4. (8 Marks) Suppose X is a random variable best described by a uniformly distribution or...
suppose X is a random variable best described by a uniform probability distribution with a=30 and b=50 find p(30
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...
The random variable x is known to be uniformly distributed between 10 and 20. (a) Choose a graph below which shows probability density function. (i) (ii) (iii) (iv) - Select your answer -Graph (i)Graph (ii)Graph (iii)Graph (iv)Item 1 (b) Compute P(x < 15). If required, round your answer to two decimal places. (c) Compute P(12 ≤ x ≤ 18). If required, round your answer to two decimal places. (d) Compute E(x). (e) Compute Var(x). If required, round your answer to...
1 point) Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x <a) -0.18 a E (b) P(x < a) 0.78 (c) P(x 2 a) 0.23 (d) P(x > a) = 0.95 a= (e) P( 1.78 x a) = 0.02 a=
1. (10 marks) random variable with density r(x). Let g: R - (a) Let X R be a (differentiable) function and let Y = g(X). Write expressions for the following ((ii)-(iv) should be in terms of the density of X (i) The integral f()d (ii) The mean E(X) (ii The probability P(X e (a, b) (iv) The mean E(g(X)) R be a smooth (1 mark (1 mark) (1 mark (1 mark) (b) Let z E R be a constant and...
A discrete random variable X has the following probability distribution: x7778798081 P(x) 0.150.150.200.400.10Compute each of the following quantities. i. P(X = 80) ii. P(x > 80) iii. P(X ≤ 80) iv. The mean, μ of x. v. The variance, σ2 of X. vi. The standard deviation, σ of X.
Suppose a random variable x is best described by a normal distribution with = 60 and sigma=16. Find the z-score that corresponds to the value x = 0. 0 -3.75 0-16 O 16 0 3.75
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
Question 19 4 pts Suppose a random variable x is best described by a normal distribution with = 60 and sigma=16. Find the z-score that corresponds to the value x = 0. O-16 0 -3.75 16 O 3.75 Previous Next
Suppose that a random variable X 15 distributed according to the Gramma distribution with mean: 10 and vanance : 20. Un b o (a) Find the parameters oc and VAL (b) Find the probability density function of X, Ivana (C) Find P(X<6) L ED bodo dj compute E[4X-5X1 X o Milladolib