Find the expected value of the random variable X, which has the following PDF:
x (score) | 22 | 18 | 13 | 10 | 12 | 2 |
p(x) | 0.15 | 0.17 | 0.11 | 0.06 | 0.23 | 0.28 |
E[X]= _____ (Round your answer to two decimal places.)
Find the expected value of the random variable X, which has the following PDF: x (score)...
Homework 9.1 Find the expected value for each random variable x 1 3 5 7 P(x) 0.1 0.5 0.2 0.2 y 1 15 30 40 P(y) 0.15 0.20 0.40 0.25 z 0 2 4 8 16 P(z) 0.21 0.24 0.21 0.17 .17
. 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...
L.9) Hand calculation of expected values a) The pdf of a random variable X with the Exponential[u] distribution is for 0x Calculate by hand the expected value of X b) The pdf of a random variable X with the Beta[2, 3] distribution is 12 ( 1-xf x for。S$ 1. Calculate by hand the expected value of X. c) Go with numbers a and b with a<b. Calculate by hand the expected value and variance of a random variable uniformly distributed...
o 3.4 For a random variable for which the PDF is (0, x<-1 x> 1 Determine (a) A, (b) μ, (c) o", (d) sh, (e) ku. 3.5 Suppose that (a) Find f(x). (b) Determine,e and o". (c) Find the expected value of e.
(1) Suppose the pdf of a random variable X is 0, otherwise. (a) Find P(2 < X < 3). (b) Find P(X < 1). (e) Find t such that P(X <t) = (d) After the value of X has been observed, let y be the integer closest to X. Find the PMF of the random variable y U (2) Suppose for constants n E R and c > 0, we have the function cr" ifa > 1 0, otherwise (a)...
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Suppose that a random variable X has the following pdf. 2(1-2) 0.5 SX < 1 0 otherwise where p is simply a constant that has yet to be specified (in other words, p isa parameter). For now, we will leave the parameter p an unspecified constant Find P(X>08) Note: your answer will be an expression containing p. Suppose that k>0 is also a constant (not yet specified). Find the expected value of the random...
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. Also, calculate the expected value of X. Round solution to three decimal places, if necessary.x46710111219P(x)0.140.080.140.080.110.320.13μ=σ2=σ=What is the expected value of X ?E(X)=
6. Find the expected value of the random variable: 2 الدها X P(x) 0 0.32 4 0.10 0.23 0.3 0.05 A) 1.38 B) 2.22 C) 2.09 D) 1.42 E) None of the Above 7. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 42 male and 33 female dogs at a local rescue are chosen, and 12males and 12 females are randomly chosen from these groups. A) Stratified B) Cluster C) Convenience D) Stratified E)...
An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X - the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. p(x, y) 0 5 10 15 0 0.03 0.06 0.02 0.10 x 5 0.04 0.17 0.20 0.10 10 0.01 0.15 0.11 0.01 (a) If the...
A random variable X is exponentially distributed with an expected value of 52. a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.) a-2. What is the standard deviation of X? b. Compute P(44 ≤ X ≤ 60). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. Compute P(41 ≤ X ≤ 63). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal...