance (in thousands of hours) is a random variable X with density function f (x) = { 0, x

Q:

consider the 3. Consider a random sample of size n {X,..., X } from a random variable X having density f ( x; 0 ) = (In ) Ox! x = 0, 1, ..., 0>1. (a) Show that X belongs to the regular exponential...

Q:

1 Due September 6 Problems 1.20, 1.26, 1.30 from the textbook Add-on sketch of a proof of existence of a set which is not Lebesgue-measurable. The original example is due to G. Vitali. Let = [0, 1);...

Q:

I NEED HELP ASAP.BE SURE TO ANSWER 3.64. (a) Find the moment generating function of a random variable X having density function (b) Use the generating function of (a) to find the first four moments...

Q:

B.4 Let the binary random variable X have pdf f (x) = p'( i - p)'' for x = 0. 1. (a) Find the mean and variance of X. (b) Let X1 ..... X, be independent discrete (0.1) random variables each with...

Q:

Please see the attached image for the full list of questions. 9. For a continuous random variable x, the probability density function f(x) represents a. the probability at a given value of x the area...

Q:

There are ten total questions. could i please get some help? thank you STAT 200 Midterm Exam Instructor : Dr. Jing Gao NAME Spring 2019 INSTRUCTIONS The midterm exam is worth 100 points total . The...

Q:

Information about some by-products is not recorded in the accounting system. However, for other by-products, control systems are instituted and accounting records are kept. How do accountants...

Q:

Stevenator Motor works Corp, currently sells 10,000 compact cars per year at $50,000 each, and 25000 luxury sedans per year at $90,000 each. The company wants to introduce a new mid-sized sedan to...

Q:

? _ _ _ _ _ _ _ _ _ _ _ a r e f u n d s t h a t i n v e s t i n c o m p a n y d e b e n t u r e s , g o v e r n m e n t b o n d s a n d o t h e r f i x e d - i n c o m e a s s e t s . G r o u p of a...

Q:

The lack of innovation and entrepreneurial focus at American Express (AmEx) may be because of hubris, inertia, and a lack of capability. The firms performance in 2014 was not, by any means, what...

Q:

If i 4, find the probability that a total of 7 games are played. Also show that this probability is maximized when p = 1/2.

Q:

The probability mass function of X is given by (r+k p(k) = (+-)p(1 - p)* k = 0, 1, ... Give a possible intepretation of the random variable X. Hint: See Exercise 23. In Exercises 25 and 26, suppose...

Q:

A coin having a probability p of coming up heads is successively flipped until the rth head appears. Argue that X, the number of flips required, will be n, nzr, with probability P(X = n] = = ( - )p(1...

Q:

2-23 (Algo) Complete the balance sheet LO 2, 3, 5 A partially completed balance sheet for Blue Co. Inc. as of October 31, 2019, is presented. Where amounts are shown for various items, the amounts...

Q:

Step 1: Record the journal entries for the following transactions in January 2019: (1) Jan-1, ABC firm received $500,000 cash from issuing the common stocks. (2) Jan-3, ABC firm borrowed $500,000...

Q:

When interest is incurred but not yet paid, which of the following entries should be made? Select one: a. Debit Cash; Credit interest Expense O b. Debit interest Expense; Credit Cash c. Debit...