Question: The continuous random variable X has cumulative distribution function given by a. Find the cumulative distribution function of Y = 1/X. b. Find the probability

The continuous random variable X has cumulative distribution function given by

x < 1 25 F(x) = 1


a. Find the cumulative distribution function of Y = 1/X.

b. Find the probability density function of Y.

x < 1 25 F(x) = 1

Step by Step Solution

★★★★★

3.38 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To find the cumulative distribution function CDF of Y 1X we nee... 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

Students Have Also Explored These Related Cambridge International AS & A Level Further Mathematics Questions!

Q:

Tomlinson Furniture has a single lathe for turning the wood for various furniture pieces, including bedposts, rounded table legs, and other items. Four forms are turned on the lathe and produced in...

Q:

The continuous random variable X has cumulative distribution function given by Find the cumulative distribution function of Y = 100X 2 . Ox

Q:

The continuous random variable X has cumulative distribution function given by Find the cumulative distribution function of: a. A = X 2 b. B = X x 2 31

Q:

The continuous random variable X has probability density function given by a. Find F(x). b. Find the cumulative distribution of Y= 5 - 2X. c. Find P(Y

Q:

The continuous random variable X has cumulative distribution function given by F(x)= x- for x 2 Part(a) Two independent observations of X are taken. Find the probability correct...

Q:

The continuous random variable X has cumulative distribution function given by for = 2 Part(a) Find P(X > ?). Part(b) Find E(X). Part(c) Find Var(X). Part(d) Find the value of q such that P(X

Q:

The continuous random variable X has cumulative distribution function given by for = 2 Part(a) Find P(X > ?). Part(b) Find E(X). Part(c) Find Var(X). Part(d) Find the value of q such that P(X

Q:

The continuous random variable X has cumulative distribution function given by for = 2 Part(a) Find P(X > ?). Part(b) Find E(X). Part(c) Find Var(X). Part(d) Find the value of q such that P(X

Q:

The continuous random variable X has probability density function given by f(x) a. Find F(x). b. Find the cumulative distribution of Y = X 2 /4 c. Find the probability density function of Y. 2 I

Q:

Question 27 (4 marks) After taking a break at a rest step, Sergio starts driving down a highway. His car's velocity after t seconds is given by the equation v0) = 0.3):2 m/s. (a) Find how long it...

Q:

Please help with this 15. Let the continuous random variable X have cumulative distribution function F (r) and den- sity fx (x). The distribution function is strictly increasing on a single interval...

Q:

A company that deals in groceries is planning to minimise its total annual costs for inventory. The following relates to the company's planned purchasing arrangements for the forth coming year....

Q:

Suppose that the distribution of pH readings for soil samples taken in a certain geographic region can be approximated by a normal distribution with mean 6.00 and standard deviation 0.10. The pH of a...

Q:

2 . Can a variable declared within an if statement be accessed outside of that if statement? A . Yes, it can. B . No , it cannot. C . It depends on whether the declaration executes. D . Only if the...

Q:

In 2006, Willem de Koonigs abstract painting Woman III sold for $137.5 million. Portray this sale in a demand and supply diagram, and comment on the elasticity of supply. Comedian George Carlin once...

Q:

Predict the final product(s) for each sequence of reactions: (a) (b) (c) (d) Br Br. 1) Excess NaNH, 2) EECI 3) H2, Lindlar's catalyst 1) NANH, 2) Mel 3) 9-BBN 4) H202, NaOH H-CEC-H

Q:

When (R)-4-bromohept-2-yne is treated with H 2 in the presence of Pt, the product is optically inactive. Yet, when (R)-4-bromohex-2-yne is treated with the same conditions, the product is optically...

Q:

If the reaction Fe 2 N(s) + 3/2H 2 (g) 2Fe(s) + NH 3 (g) comes to equilibrium at a total pressure of 1 bar, analysis of the gas shows that at 700. and 800. K, PNH 3 /PH 2 = 2.165 and 1.083,...

Q:

The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S\&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an...

Q:

3. a needy family consisting of a mother and three children currently receives cash benefits that average $12 per day. The mother of this family is allowed to earn an average of $4 per day before her...

Q:

When is the relative sales value method used? When purchasing a group of like items. When purchasing a group of varying units. When purchasing damaged inventory. When purchasing a commodity