Q9) In University of California among the placement cell, P(students getting placed )=2n/9, P(students not getting placed )=1/3. Find the value of n?

Q: Auto vehicles arrive at a petrol pump with one petrol unit in Poisson fashion, averaging 10 units…

A: The objective of the question is to find various parameters related to the queuing system at a…

Q: A manufacturer obtains clock radios from three different subcontractors 10% trom A 30% from B. and…

A: The three subcontractors are A, B, and C.The percentage of clock radios obtained from three…

Q: Complete the following probability distribution table: Probability Distribution Table X -29 17 48 90…

A:

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: What about for questions d,f,h and L?

A: d)This passage do present an argument. The argument can be restated in standard form as follows: P1:…

Q: A private pilot wishes to insure his airplane for $400,000. The insurance company estimates that a…

A: The loss is the entire value of the airplane, which is $400,000. average profit of $800First, we…

Q: Define the discrete random variable, Xn (w), as follows: Xn = Ei=1<x<} * Show that for every w N,…

A: To show that for every ω ∈ Ω, Xₙ(ω) ↑ X(ω) as n → ∞, we need to prove that Xₙ(ω) is a monotonically…

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: Problem 1: Suppose that 15% of nonsmokers have Type 2 diabetes, whereas 45% of smokers have Type 2…

A: 1) According to the given information,15% of nonsmokers have Type 2 diabetes. That is, P(Type 2 |…

Q: 2:34 AM Tue Feb 20 Chapter Score: 9/25 10/25 answered 4 - Discrete Prodadility Distributions…

A: The objective of this question is to find the probability that a baseball player with a batting…

Q: Proof The triangular (a, c, b) distribution has probability density function 2(r-a) (b-a)(c-a)…

A: The triangular(a,c,b) distribution has probability density function:

Q: What is the probability that a server will refuse to serve alcoholic beverages to only 3 minors if…

A: The information provided in the question are as follows :-Total number of patrons (N)=11Total number…

Q: A pizza restaurant sells pizzas in three sizes, and a customer can choose up to three toppings,…

A: The objective of this question is to find out the total number of pizza configurations possible…

Q: (b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).

A: Here given random variables are Joint pdf is given in table…

Q: Prove that E[X2] 1} + |X|I{\X\<1}.

A: The objective of this question is to prove that if the expected value of the square of a random…

Q: A pair of dice is rolled 50 times. Find the probability of obtaining double six at least three…

A: The objective of this question is to find the probability of obtaining double six at least three…

Q: 4. Consider a lottery ticket with 60 numbers. To buy a ticket, you need to choose 5 of these…

A: A lottery ticket has 60 numbers.5 numbers are to be chosen to buy a ticket.Each lottery ticket costs…

Q: For the cumulative distribution function, find a. U b. P(x> 2) c. F(x= 6) d. P(x = 6) e. f(x = 4) f.…

A: The cumulative distribution function of x is given as:

Q: Use the probability mass function of a uniform random variable with parameters a and b to find its…

A: Here we use the probability mass function of a uniform random variable with parameters a and b to…

Q: In Orange County, 51% of the adults are males. (It doesn't take too much advanced mathematics to…

A: 51% of adults are males and 49% are females.One adult is randomly selected.

Q: Measurements of scientific systems are always subject to variation, some more than others. There are…

A: Given,

Q: Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with…

A: Given,Event A occurs with probability 0.2. That is, P(A) = 0.2 Event B occurs with probability 0.3.…

Q: 5. Suppose events A, B, and C are mutually exclusive and P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4. For…

A:

Q: 100 integrated circuits of type A, 200 of type B, and 300 of type C are mixed together. Type A chips…

A: The objective of the question is to find the probability of a chip being defective when selected at…

Q: In a Monte Carlo simulation, which of the following has a zero probability of assuming any…

A: Monte Carlo simulation is a computational technique used to model and analyze complex systems or…

Q: Example: If one die is rolled, find the probability that the first "4" occurs on the eighth roll.…

A: A single die is rolled, and its outcomes are written as follows:

Q: A coin with p{h} = p = 1 - q is tossed n times. Show that the probability that the number of heads…

A: The objective of this question is to prove that the probability of getting an even number of heads…

Q: The table shows the number of video games sold worldwide for the five highest-selling video games in…

A: five highest selling video gamesgamesgames soldgame 118 480 000game 216 960 000game 311 410 000game…

Q: Complete the following probability distribution table and then calculate the stated probabilities.…

A: The given table is:OutcomeabcdeProbability0.20.070.50.03

Q: Suppose you distribute 5 books that are randomly selected from 10 different books you have. There…

A: a) To calculate the total number of ways to distribute the books, we need to consider two separate…

Q: Suppose we ask a basketball player to shoot 4 free throws. Let the random variable of interest x…

A:

Q: Twenty children are to be divided into an X team and a Y team of 10 each. The X team will play in…

A:

Q: Let {Xn} be a homogeneous MC with the TPM P = - (1 -12 0 . Find the probability p12.

A: A Markov Chain   with the transition probability matrix (TPM) is given by:

Q: How many sequences of 5 letters satisfy all three of the following conditions? • All 5 letters must…

A: Sequences of 5 letters should satisfy all three conditions:1) All 5 letters must be distinct.2) At…

Q: Problem #1 Gym Membership A local gym decided to reward a random member a year's free membership as…

A: SilverGoldDiamondFemale14523771Male17218495

Q: 4. To find out the opinion about the use of ture, of which 195 use them, while irales, a random…

A:

Q: Explain why each statement might be true or might be untrue. Tell if each is an example of inductive…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Exercise: New Projects A: Project in Los Angeles can be completed in one year. B: Project in San…

A: The probabilities are:  and .

Q: . Courtney has 36 photos to arrange on a gallery wall. Part A How many arrays can Courtney make with…

A: Courtney has 36 photos to arrange on a gallery wall

Q: The accompanying data are from an article. Each of 307 people who purchased a Honda Civic was…

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

Q: In a certain small town, 3 professional burglars are currently out of prison: Alex, Becky, and Carl.…

A: The events are denoted as follows:: Alex committed the burglary: Becky committed the burglary: Carl…

Q: A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let…

A: It is given that the probability of players makes free throws is 0.70.

Q: The mean of Binomial distribution is 80 and standard deviation is 8.The value of n is ____

A:

Q: You have three bags of marbles, as shown below: the first has 3 blue marbles and 1 redmarble, the…

A: The objective of this question is to calculate the probability of drawing a red marble from a…

Q: The following are the ratings of men by women in an experiment involving speed dating. Use the given…

A: Arranging Observations in the ascending order, We get…

Q: For the probability distribution, find a. X b. P(y> 2) c. F(y= 6) f(y) = 0.10, 0.15, 0.20, X, 11 =…

A: y-2-1012f(y)0.050.100.150.20x

Q: If P (not B) = 0.55, P (A ∪ B) = 0.75, and A and B are independent events, then find p (A)

A:

Q: Assume the random variable X has a binomial distribution with the given probability of obtaining a…

A: Given ,The random variable X has a binomial distribution with the parameters  n = 6 p = 0.6 We have…

Q: The proportion of people who respond to a certain mail-order solicitation is a random variable X…

A: Given, the probability density function of X is

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: