Question 9X < c is not the same as X ≤ c and X > c is not the same as X > cunless P(X= c) = 0 which is not true in general.1. Complete the following statement of the subdivision rule for a Discrete Random variable X:P(X<3)+P(3≤x≤7)= P(X ≤ 7)For discrete random variables, when making the probability statements that involve an inequality, itmatters whether the inequality is strict or not. In other words, in general, for any discrete random variableX:=2. Complete the following statement of the subdivision rule for a Discrete Random variable X:P(X<3)+P(3 < X < 7) = P(X < 7)3. Complete the following statement of the subdivision rule for a Discrete Random variable X:P(X ≤ 3) + P(3 < X < 7) =Select an answerSelect an answer▼P(X<7)P(X≤7)Part 1 of 3Part 2 of 3Part 3 of 3ş

Given X<c is not same as X≤c and X>c is not same as X≥c.

Answered: For discrete random variables, when…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following table contains the probability distribution for X = the number of re-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. X P(x) 0 0.40 1 0.30 2 0.25 3 0.05 Find the probability that there is at most two re-transmission. The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) 3 4 5 6 7 8 9 Probability P(v) 0.3100 0.1200 0.1700 0.1200 0.1300 0.1000 0.0500 What is the probability that on a given day, discipline officers will discover at most 6 violations of the student handbook? (Input answer in 4 decimal places) type your answer...
9
Two 6 sided dice are thrown and the scores of each dice are added together. Create a probability space of the possible outcomes. Below P(X) means the probability the sum of the scores is X. Use your probability space to find which of the following are correct. Note more than one answer may be correct. You should check each one and select all answers you believe are correct. P(X=8) = 36 A. 7. P(X2 10): 36 4 C P(X=6) =- 36 15 P(X<7) = 36 %3D
An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is tth, then N (tth)=2. Suppose that the random variable X is defined in terms of N as follows: X=N²-2N-2. The values of X are given in the table below. Outcome ttt htt hhh tht tth hth hht thh Value of X 1 -2 -2 -2 -2 -3 -3 -3 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 0 0 0 00 X Ś
1. If a random variable X takes the value 1,2,3,4 suchthat 2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4).Find the probability distribution of X.
Find p(x) for x=0,1, 2, 3, 4, 5.
Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5
Which of the following is not a property of a discrete probability distribution being valid? All values of P(x) must be positive. All values of P(x) must fall between 0 and 1. All values of x must be positive. The sum of all P(x) values must be 1.
Show that the expectation of the sum of two random variables defined over the same sample space is the sum of the expectations. Hint: Let p1, p2, ··· , pn be the probabilities associated with the n sample points; let x1, x2, ··· , xn, and y1, y2, ··· , yn, be the values of the random variables x and y for the n sample points. Write out E(x), E(y), and E(x + y)
I need help with this:A manufacturer knows that on average 20% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.58; (b) the probability that at least y of them will not require repairs is greater than 0.84.
2. A random variable|x has the following probability distribution. Find the value of p and then evaluate the following probabilities: P(X 5) and P(0 < X < 6). Find the mean of the probability distribution. 1 3 4 6 17 P(X) 2p 2p 3p p2 2p2 7p? + p Value of p = P(X < 5) =. P(X 2 5) = P(0 < X < 5) = Mean (u) =

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