If X is uniformly distributed over (1, 1), find (a) P{|X| > 1/2}; (b) the density function

Question:

If X is uniformly distributed over (−1, 1), find
(a) P{|X| > 1/2};
(b) the density function of the random variable |X|.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Oct 22, 2015 02:55 AM

See More Questions

The density function of the random variable X is given by Find P(X < 1/4 ) and P(X > 1/2). 6x( 1-r) 1 for 0
Suppose X is uniformly distributed over ( a, a), where a is some positive constant. Find the PDF of Y= X2.
The density function of X is given by If E[X] = 3/5, find a and b. 0 otherwise
Neo-Darwinism believes that new species develop through (A).Continuous variations and natural selection (B) Mutation with natural selection (C) Hybridization (D) Mutation
A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below. 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97...
After a long walk in the 8C outdoors, a person wearing glasses enters a room at 25C and 40 percent relative humidity. Determine whether the glasses will become fogged.
Create Your Own: Bubble Plot Using any of the datasets that come with this text that include at least three quantitative variables (or any other dataset that you find interesting and that meets this...
Simco Blenders makes different kinds of electrical blenders, mixers, and grinders for various kitchen needs. These products are powered by small electric motors. Presently, Simco buys these motors...
1. Assume that OSG currently has accounts receivable of US $1 million from a US company which will be paid in three months. Explain and calculate how one might hedge the company's FX risk. Use the...
GGG Electronics builds short-wave radios. Its manufacturing plant is also a warehouse. When parts are received, the receiver compares the type of goods and quantity to a copy of the purchase order...
Suppose that the life distribution of an item has the hazard rate function (t) = t3, t > 0. What is the probability that (a) The item survives to age 2? (b) The items lifetime is between .4 and 1.4?...
If Y is uniformly distributed over (0, 5), what is the probability that the roots of the equation 4x2 + 4xY + Y + 2 = 0 are both real?
A steel rod (( = 7860 kg/m3) has a length of 2.0 m. It is bolted at both ends between immobile supports. Initially there is no tension in the rod, because the rod just fits between the supports. Find...
Which of the following help to explain why the aggregate demand curve slopes downward? a. When the domestic price level rises, our goods and services become more expensive to foreigners. b. When...
If an economy has an inflationary expenditure gap, the government could attempt to bring the economy back toward the full-employment level of GDP _________ by taxes or ________ government...
What were the monetary and fiscal policy responses to the Great Recession? What were some of the reasons suggested for why those policy responses didnt seem to have as large an effect as anticipated...
The economys current level of equilibrium GDP is $780 billion. The full-employment level of GDP is $800 billion. The multiplier is 4. Given those facts, we know that _______ the economy faces...
What do economists mean when they say that the Federal Reserve Banks are central banks, quasi-public banks, and bankers banks?
The school population in Middleton has been dropping 3% per yr. The current population is 50,000. If this trend continues, what will the population be in 6 yr?
Frontland Advertising creates, plans, and handles advertising campaigns in a three-state area. Recently, Frontland had to replace an inexperienced office worker in charge of bookkeeping because of...
A shipment of thousands of pins contains some percentage of defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 80 items are chosen at random from the...
A shipment of 100 pins contains some defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 15 items are chosen at random from the sample and tested. If the...
A recent study published in the Toronto Globe and Mail reveals that 25% of mathematics degrees from Canadian universities and colleges are awarded to women. If five recent graduates from Canadian...
Research and outline the options for geotechnical investigation for a tunnelling project. What are the options and why did you select these?
New Millenium Company earned $2.3 million in net income last year. It took depreciation deductions of $302,000 and made new investments in working capital and fixed assets of $105,000 and $347,000,...
Gain on Sale of Land* $4,000 MACRS Depreciation 7,500 Charitable Contributions 12,500 Sales 40,000 Interest Income 500 Cost of Goods Sold 32,000 Section 179 Expense 7,000 Tax-Exempt Income 2,000...

If X is uniformly distributed over (1, 1), find (a) P{|X| > 1/2}; (b) the density function

Question:

Step by Step Answer:

a PX 12 PX 12 PX 12 12 ...View the full answer

A First Course In Probability

Students also viewed these Statistics questions