If a random variable X has the gamma distribution with a= 2 and ß= 1, find P(2.5

Q: A random process X(t) is stationary. If it is known that E[X(10)] = 10 and var(X(10)) = 1, then…

A: Given that, A random process X(t)  is stationary. E[X(10)] = 10 var(X(10)) = 1

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: In a sample of n = 18 lichen specimens, the researchers found the mean and standard deviation of the…

A: We have given that Sample size (n) = 18Sample mean (x̅) = 0.009Standard deviations (s) = 0.006

Q: The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the…

A:

Q: Find the mean, median, variance, and the interquartile range of the following data: 1.58 2.51 4.04…

A: Given data is1.58,2.51,4.04,2.2,6.43,5.19,1.58,4.32sample size(n)=8

Q: A machine that fills bottles with an un-named refreshing beverage is set up so that it dispenses…

A: Let X be the random variable from normal distribution with mean (μ) = 16.3 and standard deviation…

Q: The number of parking tickets issued in a certain city on any given weekday has a Poisson…

A: Given Mean=50

Q: The Princeton Review estimates that 70% of CofC students are in-state students. Assume we take a…

A: Let X be the random variable from binomial distribution with sample size (n)= 10 and probability (p)…

Q: A particular system in a space vehicle must work properly in order tor it to gal accau. earth's…

A: Given information: One component of the system operates successfully only 85% of the time. To…

Q: Suppose you are interviewing 25 people in order to fill 5 job vacancies. How many possible choices…

A: Number of job vacancies = 5 Number of people interviewed = 25 We need to select 5 out of 25 people

Q: Symmetry. The distinct pair i, j of states of a Markov chain is called symmetric if P(Tj < Ti | Xo =…

A:

Q: 7.5 The county hospital is located at the center of a square whose sides are 3 miles wide. If an…

A: Given Information: A hospital is located at the center of a square. The sides of the square are 3…

Q: Monthly cell phone bills for residents of a city have mean €63 and standard deviation €11. Simple…

A: It is given that  Mean = 63,  And SD = 11 Let M denote the sample mean. Note : According to our…

Q: The batteries from a certain manufacturer have a mean lifetime of 810 hours, with a standard…

A: given data  empirical rule : approximately 68-95-99.% data fall within1σ-2σ-3σ of μ. μ = 810σ = 70

Q: Given a normal distribution with n = 26, µ = 30 and σ = 6 Find a. b. C. The value of x that has 80%…

A: Givenn=26μ=30σ=6

Q: A radio station runs a promotion at an auto show with a money box with 13 $50 tickets, 11 $25…

A: given data  13 $50 tickets 11 $25 tickets 14 $ 5 tickets 20 dummy tickets ____________________58…

Q: Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a class of 26 students, 8 have a brother and 6 have a sister. There are 2 students who have a…

A: Given:-

Q: A political candidate with 84115 registered voters in their electorate, wants to survey these voters…

A: Given that Number of voters registered =84115 Number of persons respond =7667 41% vote for a…

Q: Here is a FDT for a small data set: data freq 45 2 46 4 47 2 48 3 49 9Find the following measures of…

A: We have given that,  The data set are :- Data (x)  frequency (f)  45 2 46 4 47 2 48 3…

Q: A coin which has probability 0.82 of coming up Heads is tossed three times. Let Y be the number of…

A: Y be the number of tails given  Given  probability of head =q=0.8

Q: In a bulb factory, three machines, A, B, C, manufacture 60%, 25% and 15% of the total production…

A: Let D=defective productsGiven,P(A)=0.60P(B)=0.25P(C)=0.15P(D|A)=0.01P(D|B)=0.02P(D|C)=0.01

Q: According to her doctor, Mrs. Harris's cholesterol level is higher than only 5% of the females aged…

A: Given information: Let X be the cholesterol levels among females aged 50 approximately normally…

Q: Y~N (100, T) value of PCY >105Y >103) ?

A: Given  Y~N(100,7)

Q: Suppose that a team of 10 players is to be selected from a pool of 30 players, of which 16 are men…

A:

Q: Twenty subjects volunteer for a study of a new cold medicine. Eight of the volunteers are ages…

A:

Q: A random sample of 91 observations produced a mean x = 25.6 and a standard deviation s=2.7. a. Find…

A: Given,sample size(n)=91sample mean(x¯)=25.6sample standard deviation(s)=2.7degrees of…

Q: An elementary school teacher has a small class consisting of 6 students. 9a. When handing out name…

A: Solution: From the given information, a small class consisting of 6 students.

Q: 12. A stochastic matrix P is called doubly stochastic if Σi Pij = 1 for all j. It is called…

A:

Q: 1. Let X₁, X2, and X3 represent the times necessary to perform three successive repairs tasks at a…

A:

Q: An aluminum foil manufacturer wants to improve the quality of his product and is trying to develop a…

A: Solution:  Let X be the number of flaws per square feet.  The average number of flaws per 90 square…

Q: Questions 1 and 2 use the X and Y data below.  You can think of this data as representing the…

A: Given the data of the heights of 5 individuals at ages 11(X) and 12(Y) as Obs X Y A 60 62 B…

Q: Example 9.5: Let X1, X2, X3, and X4 be a random sample from a distribution with mean and variance…

A:

Q: (d) Compute an 82% CI for when n = 100 and x = 52.9. watts (e) How large must n be if the width of…

A: Given that  Sample size n =100 Sample mean=52.9 Population standard deviation =2.9

Q: Inference of the population mean with small samples Show development for the solution In an…

A: Given that, in an clinic, a certain group of people is on a program to lose weight and improve their…

Q: How many tissues should a package of tissues contain? Researchers determined that 60 tissues is the…

A: Solution-: Given: μ0=60,n=100,x¯=52,s=22,α=0.05 Suppose the test statistic does fall in the…

Q: Problem #5: Let X be a discrete random variable with moment generating function -3t Mx(t)=e+e 13t +…

A:

Q: Choose a point at random in (0,1), then this point divides the interval (0,1) into two subintervals.…

A: An arbitrary observation is selected in the unit interval 0,1 and this arbitrarily splits the unit…

Q: Drafa is a fictional recessive disease corresponding to genotype dd Two parents show no symptoms so…

A: Given that : Two parents either DD or Dd P(A)=9/10,P(B)=1/16,P(C)=3/80

Q: What is the null hypothesis? What is the alternate hypothesis? What is a type I error? What is a…

A: The null and alternative hypothesis  A hypothesis of no difference is called null hypothesis and any…

Q: A store purchases baseball hats from two different manufacturers in 3 different colors, summarized…

A: black blue red total A 13 29 15 57 B 19 16 14 49 total 32 45 29 106

Q: An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius…

A:

Q: A company estimates that 0.4% of their products will fail after the original warranty period but…

A: p(FAILS WITHIN 2 YEAR)= p = 0.004 P(not fail) = 1-0.004 = 0.996 replacement cost $ 50 premium to…

Q: 13. Let X₁, X2,... be i.i.d. r.v.'s with finite expectation and finite variance o², and let X = L²…

A: 13. Given that X1,X2,... be i.i.d. r.v.'s with finite expectation μ and finite variance σ2 . So,…

Q: Suppose we are interested in analyzing the market share and customer loyalty for Murphy's Foodliner…

A:

Q: 6) We select 8 cards from a regular deck without replacement. a) What is the probability that at…

A: There are 8 cards are selected without replacement.

Q: A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor…

A: It is given that  Standard deviation, σ = 2.9     Note: According to Bartleby expert guidelines, we…

Q: People with high blood pressure suffer from hypertension. Data on fasting blood sugar…

A:

Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: Problem #6: There are 6 yellow, 9 blue, and 4 orange balls inside an urn. 8 balls are chosen from…

A: We have given that Number of yellow balls = 6 Number of blue balls = 9 Number of orange balls = 4…