A random variable that takes on a finite or countable infinite number of values is called... discrete random variable O both a and b of them

Q: If z is a standard normal random variable, find the probability of each event:   a)   P(z > −0.39)…

A: Use left tailed z table to answer them. (a) Pz>-0.39=1-Pz≤-0.39=1-0.3483=0.6517

Q: Let the random variable X denote monthly rainfall in Indiana in inches. X-N(3.38, 2.46). What is the…

A:

Q: Answer the followings: i) Sanjay, Ajay, and Anushka are employees of company that has branches in…

A: Given: Sanjay, Ajay and Anushka are three employee of three city. So, the cases will be: 1. All of 3…

Q: Consider a random variable, Z, where Z-N(0, 1). Which of the following statements are true? Select…

A:

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A: Given that,  E(X) =-9 , E(Y) =-5, E(Z) =-1 Var(X) =3, Var(Y) =1, Var(Z) =34

Q: 1) Determine if the following are continuous or discrete random variables: a) The amount of money…

A: We have Discrete random variable: A variable that takes countable no. of possible values. Continuous…

Q: Let X be a discrete random variable and Y be a continuous random variable. Which of the following…

A: Let us consider the X to be a discrete random variable and Y to be a continuous random variable. We…

Q: Q1: Suppose that discrete random variable X~unif [1,2,3]. A random sample of n=36 is selected from…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Assume that 12 jurors are randomly selected from a population in which 77% of the people are…

A: Suppose that, the random variable X defines the number of Mexican-Americans jurors.

Q: Assume the random variable x is P(73<x< 82) P(73<x<82)= (Round to four decimal places a %3D

A: Given data,μ=88σ=5P(73&lt;X&lt;82)=?

Q: Assume that 12 jurors are randomly selected from a population in which 86% of the people are…

A: The probability of exactly 7 Mexican Americans among 12 jurors is obtained below: P(x=7)=0.0148.

Q: (a) Suppose that 20 % persons in a large group of people are obese. If persons are checked one by…

A:

Q: uppose that the genders of the three children of a certain family are soon to be reveale rite gbg,…

A: We have given that R be a random variable counting the number of girls in each outcome. Suppose the…

Q: 10. In a long production run, 1% of the components are normally found to be defective. In a random…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: All of the following are examples of discrete random variables except _ population of a city O time…

A: We have given the following statement about the discrete  random variable.  Note: According to…

Q: Let S be a sample space and two mutually exclusive events A and B be such that AUB = S. If P(-)…

A: Given that S is a sample space and A and B are mutually exclusive events.

Q: a. The expected value of a sum of a finite number of random variables is the sum of the expected…

A: a)X1,X2...,Xn be finite number of random variable E(X1+X2+...+Xn)=E(X1)+...+E(Xn) Expected value of…

Q: The probability of being chosen in a simple random sample of size n from a population of size N is…

A: Given that, The probability of being chosen in a simple random sample of size n from a population of…

Q: 2. A manufacturing process that produces electron tubes is known to have a 10% defective rate.…

A: (a)   Obtain the probability that no more than two defectives are found.   The probability that no…

Q: If x is a binomial random variable with n=10 and p=0.8, what is the probability that x is equal to…

A: The pmf of the binomial distribution is defined as: P(X=x) = nCxpx(1-p)x      (X=1,2,3,.....)

Q: Let X be a random variable such that X B( 12,8/9).

