The average number of visits to a particular fast foot restaurant in a given year by random sample of US adults The sum of the values when two six-sided dice are rolled The number of visitors to a park on a randomly selected day in March

The average number of visits to a particular fast foot restaurant in a given year by random sample of US adults The sum of the values when two six-sided dice are rolled The number of visitors to a park on a randomly selected day in March

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: A physics class has 40 students. Of these, 13 students are physics majors and 18 students are…

A: According to the given information, we have Total number of students = 40 Number of physics major…

Q: X and Y are two discrete random variables. If X and Y are negatively correlated, then: ož-y_ož + o3.…

A: It is given that the two discrete random variables are negatively correlated.

Q: Match each random variable expression with either a correct value or correct description. The alien…

A: Please find the solution below. Thank you

Q: Let of a loss due to damsge of insueed house and X be the payment by the insurance company. define…

A: Let Y: loss due to damage of insured house. Let X: Payment by insurance company.

Q: Consider two independent discrete Geometric(p) random variables X and Y (Definition 3.5). Find the…

Q: Show that if X and Y are two discrete random variables (i.e., elementary random variables) then ZX +…

A: The objective of this question is to prove that if X and Y are two discrete random variables, then Z…

Q: If the joint probability distribution of X1 and X2 isgiven by f(x1, x2) = x1x236for x1 = 1, 2, 3 and…

Q: Let Xn Exp(4), n > 1, be independent random variables. Estimate the probability that 1 S100 2

Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)}, where each point is assumed…

A: Given sample space is, S=(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4). Each point is equally likely.…

Q: The probability that a person in the United States has type B+ blood is 10%. Three unrelated…

A: Givenn=3p=0.1q=1-pq=1-0.1=0.9Let X=no.of people have B+ blood groupX~Binomial(n=3 , p=0.1)P(X=x)=3x…

Q: Let X and Y be discrete random variables with joint probability function: P( x, y ) = ( 2x + y )/12,…

A: Let X and Y be discrete random variables with joint probability function:P( x, y ) = ( 2x + y )/12,…

Q: In a flow system, the arrival rate to a particular station is 40 units per hour. The station has 4…

A: Given:- Average rate of arrival λ = 40 / hr. Average rate of service…

Q: Consider three types of claims: A, B and C. Let XẠ denote the rand variable for the size of a…

A: a) From the given information, An insurance company has a portfolio of policies with 10% of claims…

Q: find the probability that a random chosen point i in the figure lies in the shaded region.

A: The entire region is a equilateral triangle of side length=a=10 inSo the area of the…

Q: If X and Y are independent random variable find covariance between X+Y and X-Y. Answer:

A: Given that X and Y are independent random variables. We need to find covariance between X+Y and X-Y

Q: Let A1, A2 and A3 are 3 independent random variables each having a Uniform distribution in the…

A: Given Ai~U(0,1); i=1,2,3

Q: A quiz is made up of 4 questions, where correct answers earn 1 point and incorrect answers earn zero…

Q: x is a uniform random variable in the interval (x1,x2). Find the expected value of x

Q: There are 4 quarters and 3 dimes and 1 nickel in a coin pouch. Two coins are selected at random.…

A: Solution: Given: 4 quarters and 3 dimes and 1 nickel in a coin pouch Two coins are selected at…

Q: Compute the mean and variance of a random variable whose distribution is uniform on the interval [a,…

A: Given: Consider a random variable X following Uniform distribution with the range a and b. The…

Q: Let ξ and η be independent standard normal random variables. Find the distribution of X = ξ/η

Q: Let X1 , X2 , X3 be a collection of independent discrete random variables that all take the value…

A: Sampling distribution of proportion: From the central Limit theorem, the sampling distribution of…

Q: Let Z be the standard normal random variable. Let X1 = Z, X2 = -Z be independent random variables.…

A: We have given that, Z from the standard normal distribution with mean = 0 and variance = 1 i.e,…

Q: rove that the average number and the variance number (An) are equals for coherent state.

A: Solution

Q: Suppose that X is a geometric random variable with parameter π. Show that P(X = n+k|X > n) = P(X =…

Q: If x and y are two independent random variables, show that +y:x-y={:+}-{:*+), where r+y:x-y denotes…

Q: If X is a continuous random variable that takes on values between 10 and 40, then the P(X = 15.5) =…

A: We have given that X is a continuous random variable that takes on values between 10 and 40, then…

Q: de

A: X and Y are independent random variables each taking the values -1 or 1 with probability , P=12.…

Q: Let X and Y be two discrete random variables, where X takes values 0, 1, 2, 3 with probabilities…

A: Introduction Covariance is a measure of the relationship between two random variables. It tells us…

Q: If x" bin(n1,p) and x2~bin(n2,p) then find the distribution of x1|x1+x2 ; where x1 and x2 are…

Q: Construct the joint probability function of x1 and x2.

A: Given : A box contain 10 red ,12 green,14 white identical marbles. There are 10+12+14=36…

Q: Orders come into a pizza place by phone are either for cheese or pepperoni pizza. The time to…

A: Given that the mean time to process and cook a cheese pizza is 3 minutes, Rate parameter, μ=13 Then…

Q: An instant lottery ticket costs R3. Out of a total of 10000 tickets printed for this lottery, 1000…

A: From the given information, Consider, X be the random variable that denotes the total amount of…

Q: Let X and Y be independent discrete random variables and suppose that X+Y=2. Show that X and Y are…

A: The objective of the question is to prove that if X and Y are independent discrete random variables…

Q: Let P and Q be two independent Random variables with Var(P) = 5 and Var(Q) = 4. Find Var(7P+4Q-1).

Q: Let A, B, and C be independent random variables, uniformly distributed over [0,3], [0,2], and [0,4]…

Q: Let X be a continuous random variable, and let K be a countable set. Prove that Pr(X € K) = 0. Use…

A: X is continuous random variable. So, probability measurement of a single data point 0 P(X=x) = 0…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Determine whether each of the random variables is continuous or discrete.

The average number of visits to a particular fast foot restaurant in a given year by random sample of US adults
The sum of the values when two six-sided dice are rolled
The number of visitors to a park on a randomly selected day in March

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Professor Brown gives her students a maximum of three attempts to pass a final examination in her statistics course. She has found that the probability of passing on the first attempt is 0.40, the probability of passing the second attempt is 0.65 and the probability of not passing the third attempt is 0.15. Find the probability that a randomly selected student of hers will pass the final examination
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of “girls” (g) and “boys” (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is bbb, then R(bbb)=0. Suppose that the random variable X is defined in terms of R as follows: X=R^2-2R-1. The values of X are given in the table below.
A screening test for a particular infectious disease shows a positive test result in 90% of all cases when the disease is actually present, and in 10% of all cases when it is not. Assume that t% of the population is infected, where t is = 1. For a randomly chosen from the population person, find the probability that the person is actually infected if the test shows positive.
Let X,, X2, and X3 be independent random variables, each are binomially distributed with n = 100 and p = 0.2. Let A = X,– 2X2 and B = X3 + 3X1. Find PAB- %3D %3D
What does the memoryless property refer to? An event cannot occur if it has already occured within a recent specified time period. The distribution of the time until an event does not depend on how much time has already passed. The occurrence of an event is independent of the number of times that event has already occurred. None of the above.
Choose points from (0, 1) uniformly and add the numbers together. Stop this process when your add is greater than one. Let N be the random variable which is the number of points that you selected. Find E(N).
Two on and off valves are in parallel and act independently. They control the fluid that flows through the pipe. Suppose that valve A has a 60% chance of being off and a 40% chance of being on. Valve B has a 40% chance of being off and a 60% chance of being on. A Determine the probability that fluid flows through the pipe. Choices: 1, 0.76, 0.64, 0.36, 0.24, 0.16 Determine the probability that flue will not flow through the pipe. Choices: 1, 0.76, 0.64, 0.36, 0.24, 0.16
Let X and Y be two random variables such that Cov(X.Y) = -3 . Then %3D O None of these O cov(-3X+5,-3Y+5)=-18 cov(3X+5,-2Y+5)=18 O cov(5X+3,-2Y-2)=-20
Florida State University has 14 statistics classes scheduled for its Summer 2013 term. One class has space available for 30 students, eight classes have space for 60 students, one class has space for 70 students, and four classes have space for 100 students. Space is available for 980 students. Suppose that each class is ﬁlled to capacity and select a statistics student at random. Let the random variable X equal the size of the student’s class. Deﬁne the PDF for X. I. P(x) can be deﬁned as the probability that the size of the students' class is less than x II. P(x) can be deﬁned as the average size of the student's class. III. P(x) can be defined as the probability of the different size of the student's class, multiplied by the corresponding class size. IV. P(x) can be deﬁned as the probability that the size of the student’s class is equal to x.
Each of the random variables X and Y takes only 3 values {1,2,3} with the following probabilities: 1 1 0 1/6 1/6 y 2 1/6 0 1/6 3 1/6 1/6 0 2.