n people are seated around a round table (n ≥ 3) and each person rolls a fair twelve-sided die. If a person rolls a prime number and the neighbor on either side of them does NOT roll a prime number, the person gets a prize. Let X be the R.V. that denotes the number of people who receive prizes. Find E(X).

Q: If two dice are​ rolled, how many ways are the two numbers​ different?

A: Answer :- We know that dice has 6 number from 1 to 6  Two dice are rolled , then total outcomes =…

Q: (3) The table below contains the length and weight w of a set of 5 fish. Each column represents a…

A:

Q: none of the electrical vehicles are defective? (ii) two or fewer of the electrical vehicles are…

A: AS PER POLICY I HAVE CALCULATED 3 SUBPARTS   A manufacturing company always performs the quality…

Q: 20% of the teenagers in a city think that shopping malls close too early. In a sample of 100,…

A: Answer: Using the given data, 20% of the teenagers in a city think that shopping malls close too…

Q: An online used car company sells second-hand cars. For 30 randomly selected transactions, the mean…

A: Sample size (n)=30 Sample mean=2400  Population standard deviation =110  We have to find a.. 99%…

Q: Problem 6. Suppose (X₁, X₂) have joint density (1₁,1₂)= [6x₁1² 0<x₁ <1,0< x₂ <1 0 otherwise. a) Find…

A: a) To find the joint density of (Y1, Y2), we need to use the transformation method. Let g(Y1, Y2) be…

Q: When two fair dice are rolled, 36 equally likely outcomes are possible as shown  below. (1, 1) (1,…

A: Given that  X = Maximum of the numbers shown on the dice. And A is an event that X is an even number…

Q: Apply the pigeonhole principle to answer the following questions. If the pigeonhole principle cannot…

A:

Q: Let X be a continuous random variables with with the following probability density function. I…

A: The probability density function is given as- fx=x1+x2   ,0&lt;x&lt;e2-1

Q: For each problem, select the best response. (a) Suppose you collect a SRS of size n from a…

A: We have to determine which statement is correct choice.  NOTE:- According to bartleby guidelines…

Q: Three cards are randomly taken out of the following 50 cards. What is the probability none of the…

A: Here  Total No of cards =50 Now No of cards Except C = 50- 10 = 40

Q: Ebon will be inviting 50 friends, and they will be reaching the island on Ebon's huge private yacht.…

A:

Q: The probability that a person catches a cold during the cold and flu season is 0.4. If 10 persons…

A: We have Given that Probability (p )= 0.4number of person (n) = 10 Here we will use binomial…

Q: Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: You select a marble without looking and then put it back. If you do this 12 times, what is the best…

A: Given 6 marbles in which there are  Number of red marbles= 5  Number of purple marbles= 1  Then…

Q: Let X be an arbitrary random variable with mean and standard deviation o. Let X be its sample…

A: Let X be an arbitrary random variable with mean μ    &amp; Standard deviation σ n=100

Q: There are 10 yellow marbles, 12 red marbles and 8 white marbles in a box. If one marble is…

A: Answer: From the given data, Number of yellow marbles in the box = 10 Number of red marbles in the…

Q: According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass…

A: If we assume that the events of a mass squirrel uprising and cats and dogs signing a peace treaty…

Q: mg Calcium is essential to tree growth in 1990, the concentration of calcium in precipitation in…

A: We need to state the Null and the Alternative Hypothesis for this problem. To do so, we note, that,…

Q: Three cards are chosen from a deck. without repetition what is the probability of choosing 3 cards…

A: Three cards are chosen from a deck. There are 52 cards in a deck. There is a total of 4 suits in a…

Q: A jury pool has 23 men and 23 women, from which 12 jurors will be selected. Assuming that each…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The following data are the result of a historical study of the number of flaws found in a porcelain…

A: As per our guidelines we are suppose to answer only one questionkindly post the remaining question…

Q: Draw the cumulative distribution functions of the following distributions: (a) A continuous random…

A: Let X be a continuous uniform distribution Ua,b, then the probability density function of X is given…

Q: Let X be a continuous random variable with cumulative distribution function where A and B are…

A: F(x)=A-Be-4x  ;x&gt;10                   x≤1 The PDF of X is obtained by differentiating F(x) with…

Q: 7.1-11. The heart rates (in beats per minute) of 41 ran- domly selected finishers of the Chicago…

A: x=132n=41s2=105s=10.247

Q: Suppose the number of orange M&Ms in a bag are normally distributed with a mean μ= 13 and a standard…

A: First, let's define the problem in mathematical terms: Let X be the number of orange M&amp;Ms in a…

Q: How many ways are there to draw three winners out of 200 people

A: There are total 200 people involved.  Here order for  selection is matter so we will use…

Q: You have a bag of marbles and there are 5 Red, 7 Green, 2 Blue, 6 Yellow marbles. If you choose one…

A: There is 5 Red, 7 Green, 2 Blue, 6 Yellow marbles.

Q: Urn A contains one red ball and four white balls and Um B contains three red balls and one white…

A: a) Let's first determine the possible distributions of red and white balls in each urn. Urn A can…

Q: Suppose the number of orange M&Ms in a bag are normally distributed with a mean = 13 and a standard…

A: From the provided information, Mean (µ) = 13 Standard deviation (σ) = 1.67 X~N (13, 1.67)

Q: Problem 6. Suppose (X₁, X₂) have joint density f(x1, x₂) = [6x₁x² 0<x₁ <1,0 < ₂ <1 otherwise. a)…

A: a) To find the joint density of Y1,Y2, we first need to find the joint density of X1,X2 in terms of…

Q: The Alhambra will be housing 4 guests from the US, 3 from IN, 2 from LK, and 1 from FR. a) In how…

A: 4 guests from US,  3 from IN, 2 from LK 1 from FR  we have find a..how many different ways can the…

Q: 2. A random variable X has a probability density function of the form Ct 0 ≤t≤1 1≤t≤2 C C(3-t) 2≤t≤3…

A: Given a random variable X with PDF given as:   f(x)=         Ct                    0≤t≤1C…

Q: A simple random sample of size n is drawn from a population that is normally distributed. The sample…

A: x¯=106s=10

Q: To test whether the mean time needed to mix a batch of material is the same for machines produced by…

A: (a) There is no evidence to conclude that population mean times for mixing a batch of material…

Q: A Bayesian network has four variables: C,S,R,W, where -- C is independent, with P(C)=0.5 -- S is…

A: a) The possible states of the world for this Bayesian network are: C=true, S=true, R=true, W=true…

Q: 7.1-2. A random sample of size 8 from N(μ, 72) yielded x=85. Find the following confidence intervals…

A: According to the Bartleby guidelines expert solve only one question and maximum three subpart of the…

Q: You're trying to get an interval estimate (a Conf. Interval) for the average temperature of patients…

A: It is given that- Sample size: n=49 sample mean: x=100.1 Population standard deviation:σ=1 The…

Q: Solve the following Matrix Logic problem. Ted, Ken, Allyson, and Janie (two married couples) each…

A: Based on the given clues, we can make the following deductions:   1.Ted hates golf, so he can't be a…

Q: What is the probability of getting the exact order of Tails, Heads and Tails in three consecutive…

A: Lets assume a fair coin have been tosses the probability of getting Head or Tail will be =0.5

Q: Find the odds against obtaining the following outcome. one of the face (picture) cards (jack, queen,…

A: From the information, it is clear that there is a total of 52 cards in a deck of cards among which…

Q: If probability of choosing a red chip from a bucket is 0.39, what is the probability of not choosing…

A: Answer: From the given data, Let A is the event of choosing a red chip from a bucket The probability…

Q: 2. Let X be a continuous random variable with cumulative distribution function P(x) = { ₁-0 + -6x e…

A: The CDF of random variable X is given as: F(x)=1-e-6x    ; x&gt;00                 otherwsie…

Q: If a number is chosen randomly from the set of numbers {1,2,3,4,...,10} find the probability of…

A: If a number is chosen randomly from the set of numbers {1,2,3,4,...,10} Prime number = 2,3,5,7

Q: A game costs $2.00​ to play. In the game, the player picks a card at random from a standard deck of…

A: A game costs $2.00​ to play. In the game, the player picks a card at random from a standard deck of…

Q: An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers.​ So, 28 adult…

A: Answer  Given  a mean of 178 lb. and a standard deviation of 28lb.

Q: 1. Let X be a continuous random variable with probability density function Compute E(X). f(x) = 0…

A:

Q: Find the density of Z = X-Y for independent Exp(λ) random varibles X and Y. Show all Work!!

A: X and Y are independent random variables each with  Exp(λ)

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: (a) Construct a discrete probability distribution for the random variable x. (games played P(x)

A: