We know that


= P(X=-4) +P( X=-3) +P(X=-2)+P(X=-1)
=0.24 +0.11+0.26+ 0.28
= 0.89
We know that

Thus
=P(X=-3) +P(X=-2)
= 0.11+0.26
= 0.37


= P( X=-4) +P(X=-3)
= 0.24 +0.11
= 0.35
Cumulative distribution function The probability distribution of a discrete random variable X is given below: Value...
2). Consider a discrete random variable X whose cumulative distribution function (CDF) is given by 0 if x < 0 0.2 if 0 < x < 1 Ex(x) = {0.5 if 1 < x < 2 0.9 if 2 < x <3 11 if x > 3 a)Give the probability mass function of X, explicitly. b) Compute P(2 < X < 3). c) Compute P(x > 2). d) Compute P(X21|XS 2).
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
2. Let X be a discrete random variable with the following cumulative distribution function 0 0.2 0.5 ェ<2, 2-1<5.7, 5.7-1 6.5, 6.5 <エ<8.5, F(z)= 18.5 エ a) Find the probability mass function of X b) Find the probabilities P(x>5), P(4<X 6x> 5) c) If E(X) = 5.76, find c.
Question 3: Let X be a continuous random variable with
cumulative distribution function FX (x) = P (X ≤ x). Let Y = FX
(x). Find the probability density function and the cumulative
distribution function of Y .
Question 3: Let X be a continuous random variable with cumulative distribution function FX(x) = P(X-x). Let Y = FX (x). Find the probability density function and the cumulative distribution function of Y
By specifying its probability function,px, and a random variable X with cumulative distribution function:FX(t) =8>>>>>>>>><>>>>>>>>>:0; t <31=3;3t <41=2;4t <52=3;5t <61; t6Calculate Pr(3X4).
Let X be a discrete random variable whose distribution is given by the table below. W, P(X=w 2 0.01 4 0.40 9 0.32 11 0.27 (the probability that X equals a number outside of the left column is zero) Calculate: 1. E(X) 2 Var(x) 3. PX <4)
X is a discrete random variable with cumulative distribution function F(x) as shown in the table below. What is P1[.X<2]? fr F(x) 1/8 30-as 0 100 - 0 m 0 oon 100 0 0 O E. cannot be determined
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...
Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2,-1,0, 1, and 2. Value x of x P ( X = x) -2 0.26 0 0.26 1 2 0.14 X 5 ?
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x) is defined by F(x) P(X < x). Example: Suppose the random variable X has the following probability distribution: 123 45 fx 0.3 0.15 0.05 0.2 0.3 Find the cdf for this random variable