Problem 2.1: The probability distribution for the discrete random variableX is described in the table below. Find:(а) с,(b) F(x). Plot f(x) and F(x).(c) P(X = 2.2)(d) P(X = 3.14)(e) P(2 < X < 4.2)(f) P(X > 3)(g) P(X > 5)(h) F(X > 5)%3D1.21.72.22.73.23.74.2f(x) 0.05 0.2 0.060.15 0.09 0.15Problem 2.2: A discrete probability distribution is expressed through theexpression below. Find:(a) F(x). Plot f(x) and F(x).(b) P(X = 2)(c) P(X = 3.14)(d) P(2 < X < 7.5)(e) P(X > 4)(f) P(X > 5)(g) F(X = 5)(h) F(X > 10)%3D%3D0.45977for x = 1,2, 4, 5, 8, 10f(x) =elsewhere

Answered: Image /qna-images/answer/bedbe28f-7e96-4f86-9d00-ac85cfc36184.jpg

Answered: Problem 2.2: A discrete probability…

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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If the odds against R occurring are 1:7, then find P(R) and P(R'). P(R)= (Simplify your answer.) P(R')= (Simplify your answer.)
1. Answer the following questions using the probability tree below: .2 .3 X .3 .8 a Y (a) What is the value of z? (b) What is the probability of X occurring? (c) What is Pr[Xa] (Note: Pr[Xa] = Pr[X and a].) (d) What is Pr[X_or a]? (e) What is Pr[a|X]? (f) What is Pr[c]?
The probability function of the amount of soft drink in a can is f(x)=4cx for11.5 <X< 12.5 oz. Determine the value of c such that f(x) represents a p.d.f..Then, find the following probabilities:(a) P(X > 11.5), (b) P(X < 12.25), and (c) P(11.75 <X< 12.25).
X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playing
Consider the curve below 0.2- 1 2 3 4 5 6 Find the probability that x < 2 P (x < 2) =

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Problem 2.2: A discrete probability distribution is expressed through the expression below. Find: (a) F(x). Plot f(x) and F(x). (b) P(X = 2) (c) P(X = 3.14) (d) P(2 < X < 7.5) (e) P(X > 4) (f) P(X > 5) (g) F(X = 5) (h) F(X > 10) 0.45977 for r = 1,2, 4, 5, 8, 10 f(x) = elsewhere