Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is the probability mass function (pmf) and FX(x) is the cumulative distribution function (cdf) find: 1. pX(4) 2. Fx(7)

Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is the probability mass function (pmf) and FX(x) is the cumulative distribution function (cdf) find: 1. pX(4) 2. Fx(7)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: (a) Obtain the probability that a randomly selected person has received four tickets in a…

Q: Suppose the probability distribution for X = number of jobs held during the past year for students…

Q: uppose that the random variable xx, shown below, represents the number of speeding tickets a person…

A: given: x P(x) 0 0.3525 1 0.3221 2 0.1689 3 0.0811 4 0.0402 5 0.0352 6+ 0.0000

Q: Consider the joint probability distribution: X 1 2 Y 0 1 0.30 0.25 0.20 0.25…

A: Consider two random variables x and y, suppose x is a sex of a person as well as whether…

Q: A convenience store has made up 20 grab bag gifts and is offering them for $2.00 a bag. Ten bags…

A: The question is about probability distribution.Given :Total no. of bag gifts = 2010 bags are of…

Q: Let F(z) be the cumulative distribution function (cdf) of a random variable X. Which of the…

A: Based on the property of cumulative distribution, P(a<X<b) = F(b) - F(a) F(a) + P(a<X<b)…

Q: P(x) x*P(x) 0.10 2 0.10 3 0.15 4 5 0.25 0.10 0.10

A: Given that a ballet instructor is interested in knowing what percent of each year's class will…

Q: For a probability distribution X, if E(X) = 0.35 then E(3X-2) = Select one: O 1.05 O -1.05 O 0.95 O…

A: Assume that X is a random variable.

Q: Find the probability distribution for Y. The table for the probability distribution of Y may have…

A: Here, Y = X^2 + 1

Q: Suppose that a pair of fair dice are to be tossed, and let the random variableX denote the sum of…

A: A pair of fair dice to be tossed.The possible outcomes are 62 = 36The sample space is,S={ (1, 1),…

Q: Y 1 2 4 8. 16 |P(y) 0.05 0.10 0.35 0.40 0.10 Construct the cumulative distribution function.

Q: Recall the given data. Quality (x) 1 2 3 Total Meal Price (y) 1 45 42 36 9 2 3 Total 3 57 66 159 12…

A: Each probability f(x, y) will be calculated using the formula below. f(x,y)=number of times × and y…

Question

Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If p_X(x) is the probability mass function (pmf) and F_X(x) is the cumulative distribution function (cdf) find:

1. p_X(4)

2. F_x(7)

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Calculation of probability distribution of x

VIEW

Step 3: Calculation for part(1)

VIEW

Step 4: calculation for part(2)

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 11 If you added 2 days to each value in the Days (x) column, the variance of days to completion will be _________. a 3.428 b 2.784 c 1.428 d 1.142
Consider the joint probability distribution: X 1 2 Y 0 1 0.70 0.00 0.00 0.30 a. Compute the marginal probability distributions for X and Y.b. Compute the covariance and correlation for X and Y.c. Compute the mean and variance for the linear function W = 3X + 4Y.
Solve the following problems properly. A shipment of 8 television sets contains 3 defective sets. A hotel makes a random purchase of 4 these sets. If X is the number of defective sets purchased by the hotel, find (a0 the probability distribution and (b) the cumulative distribution of X. Using F(x), find (c) P(X = 2) and (d) P(0 < X <3).
In a football match, the winning team is given 2 points, and 0 point for the losing team. If the result is draw, 1 point is given to each team Assume X is the total number of points eaned after two matches. 5. (a) Construct a probability distribution function of x. (b) Find E(X) and Var (X) (c) Find the probability thata team wins in both matches. (d) Evaluate E (2X - 1).
Test the following function to determine whether it is a probability function. (Give your answers correct to two decimal places.) P(x) = x2 + 5 50 , for x = 1, 2, 3, 4 (a) List the probability distribution. P(1) = P(2) = P(3) = P(4) =
al The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given by 1 0.37 3 2 4 0.41 0.16 0.05 0.01 Construct the cumulative distribution function of X. 0?
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If X is the number of defective sets purchased by the hotel, (a) find the probability distribution of X, express it in a table format. Probability distribution of X X P(X) (b) Find the cdf of X. (c) Find the E(X) and Var(X)
The random variable X represents the number of children per family in a rural area in Ohio, with the probability distribution: p(x) = 0.05x, x = 2, 3, 4, 5, or 6. 1. Express the probability distribution in a tabular form. 2 3 4 6 P(X)
Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=
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
Find the probability P(Ec) if P(E)=0.17.
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