The length of life, X, in days, of a heavily used electric motor has probability density...
The length of life, X, in days, of a heavily used electric motor
has probability density
function
f (x) ={3e^(−3x), x ≥ 0.
0, otherwise.
(a) Find the probability the motor lasts at least 1/2 of a day,
given that it has lasted 1/4
of a day.
(b) Find the mean and variance for X.
Homework Answers
Add Answer to:
The length of life, X, in days, of a heavily used electric motor
has probability density...
Find the mean and variance of the random variable X with probability function or density f(x)...
Find the mean and variance of the random variable X with
probability function or density f(x)
f(x) = k(1 – x2) if –1 3x = 1 and 0 otherwise
The distance X between trees in a given forest has a probability density function given f...
The distance X between trees in a given forest has a probability density function given f (x) cex/10, x >0, and zero otherwise with measurement in feet i) Find the value of c that makes this function a valid probability density function. [4 marks] ii) Find the cumulative distribution function (CDF) of X. 5 marks What is the probability that the distance from a randomly selected tree to its nearest neighbour is at least 15 feet. iii) 4 marks) iv)...
2. (25 points) For the probability density function (pdn) sGr) rx) =10.08 x (0 5) x...
2. (25 points) For the probability density function (pdn) sGr) rx) =10.08 x (0 5) x 0 (otherwise) (a) Find and sketch the cumulative density function (edr. F(x)-f(x) dx F6) F(x) - (x <0) OsxS5) (x> 5) (b) Find the mean value of x. (c) Find the variance and standard deviation of x 2fx) dx
Find mean and variance of a random variable whose probability density function is given by f(x)...
Find mean and variance of a random variable whose probability density function is given by f(x) = C(x + 1) when -1<= x <=1 otherwise f(x) = 0 Find C values also.
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks...
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks b) The life expectancy (in days) of a mechanical system has a probability density write down equations for the cumulative distribution C(x) and the survival distribution Px). State a relationship between them. function f(x)=1/x, for x21, and f(x)=0 for x <1. i Find the probability that the system lasts between 0 and I day.2 marks i) Find the probability that the system lasts between...
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f()...
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f() = (3-X)/4 i<< <3 10 otherwise (a) Compute the mean and variance of X. (b) Compute P(X <3/2). (c) Find the first quartile (25th percentile) for the distribution.
Assume the length X in minutes of a particular type of telephone conversation is a random variable with probability density function f(x) = {1/5 e^x/5, x > 0 0, elsewhere (a) Determine the mean length E (X) of this type of telephone conversation. (b) Find
Assume the length X in minutes of a particular type of telephone conversation is a random variable with probability density function f(x) = {1/5 e^x/5, x > 0 0, elsewhere (a) Determine the mean length E (X) of this type of telephone conversation. (b) Find the variance and standard deviation of X. (c) Find E [(X + 5)^2].
A continuous random variable X has the probability density function f(x) = e^(-x), x>0 a) Compute...
A continuous random variable X has the probability density function f(x) = e^(-x), x>0 a) Compute the mean and variance of this random variable. b) Derive the probability density function of the random variable Y = X^3. c) Compute the mean and variance of the random variable Y in part b)
A random variable X has probability density function given by... Using the transformation theorem, find the...
A random variable X has probability density function given
by...
Using the transformation theorem, find the density function for
the random variable Y = X^2
A random variable X has probability density function given by 5e-5z if x > 0 f (x) = otherwise. Using the transformation theorem, find the density function for the random variable Y = X².
1. Consider the joint probability density function 0<x<y, 0<y<1, fx.x(x, y) = 0, otherwise. (a) Find...
1. Consider the joint probability density function 0<x<y, 0<y<1, fx.x(x, y) = 0, otherwise. (a) Find the marginal probability density function of Y and identify its distribution. (5 marks (b) Find the conditional probability density function of X given Y=y and hence find the mean and variance of X conditional on Y=y. [7 marks] (c) Use iterated expectation to find the expected value of X [5 marks (d) Use E(XY) and var(XY) from (b) above to find the variance of...
Find the mean and variance of the random variable X with
probability function or density f(x)
f(x) = k(1 – x2) if –1 3x = 1 and 0 otherwise
The distance X between trees in a given forest has a probability density function given f (x) cex/10, x >0, and zero otherwise with measurement in feet i) Find the value of c that makes this function a valid probability density function. [4 marks] ii) Find the cumulative distribution function (CDF) of X. 5 marks What is the probability that the distance from a randomly selected tree to its nearest neighbour is at least 15 feet. iii) 4 marks) iv)...
2. (25 points) For the probability density function (pdn) sGr) rx) =10.08 x (0 5) x 0 (otherwise) (a) Find and sketch the cumulative density function (edr. F(x)-f(x) dx F6) F(x) - (x <0) OsxS5) (x> 5) (b) Find the mean value of x. (c) Find the variance and standard deviation of x 2fx) dx
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks b) The life expectancy (in days) of a mechanical system has a probability density write down equations for the cumulative distribution C(x) and the survival distribution Px). State a relationship between them. function f(x)=1/x, for x21, and f(x)=0 for x <1. i Find the probability that the system lasts between 0 and I day.2 marks i) Find the probability that the system lasts between...
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f() = (3-X)/4 i<< <3 10 otherwise (a) Compute the mean and variance of X. (b) Compute P(X <3/2). (c) Find the first quartile (25th percentile) for the distribution.
A random variable X has probability density function given
by...
Using the transformation theorem, find the density function for
the random variable Y = X^2
A random variable X has probability density function given by 5e-5z if x > 0 f (x) = otherwise. Using the transformation theorem, find the density function for the random variable Y = X².
1. Consider the joint probability density function 0<x<y, 0<y<1, fx.x(x, y) = 0, otherwise. (a) Find the marginal probability density function of Y and identify its distribution. (5 marks (b) Find the conditional probability density function of X given Y=y and hence find the mean and variance of X conditional on Y=y. [7 marks] (c) Use iterated expectation to find the expected value of X [5 marks (d) Use E(XY) and var(XY) from (b) above to find the variance of...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago