For a random variable X with standard deviation 5, Variance of 2x + 4 is Question 4Select one: a. 104 b. 20 c. 100 d. 24

Q: You are playing a simple card game with another friend, using a standard 52 card deck: four suits…

A: Total number of cards in standard deck = 52Number of cards from each suit = 13

Q: Let Y₁, Y2,..., Y25 be a random sample from the distribution f(y) 7(1-y)6 0<y<1 max(Y₁, Y2,...,…

A: Given that  be a random sample from the distribution

Q: Two fair six-sided dice are tossed simultaneously.   (a) Are the events “the dice land on the same…

A: (a) To determine if the events "the dice land on the same number" and "the two numbers sum to more…

Q: If you flip a coin 27 times. the flips are independent, and the probability of heads in each flip is…

A: Suppose a random variable X, defines the total number of heads while flipping a coin.The coin is…

Q: Kylie has 12 pieces of candy left in her Halloween bag. There are 8 pieces of chocolate and 4 pieces…

A: Given that Kylie has 12 pieces of candy in her Halloween bag,there are 8 pieces of chocolate and 4…

Q: Suppose you have a deck of 52 playing cards and you draw 2 cards at random (without replacement). a.…

A: A full house means 3 of one value card and 2 of another value card. Four of a kind means 4 cards of…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: The number of non-smokersThe number of smokers of one pack or less per dayThe number of smokers of…

Q: Recall that a permutation of {1, 2,..., n} is a one-to-one correspondence P from the set {1, 2, ...,…

A: Given that N be an integer whose digits are .

Q: The joint density function of the random variables X and Y is given to the right. (a) Show that X…

A: The joint density function of the random variables  and  is given by:

Q: 1. Customers arrive to the checkout area of New Navy a rate of 80 customers per hour. The inter-…

A:

Q: Two fair six-sided dice are rolled. What is the conditional probability that at least one lands on…

A: Two six-sided fair dice are rolled :Objective: Find the conditional probability that at leastone…

Q: Of 12 possible building sites for factories, 5 have buried toxic waste sites that no one told you…

A: It is given thatThe total number of sites = 12No. of toxic waste sites = 5

Q: [5] Consider the private information model collects private signals. This is the model we covered in…

A: e-2-1012P(e)0.10.10.20.30.3

Q: Hint. Let & be a discrete-valued r.v. with distribution {ao, a₁,...} and let X₁, X2, ... be…

A: To show that the sequence {Xn} is a time-homogeneous Markov Chain (MC), we need to demonstrate two…

Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.6, P(A U B) = 0.6.…

A: Given that

Q: b. In a game of matching coins with two players, suppose A wins one unit value when there are two…

A: The payoff matrix for A is seen to be :Since there is no saddle point, it is known that the optimal…

Q: Given X and Y are two events. LetP(XUY)=0.82, P(X) = 0.41, P(XY) = 0.22 Find the value of P(Y) P(Y)=

A:

Q: I have to submit this again...This is my third attempt.  Please explain as if you are explaining…

A: a. the probability of selling 15 cheesecakes in a given day is 0.07b. probability of selling at…

Q: 38% of college students say they use credit cards becuase of the rewards program.  You randomly…

A: Answer P = 38% = 38/100 = 0.38n = 10

Q: Consider a game with n ∈ N participants which are somehow ordered (P1, P2, ..., Pn). The game starts…

A: Given a game with  participants which are ordered (P1, P2, ..., Pn). The game starts with the first…

Q: Suppose you are flipping a coin until you get your first heads. The coin flips are independent, and…

A: A coin is flipped until the first head is obtained.The probability of head is 0.727.

Q: Consider a continuous random variable X such that P (−1 ≤ X ≤ 1) = 1/2. Can X be characterized by i)…

A: The objective of the question is to determine whether the given continuous random variable X can be…

Q: Suppose E and F are independent events with P(E)= 0.3 and P(F) = 0.6. (a) Given that E does not…

A: Given, E and F are independent events .And ,  P(E) = 0.3 and P(F) = 0.6we have to find the…

Q: In how many ways can four elements be selected from A such that their sum is less than 45?

A: The data set is given as follows:

Q: Which of the following games involving the roll of a single die is a fair bet A. Bet $1 and receive…

A: The question revolves around determining which of the given bets involving the roll of a single die…

Q: A coin with P(h)=p=1-q is tossed n times. Find the probability that the number of heads is even.

