The amount of the product of a controlled laboratory experiment, has the following cumulative distribution function F:F(x) = 0 for x < 0 and F(x)=³ for 0 ≤ x ≤ 3 and F(x) = 1 for x > 327a) What is the probability density function for X for 0 ≤ x ≤ 3?○ f(x) =f(x) =160f(x) == //f(x)(=/3/7/26* ~*f(x) == /b) What is the probability that X > 1.2? 2c) What is the probability X < 1.2? 34d) What is the probability that X < 0 ?e) What is the probability that X > 2.2 ?5f) What is the probability that X > 2.2 given that X > 1.2?6g) Calculate the median of X. 7h) What is the expected value of X?8i) What is the expected value of x²?j) What is the variance of X?k) What is the probability that X is more than 0.2 above its expected value?1011

As per our guidelines we are suppose to answer only three sub parts. Given,F(X)={x327; 0≤x≤30;…

Answered: The amount of the product of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Let f(x) = x for 0 < x < 1. Is f(x) a legitimate probability distribution function (pdf) for a continuous random variable? No, the area under f(x) is not 1 (it is greater than 1). Yes, all criteria for a pdf are satisfied. No, the area under f(x) is not 1 (it it less than 1). No, f(x) is not non-negative.
A scout on a camping trip is requested to find some dry sticks of length at most one metre to use as firewood. A model for the distribution of the lengths, X, in metres, of sticks that she brings back to the camp has probability density function f(x) = VT, 0< x < 1. 0 < x < 1. According to the model, what is the mean length of the sticks that the scout brings back?
a continuous random variable with probability density function given v f(x): de-/100 0. What is the probability that • (a) a computer will function between 50 and 150 hours before breaking down? (b) it will function for fewer than 100 hours?
The density function of the continuous random variable X is shown below. When c≈ 0.163, Find: (1) the mode, (2) the median, and (3) the mean. Jcsin (2 -0.2x) for 1≤ x ≤ 10 f(x) = {0 elsewhere mahamdy@uoanbar.edu.iq
The probability density function for a continuous random variable X is given by f(x) = 0.20 0<X<1 = 0.20 x 1 ≤X≤ 3 = 0 otherwise Find the 70th percentile value of X.
A machine has a useful life of 4 to 9 years, and its life (in years) has a probability density function defined by f(x) = 1 1 Find the probability that the useful life of such a machine selected 15 at random will be longer than 7 years?
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function 2 f(x)= = x3 for x > 1 . What is the probability that the diameter of the particle of contamination is below 2 micrometers?
Let X be a random variable that follows the beta distribution. This random variable is continuous and is defined over the interval from 0 to 1. The probability density function is given by whereand are integers, whose values determine the shape of the probability density function. Because X varies between 0 and 1, we can think of X as the probability that some event (say) E occurs or the proportion of times an event occurs in some population. For example, E could denote the event that a critical part in a newly designed car will lead to a catastrophic failure in accidents at high speeds. The expected value (i.e., mean) of this random variable is []. That is, . The Excel commands for the beta random variable are =beta.dist(x,,,true,0,1) for the cumulative probability distribution, and =beta.dist(x,,,false,0,1) for the probability density function. (a) Now, think in Bayesian terms.…

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS