Question: 8.11 A random variable has the following density function. f(x) = 1 - .5x 0 < x < 2 Graph the density function. Verify that

8.11 A random variable has the following density function.

f(x) = 1 - .5x 0 < x < 2

Graph the density function.
Verify that f(x) is a density function.
Find P(X > 1).
Find P(X < .5).
Find P(X = 1.5).

10.23 How many rounds of golf do physicians (who play golf) play per year? A survey of 12 physicians revealed the following numbers:

3 41 17 1 33 37 18 15 17 12 29 51

Estimate with 95% confidence the mean number of rounds per year played by physicians, assuming that the number of rounds is normally distributed with a standard deviation of 12.

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!

3. Buses arrive to a bus stop according to an exponential distribution with rate ?= 4 busses/hour. If you arrived at 8:00 am to the bus stop, a) what is the expected time of the next bus? b) Assume...

Popper7&8 I'm struggling really hard, I need step by step on how you get the numbers to the answer POPPER 7 The random variable X has probability density function: f (x) = {C - 2x 05x51 otherwise 1)...

4. Let X1 and X2 be independent random variables with the following density function: f (x) - de 1x for x > 0, 1 > 0 otherwise Find the joint density function of Y, = X, + 2X2 and Y2 - X2 with ox Ox1...

4-63. For a continuous random variable X with probability density function f (x) = -10e10x, x > 0; 0 elsewhere, find Xs moment generating function. Verify that = = 1 10 . Then find the...

7. (10 points) Suppose that the random variable X has probability density function f (x) = 12x(1 302, 0 7. (10 points) Suppose that the random variable X has probability density function f (x) =...

20. The lifetimes of mufflers manufactured by company A are random with the following density function: f (x) = 1 6 ex/6 if x > 0 0 elsewhere. The lifetimes of mufflers manufactured by company B...

The amount of milk (in thousands of gallons) that a dairy sells each week is a random variable X with the density function f (x) = 4(x - 1)3, 1 x 2. (See Fig. 4.) (a) What is the likelihood that...

Find the number M such that, half of the time, the dairy in Exercise 16 sells M thousand gallons of milk or less. Exercise 16 The amount of milk (in thousands of gallons) that a dairy sells each week...

Suppose that (X, Y) is a bivariate continuous random variable with joint probability density function ke_x_y x > 4y > 0, 0 otherwise. - fX,Y(xa y) = { - For x > 0 write the marginal probability...

Question 8 Chapter 9, end of chapter. Not yet \"swam\" Let X be a continuous random variable with the following density function: Marked out of 1 1.00 f(x) = 5x, 0 S x S 2 F Flag question Let X1, X2,...

An elastic cord vibrates with a frequency of 3.0Hz when a mass of 0.60 kg is hung from it. What is its frequency if only 0.38 kg hangs from it?

Describe the six segments of shoppers in relation to the Internet.

All of the following are organizations and services named below were created by New Deal legislation EXCEPT Question 1 4 Answer a . Social Security b . The Food and Drug Adminstration c . Civilian...

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...