A: In solving the problem of finding the probability that the number of heads is even after tossing a…

Q: A convenience store has two separate locations where customers can be checked out as they leave.…

A: Given that g(x) be the marginal density of X.h(y) be the marginal density of Y.

Q: The reviews editor of a certain scientific journal found that the recent reviews 50\% are short,…

A: Given,The reviews editor of a certain scientific journal found that the recent reviews 50% are…

Q: Heights of women are normally distributed with a mean of 62.1 inches and a standard deviation of 2.3…

A: 0.79562Explanation:The required probability is P(X&lt;64) where X denotes the height of a woman.For…

Q: Lotteries The Sad State Lottery requires you to select a sequence of three different numbers from 0…

A: A sequence of three different numbers are to be selected from 0 through 40. Order of selection is…

Q: You roll a 12-sided die. Let A = {8, 9, 11} and B = {4, 7, 8, 11, 12). Find the following. S = {…

A: Given,You roll a 12-sided die.Let A = {8, 9, 11} and B = {4, 7, 8, 11, 12}

Q: Let continous random variable x taking on values over the set [0,a] and has a probability density…

A: It is required to find the value of the constant C.

Q: Consider the Monty Hall gameshow problem. Contestants are given the option of picking 1 out of 3…

A: Consider the Monty Hall gameshow problem. Contestants are given the option of picking 1 out of 3…

Q: A study conducted by the child mine institute found that children spend on average 5.5 minutes in…

A: The objective of this question is to find the probability that a randomly selected child spends more…

Q: In London, it always rains on the weekend (Saturday or Sunday), and there is a 50% chance of rain on…

A: The events are denoted as follows:: It is a Thursday, and: It is raining outside.The given…

Q: I need help with this please

A: The objective of this question is to find the mean and variance of the random variable X, which…

Q: A certain virus infects one in every 200 people. A test used to detect the virus in a person is…

A: Let A be the event that the person is infected.Let B be the event that the person tests…

Q: Let X be a continuous random variable with PDF fx(x) = { 5x4 0<x< 1 otherwise If Y = 1/X², calculate…

A: The  is a continuous random variable. The PDF is, Here, The objective is to find .

Q: rom a set of n items a random sample of size k is to be selected. What is the probability a given…

A: The total number of items (n)The size of the sample (k)

Q: Some components are connected in parallel, then the subsystem works if at least one component work.…

A: Given the diagram of the system is :- And ,P(component 1 work ) = 0.9P(component 2 work) =…

Q: b. What is the critical path? A-C-F-H A-D-G-H OB-E-G-H A-D-F-H c. What is the expected project…

A: Given,The following represents a project that should be scheduled using CPM:ACTIVITYIMMEDIATE…

Q: Consider a continuous random variable X with the following PDF: {: -1 ≤ x ≤0 or 1≤ x ≤ 3 otherwise…

A: Total area under the pdf curve should be 1. Or total probability must be 1.

Q: 3. The scores on the Wechsler Adult Intelligence Scale are approximately Normal with mean 100 and…

A: Given data:Mean Standard deviation Raw score The z-score formula is given by:​

Q: Is any subspace of a vector space convex? Justify your answer by giving a proof or a counterexample.

A: The objective of this question is to determine whether any subspace of a vector space is convex and…

Q: The average annual return over the period 1926-2009 for the S&P 500 is 12.0%, and the standard…

A: Given,Average annual return = 12.0% = 0.120Standard deviation of returns = 21.3% = 0.213Here, we…

Q: Suppose that the weather in NYC is either sunny (S), rainy (R), or cloudy (C) (with no rain). By…

A: There are 3 possible states of weather - Sunny, Rainy and Cloudy.If it is sunny on a day,…

Q: The table below shows the respective probabilities that a number of power failures will strike a…

A: Answer Given,E[x] = 1.3Z = 7x + 2

Q: Consider a game in which a coin will be flipped three times. For each heads you will be paid $100.…

A: A coin flipped three times , P(head) = 2/3 P(tail) = 1 - P(head) = 1 - 2/3 = 1/3 For each head you…

Q: I need the answer for this question

A: In a standard deck, there are  cards. There are four different suits, diamond, heart, club, and…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: From the given information ,Total respondents = 201 + 296 + 376 + 138 + 117 .…