Question: 8) let X be a random variable with the following probability distribution: Find g(x), where g(x) = (2X + 1). a) Mg(x) =g(x)P(x) b)

8) let X be a random variable with the following probability distribution: Find g(x), where g(x) = (2X + 1). a) Mg(x) =g(x)P(x) b) E(X) =XP(x) -xP(x) =(2*(-3)+1)*(1/6)+(2*6+1)*(1/2)+(2*9+1)*(1/3)=209 =(-3)*(1/6)+6*(1/2)+9*(1/3) =5.5 E(X)=(-3)*(1/6)+6*(1/2)+9*(1/3) =46.5 hence E(g(x) =E((2x+1)) =E(4x+1+4x) =4E(X)+E(1)+4E(X)=4*46.5+1+4*5.5=209 QUESTION 5 Find the standard deviation of the random variable g(X) = (2X+1) from Question 8 of your last homework. QUESTION 6 The length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable density function Y=3X-2 X where has the 1 x>0 f(x) = 4 0, elsewhere Find the variance of the random variable Y .

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 Mathematics Questions!

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

3. Chase ltd is evaluating a new technology for its reproduction equipment. The technology will have a three-year life and would cost shl800, 000. Its impact on the first year, management estimates...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

A city starts a solid waste landfill in 2012. When the landfill was opened the city estimated that it would fill to capacity within 5 years and that the cost to cover the facility would be $1.5...

Sexton Manufacturing began business on January 1, 2015. The following events pertain to its first year of operation. 1. Acquired $2,000 cash by issuing common stock. 2. Paid $800 cash for direct raw...

b. Now suppose that the Federal Reserve Board increases the money supply, causing a fall in the risk-free rate to 9% and in rM to 12%. How would this affect the price of the stock?

1. Dont say, This is easy, I know you can do it.

Using scapy to hijack a telnet session and insert your own commands. If easier can provide your program with the packet sequence number. Metasploit VM has a Telnet server that can be attacked. Submit...

Study the following code segment and identify the line that will result in a syntax error. class Random { double numl; void print () const; double setNum (double); double getNum(); double power...

Capstone Case: Sunrise Bakery Expansion The Sunrise Bakery Corporation was originally founded in Houston, TX in 1991 by Griffin Harris, who currently serves as the company's Chief Executive Officer....

. SecLI 4) A company received a $10,000, 60-day, 5% Note Receivable from a credit customer. The (4pts) entry to record this note is Debit Cash, $10,000; Credit Notes Receivable $10,000 O Debit...

"Saeed Al-Ghamdi" is the third employee to enter your office today, expressing his objection to the promotion of "Abdullah Ahmed" to a supervisory position, even though he only spent one year in the...

Loyalty to the organization is the paramount duty. It requires the individual to put the interests of the corporation before self-interest. Specifically, no director is permitted to gain personally,...

M&M Company manufactures a single product the claud . the following budgeted figures relate to the claud for one year period. Sales & production (units) 800 Sales $16,000 Production Costs: Variable...

You delegated the development of dessert recipe cards to Bobby. Bobby has completed the dessert cards ready for the deadline of March 10 th . Bobby has met with you to go through the dessert....

Question 19 (3 points) Listen Thames Inc.'s most recent dividend was $2.5 per share (Do = $2.5). The dividend is expected to grow at a rate of 4% per year. The risk-free rate is 3% and the return on...

Required information Exercise 6-4A Calculate inventory amounts when costs are rising (LO6-3) [The following information applies to the questions displayed below.) During the year, TRC Corporation has...

Swifty company is a publicly held corporation whose $1 par value stock is actively traded at $30 per share. The company issued 3400 shares of stock to acquire land recently advertised at $93000. When...

The 2000 and 2004 presidential elections. Republican George W. Bush was elected president in 2000 and 2004. Figure 15.6 plots the percentage who voted for Bush in 2000 and 2004 for each of the 50...

4 The university library has one copying machine for the students to use. Students arrive at the machine with the distribution of interarrival times shown in Table 18. The time to make a copy is...

find the maximum flow from source to sink. Also find a cut whose capacity equals the maximum flow in the network. 50 20 30 5 27 10 3 15 2 14 19