4.21 The random variable x has the following discrete probabilitydistribution:1011121314P(x).232.1.2Since the values that x can assume are mutually exclusiveevents, the event {x s 12} is the union of three mutuallyexclusive events:{x = 10} U {x = 11} u {x = 12}a. Find P(x s 12).b. Find P(x > 12).c. Find P(x s 14).d. Find P(x = 14).e. Find P(x s 11 or x > 12).

We have given that Probability distribution. x 10 11 12 13 14 p(x) 0.2 0.3 0.2 0.1 0.2 I…

Answered: 4.21 The random variable x has the…

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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1. Suppose a discrete random variable Xhas probability function given by 5. 10 12 0.13 POX-1) 0.08 0.16 025 16 2y 0.03 005 Solve for y andfind the mean and variance of X.
W is a random variable with probabilities for w= 0,1 P(W = w) = {2h + k for w= 2 %3D 3k for w= 3,4 7 find the values of h and k. 10 (а) If P(W <2) = (b) Construct a probability distribution table for W. 4.
3. A discrete random variable has the the following probability distribution 1. 2 4 7. 8 6. P(X=x) 2k 5k 7k 6k 11k 9k 3k k 10k o) Find the value of k? b) Find E(5X+3)?
23. *An insurance policy pays an individual 100 per day for up to 3 days of hospitalization and 25 per day for each day of hospitalization thereafter. The number of days of hospitalization, X, is a discrete random variable with probability function Pr(X = k) = (1/15)(6 – k), k = 1, 2, 3, 4, 5. Calculate the expected payment for hospitalization under this policy. (213.3)
1. Consider the following probability distribution for the continuous random variable, X. 1 حا 4 5 X a. Find P(2 < X<4) (4-2) 4-10.9= 0.5 b. Find P(4 < X <5) 50.25 6= 0.25 c. Find P(X<4) -3.0
13. A continuous random variable is uniformly distributed between 200 and 220. a. What is the probability a randomly selected value will be greater than 215? b. What is the probability a randomly selected value will be less than 205? c. What is the probability a randomly selected value will be between 205 and 215? a. P(x > 215) = (Simplify your answer.) b. P(x< 205) = (Simplify your answer.) c. P(205
5. The probability distribution of discrete random variable X is given by k for x = 1, 2, 3 x +1 P(X = x) %3D
Using the following probability distribution for number of tattoos, find the mean number of tattoos per student and the standard deviation. Probability Distribution for Number of Tattoos Each StudentHas in a Population of Students Tattoos 0 1 2 3 4 Probability 0.850 0.120 0.015 0.010 0.005
21:18 64 | 30ll a O 100 JO Imssb1.mutah.edu.jo/m Number of sales of household appliances, Y, makes in a day is given by following probability distribution. y: 3 4 p(y) : 0.10 0.28 0.18 0.11 0.16 0.17 Expected value of (2Y -3): Select one: а. 1.41 b. 1.45 c. 1.92 d. 2.46 e. None of These +
(b) Test two independent circuits one after the other. On each test, the possible outcome is either overvoltage (0) or undervoltage (U). Assume that all circuits are overvoltage with probability 0.4. Let X be the number of overvoltage circuit in the first test and Y be the number of overvoltage circuit before you observed undervoltage. If both circuit is overvoltage or undervoltage, Y = 2. Find the joint PMF of X and Y.
5. Based on recent records, the manager of a car painting centre has determined the following probability distribution for the number of customers per day: 1 3 4 P(X = x) 0.05 0.2 0.3 0.25 0.15 0.05 А. f the centre has the capacity to serve three customers per day, what is the probability that one or more customers will be turned away on a given day? В. What is the probability that the centre's capacity will not be fully utilized on a day? С. away is no more than 0.1? By how much the capacity must be increased so the probability of turning customer 2. il

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