A:

Q: An auto sales person sells an average of 1.7 cars per day. Which of the following statements are…

A: If the rate of occurrence of successes is constant with time, then the number of successes over a…

Q: Which of the following is/are requirements for a Poisson random variable? the probability p of a…

A: Poisson distribution: A random variable X is said to have a Poisson distribution with a parameter λ…

Q: Which of the following statements is true? Choose the correct answer: a. The set of numbers between…

A: Option  a is correct. Explanation : set of numbers between 1 and 5 is a discrete random variable…

Q: A wholesaler in apples claims that 4% of the apples supplied by him are good. A random sample of 500…

A: Sample size=n=500 and number of bad apples=x=32. 4% of the apples were good and 96% are bad. Then…

Q: 5% of all tires produced by company A has defect. What is the probability that the first defect is…

A: Let X be a random variable such that X: Number of defected tires detected X~Bin20, 0.05

Q: According to the American Diabetes Association, 34.2 million Americans, or 10.5% of the population,…

A: We have given that  Sample size n=100 , success of probability  p=10.5%=0.105 In M.S excel…

Q: 2. Which of the following random variables isn't discrete? the number of children in a family b. the…

A: Our aim is to find the correct option.

Q: w. Determine if the random variables are statistically independent considering f (2, 1).

A: here given ,  joint distribution of x and y  two variables are statistically independent when f(x,y)…

Q: Let A, be a sequence of disjoint events, 1 < n < ∞, in a probability space, with P(An) 2. Let X be a…

A: Here few mathematical concepts has been used .I have explained it clearly. Have a good day.

Q: Suppose that the number of minutes for a group of trained policemen to address a crisis is a random…

A:

Q: Which of the following is the probability distribution of a discreet random variable A: Sum of two…

A: Option. D is the correct answer

Q: (a) Assume that X is a geometric random variable with p=0.62. Compute P(X > 15|X > 10).

A: According our policy we can answer only first part for remaining please repost the question.

Q: . 65% of the population of a town is over 20 years old. If a random sample of 30 p the probability…

A: Given: p=probability of success=65%=0.65 n=sample size=30 We need to find P(X≥18). The formula of…

Q: The probability of the sample space S is always less than 1. Select one: O True O False

A: The answer is : False. Explanation: A sample space is a collection of all possible outcomes of a…

Q: An insurance company issues 1250 vision care insurance policies. The number of claims filed by…

A: Given information: There are 1250 vision care insurance policies. That is, n=1250

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A:

Q: is this statement true or false   The probability of any possible value in a discrete in a…

A: Here is the solution.

Q: .123 The random variable Y has a Poisson distribution and is such that p(0) = p(1). What is p(2)?

A: Given that : Y has a Poisson distribution and  P(0) = P(1)  By using this information we calculate…

Q: Let X be a random variable such that P(X) = 0.25 for x = 1, 2, 3, 4| .What is |P(5) ?

A:

Q: let X be a random variable and X is normally distributed such that (p = 35), (o = 4) then: P(36 < x<…

A:

Q: f X is a geometric random variable with p=0.70 hen p(x=2) =

A:

Q: a. Is the number of people in a restaurant that has a capacity of 250 a discrete random variable, a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: if X is a geometric random variable with p = 0.60 then p(x<2) = O none 0.60 O 0.24 O 0.40 O 0.70

A: We have to find given probability.

Q: Assume that 12 jurors are selected from a population in which 50​% of the people are​…

A:

Q: Assume that 12 jurors are randomly selected from a population in which 86% of the people are…

A: x P(x) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0004 6 0.0028 7 0.0148 8 0.0569 9 0.1553…

Q: Let X be a random variable with the following PMF: X = k k=-5 k=-2 k=0 k=2 k=5 P(X=k) 0.3 0.05 0.05…

A: Given X is a random variable with pmf: X=k k=-5 k=-2 k=0 k=2 k=5 P(X=k) 0.3 0.05 0.05 0.2 0.4…

Q: The daily number of orders filled by the parts department of a repair shop is a random variable with…

A: Let the random variable X have mean μ and standard deviation σ. The Chebyshev’s inequality states…

Q: 1. The number of meteors found by a radar system in any 30-second interval under specified…

A: Given :  The number of meteors found by a radar system in any 30-second interval under specified…

Q: 7. Test the hypothesis that the following set of 200 numbers are 'random digits', that is, each…

A: The question is about categorical data analysis using chi square test Given : To test the hypo.…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: