A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose: a) 25 candies? Answer = (b) 25 candies with at least a piece of each flavor? Answer = (b) 25 candies with at least 4 cherry and at least 6 lemon? Answer= You may use the notation C(n,k) for the binomial coefficient (), but it is not mandatory to use such notation in your answer.

Q: Find X2 (the probability distribution of the system after two observations) for the distribution…

A: The X2 can be find using the relation, Xn = Tn.X0 Where,  T = transition matrix. Now, for X2 we…

Q: 3. Six cups and saucers come in pairs: there are two cups and saucers which are red, two white, and…

A: The following information has been provided:Six cups and saucers come in pairs There are two cups…

Q: such a way that all men are next together and all women are next together? (a) How many ways are…

A: Given 6 men  6 women seated around a round table in such a way that all men are next together and…

Q: Let {Xr: r≥ 1} be independent and identically distributed with distribution function F satisfying…

A:

Q: Problem 2. A carton of 24 light bulbs includes three are defective. If two of the bulbs are chosen…

A: We have given that  A carton have 24 light bulbs  3 are defective 21 are not defective We have to…

Q: Prove that P(A | B) = P(B | A)P(A)/P(B) whenever P(A)P(B) 0. Show that, if P(A | B) > P(A), then P(B…

A:

Q: Find area to the right of z= 2.53

A: Find  P(Z>2.53)=?

Q: There are 2 sharpeners, 2 pencils,5 erasers and 4 notebooks. In how many ways a shopkeeper can…

A: Given Information: There are 2 sharpeners, 2 pencils,5 erasers and 4 notebooks. Required: To find…

Q: Maria needed 8 gallons of gas to fill her car's gas tank. The mileage odometer read 37,100 miles.…

A: We have given that At the start of the trip, her car needed 8gallons to be filled

Q: There are four boxes, each containing five coats: a red coat, a blue coat, a green coat, a yellow…

A: There are total 5 coats then probability of selecting any coat is p= 1/5  There are 4 people who…

Q: 22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. A…

A:

Q: In an article in the Journal of Management, Joseph Martocchio studied employee absences from work at…

A: Given Mean=1.4 Standard deviations=1.3 n=50

Q: Find area left to z= 2.35

A: Followings are the Explanation of the question Let Z be the Standard Normal Variable follows the…

Q: home insurance. Its basic policy costs $ 1200 for a year and it pays out $100,000 in case of fire…

A: Given  Basic policy costs $ 1200 for a year it pays out $100,000 in case of fire damage to a home.…

Q: Classify these events. A study found that people who suffer from stress are more likely to have…

A: Given that  A study found that people who suffer from stress are more likely to have health issues.…

Q: Suppose

A:

Q: A coin is tossed repeatedly, and heads turns up with probability p on each toss. Let hn be the…

A:

Q: Let X1, X₂,... be independent variables each taking the values 0 or 1 with probabilities 1 - p and…

A:

Q: The colour of a car would be considered which type of data

A: There are two types of data: Quantitative and Qualitative. Quantitative data consists of numerical…

Q: In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors…

A:

Q: Arc sine law for maxima. Consider a symmetric random walk S starting from the origin, and let Mn =…

A:

Q: Chi square. Show development for the solution Obtain the Chi-square value from tables for the…

A: Obtain the Chi-square value from tables for the following values ​​of a sample: a) α = 0.05 and n =…

Q: If n-470 and p (p-hat) -0.25, find the margin of error at a 99% confidence level Give your answer to…

A:

Q: Chi square test. Show development for the solution A pharmaceutical company wants to determine…

A: n=20s2 = 20.98α = 0.05 claim : σ2>15

Q: A researcher surveyed the households in a small town. The random variable X represents the number of…

A:

Q: The diameters of oranges from a Florida orchard are normally distributed with mean μ = 3.2 inches…

A: The population mean is 3.2. The population standard deviation is 1.1. We have to find the…

Q: 4. Suppose (X, Y) has joint p.d.f. fx,x(s, t) = le-sμe-μt (a) Compute the marginal p.d.f. of X (b)…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Given that the variances of random variables X and Y are 400 and 900, respectively. The correlation…

A: Basic

Q: A coin which has probability 0.56 of coming up Heads is tossed three times. Let ?Y be the number of…

A:

Q: Can anyone solve 3 problem

A: this problem we have the binomial distribution P(X=x)=nxpxqn-x From given data we have : n=5 p=0.6…

Q: The Simple Linear Regression relationships of Systolic Blood Pressure (SBP) on Age (in years) yields…

A: Here in this regression equation, intercept is 199.30 Option four is correct interpretation of the…

Q: What are the probabilities P1, P2, P3 for the router failing not earlier than tB = 500h for the…

A: Let X be the time until failure is approximately well estimated with an exponential distribution…

Q: When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38…

A: There are total 38 slots, n= 38  The outcomes in which we win the bet are 14,15,16,17,18,19  n(W)= 6…

Q: A traffic study has shown that the probability that 5 cars will pass over a small bridge in a…

A: given data  P(5 cars will pass over a small bridge in 4 minutes) = p = 0.16 odds agaiast exactly 5…

Q: Show that a sheet of paper of area A cm² can be placed on the square lattice with period 1 cm in…

A:

Q: 3. (a) How many permutations of the letters ABCDEFGH does there exist? (b) How many permutations of…

A: Given Letters= 8

Q: Twenty-five percent of the academic staff of a large faculty are non-teaching academic staff. A…

A:

Q: Problem 3. Suppose a test for detecting a certain rare disease has been perfected that is capable of…

A:

Q: 9. Represent the following relations on A = {1, 2, 3, 4, 5, 6} using a matrix and a digraph. (a) R =…

A: Given that ,  A = { 1,2,3,4,5,6}

Q: Suppose that X₁, X2, X3 are independent and identically distributed random variables with…

A: Given Cdf  F(x)=1-2-x; x≥0

Q: C1. A collector wants to collect football stickers to fill an album. There are n unique stickers to…

A: Geometric distribution: The geometric distribution gives the probability that the first occurrence…

Q: 39,40,41

A: Given Information: Mean μ=256 Standard deviation σ=12.5

Q: For a certain survey, software reports the results shown below for responses on the number of times…

A: Given that, Sample size (n) = 240  Mean = 4.4  Standard deviation = 2.9

Q: Eight pawns are placed randomly on a chessboard, no more than one to a square. What is the…

A:

Q: Suppose X is uniformly distributed over [0, 5] and Y is uniformly distributed over [0, 4]. Given…

A: Given that,  X~ U(0,5)  then pdf of X is given by,  f(x)= 1/(5-0)  = 1/5 ; 0<x<5  Y~ U(0,4)…

Q: A manufacturing company uses an acceptance scheme on items from a production line before they are…

A:

Q: 14. The probability of a sure event is approximately one. TRUE O FALSE

A: We have to check whether the given statement is True. Note : Since you have asked multiple…

Q: Giving a test to a group of students, the grades and gender are summarized below A Male Female Total…

A: IF one student  was chosen at random,  we have to find out the probability that the student was male…

Q: Which of the following is equal to Cov (X-Y, X-2Y), where X and Y are random variables on a sample…

A: Given that which of the following is equal to C(X-Y , X-2Y), where X and Y are random sample space…

Q: Show that the mean μ, median m, and variance o2 of the continuous random variable X satisfy (μ-m)²…

A: