Question: *A random variable X takes values between 4 and 6 with a probability density function elsewhere. (a) Check that the total area under the probability

*A random variable X takes values between 4 and 6 with a probability density function f(x) xta(15)

 elsewhere. 

(a) Check that the total area under the probability density function is equal to 

(b) What is  

(c) Construct the cumulative distribution function. 

(d) What is the expected value of this random variable? 

(e) What is the variance of this random variable?

(f) What is the standard deviation of this random variable?

f(x) xta(15)

Step by Step Solution

★★★★★

3.51 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Consider PS4 x 5 ffa de ffle dx 1 f In 15 In 15 9 Cumulative d... 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 Accounting Questions!

Q:

A random variable X takes values between 4 and 6 with a probability density function for 4 x (a) Cheek that the total area under the probability density function is equal to 1. (b) What is P(4.5 X ...

Q:

A random variable X takes values between 0 and 4 with a cumulative distribution function for 0 ¤ x ¤ 4. (a) What is P(X ¤ 2)? (b) What is P(1 ¤ X ¤ 3)? (c)...

Q:

A random variable X takes values between -2 and 3 with a probability density function and f (x) = 0 elsewhere. (a) Find the value of c and sketch the probability density function (b) What is P (-1 X...

Q:

Twenty percent of babies in a particular city are born by a surgical procedure called a Cesarean section (C-section). You are interested in gathering information about hospital experiences of parents...

Q:

You should now be familiar with MATLAB's built-in "max" function. Without using the built-in max(), min() and sort() functions, write a function that takes vector as an input and returns the maximum...

Q:

The following function is the density function for the random variable X: a. Graph the density function. b. Find the probability that X lies between 1 and 3. c. What is the probability that X lies...

Q:

The number of minutes of hot water you can expect from the shower in your dormitory is defined by the probability density function: where x = values for the random variable minutes of hot water a....

Q:

The useful life X of a particular kind of machine is a random variable with density function where x is the number of years a randomly selected machine stays in use. a. Find the probability that a...

Q:

A collector purchased a quantity of action figures and is going to sell them on eBay. He has 19 Hulk figures. In recent auctions, the mean selling price of similar figures has been $12.11, with a...

Q:

A real-estate broker in Washington, DC, purchased 3 two-bedroom houses in a depressed market for a combined cost of $1,000,000. He expects the cleaning and repair costs on each house to average...

Q:

The marketing department of Graber Corporation has submitted the following sales forecast for the upcoming fiscal year. Budgeted unit sales: 1st Quarter: 16,000 2nd Quarter: 15,000 3rd Quarter:14,000...

Q:

How flying airoplane?

Q:

You, CPA, work at Spring & Bounce Chartered Professional Accountants (S&B) as a management consultant. S&B is a medium-sized CPA firm. It is December 10, 2018, and the partner has called you into her...

Q:

Jamil has been operating his accounting firm in partnership with Eddie for several years and is thinking of taking advantage of the Limited Liability Partnership Act 2012, and converting his firm...

Q:

1.How do I identify my target market? 2.What are the key factors for a successful business plan? 3.How can I improve my companys cash flow? 4.What are the most effective ways to market a small...

Q:

1.What is the Renaissance, and why is it significant in art history? 2.How does Romanticism differ from Neoclassicism in art? 3.What is the significance of the Mona Lisa in art history? 4.How did the...

Q:

( a ) Mention 5 size separating equipment for solids moving in a fluid and elucidate on any two. ( b ) The screen analysis of crushed quartz was carried out using 1 4 mesh increaments. The density of...

Q:

According during to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,088 in 2018. Consider the population of "last-minute" filers who mail...

Q:

The situation described below was adapted from a case published by the institute of Management Accountants Committee on Ethics. WIW is a publicly owned corporation that makes various control devices...

Q:

Measures of Internal Business Process Performance DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating...

Q:

Karlik Enterprises distributes a single product whose selling price is $24 and whose variable expense is $18 per unit. The companys monthly fixed expense is $24,000. Required: 1. Prepare a...

Q:

Assume that the TD Bank shares in Table 9.3 will pay a $2.54 per share dividend in 2010. What must the share price be at the end of 2010 for a total rate of return in 2010 of 10%?

Q:

The S&P/TSX Composite Index rose 3.4%, dropped 1.4%, and then rose 2.1% in three successive months. The Index ended the three-month period at 9539. a. What was the Index at the beginning of the...

Q:

Shares purchased one year ago for $8790 are now worth $15,390. During the year, the shares paid dividends totalling $280. Calculate the shares: a. Income yield. b. Capital gain yield. c. Rate of...