Let X and Y be independent random variables representing the lifetime (in one billion years) of Type A and Type B stars, respectively. Both variables have exponential distributions, and the mean of X is 3 and the mean of Y is 11. What is the variance of the total lifetime of three times a Type A star and a Type B star?

Q: Ages of Homes Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses” list with the…

A: WhitingMean age = 62.1 yearsStandard deviation = 5.4 yearsn1 = 20FranklinMean age = 55.6…

Q: A A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: The mean was 1537 and the standard deviation was 317.

Q: Panera Bread reports that on average, a customer walks into its store every 165 seconds. Determine…

A: To determine the probability that the next visit to a Panera store occurs between 5.5 and 7.5…

Q: kness of a chip (X) has a mean of 10 micrometers and chev's inequality, find a bound for the…

A: It is given that the thickness of a chip (X) has a mean of 10 micrometers and a standard deviation…

Q: X₁ ~ N(0,1), X₂ ~ N(0,4), X3 ~ N(5,9), P = P(-2≤X; ≤2), j = 1,2,3 then ( ). A. P1 > P2> P3 B. P₂> P₁…

A: X1 ~ N(0,1), X2 ~N(0,4) and X3 ~N(5,9)

Q: .62 (b) What is the standard deviation of the sample proportion of the algae that were…

A:

Q: (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that…

A:

Q: Suppose X Hypergeometric (N, b, n). Show that if N, b, n approach in a way such that →p and Nb → 1 –…

A: Hypergeometric Distribution: Understand the probability mass function of the hypergeometric…

Q: In an Ontario university classroom full of candian student only, there are six more students from…

A: Given thatIn an Ontario university classroom full of Canadian students only There are six more…

Q: Consider a large-sample level 0.01 test for testing Ho: P = 0.2 against Ha: p > 0.2. USE SALT (a)…

A: Given a large-sample level 0.01 test for testing  against .

Q: Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the…

A: Note: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so I am…

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.43%. A random sample of 34 of…

A:

Q: On average, 2 traffic accidents per month occur at a certain intersection. Complete parts (a)…

A: On average, 2 traffic accidents per month occur at a certain intersection.X~Poisson(λ=2)Note:…

Q: Books from Sellsevere Press average 1 misprint every 4 pages. A new book coming out soon will have…

A: A Poisson distribution is defined as a discrete frequency distribution that gives the probability of…

Q: 5. How many ways to line up 10 identical green bottles and 7 identical black bottles in a row, if no…

A: Permutations: Understanding how to calculate the number of ways to arrange objects in a specific…

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

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

Q: c) A probability density function is of the form f(x) = Kexx € (-00,00). Estimate the value of K.

A:

Q: spends as a random variable uniformly distributed mount that Juliet spends as a uniform random varia…

A:

Q: Determine the following probabilities for a binomial distribution. a. For n=3 and = 0.11, what is…

A: P(X= r) = n * pr* q(n-r)

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

A: The pdf of the Weibull distribution is,The values of the parameter are ,  and .

Q: cated z-score shown in the graph to the right. vo decimal places as needed.) Aream 0.2981 최 2-76

A: X follows with mean zero and standard deviation is 1.X~N(0,1)

Q: The posterior probability of the deadline being exceeded is:

A: As per policy I have calculated first main question plz REPOST for remaining questions. There is 0.3…

Q: A total of 36 members of a club play tennis, 28 play squash, and 18 play badminton. Furthermore, 22…

A: Let,A = members of the club play tennis,B = members of the club play squash,And C = members of the…

Q: Probability of event s1 = 0.21, probability of event s2 = 0.17, probability of event s3 = 0.39,…

A: Given thatP(s1)=0.21P(s2)=0.17P(s3)=0.39P(s4)=0.23Suppose that t = {s2 union s4}.

Q: The population mean and standard deviation are given below. Find the required probability and…

A: sample size(n)=75Mean()=223standard deviation()=5.9

Q: 21. 2400 voters were polled regarding ballot measure 95. The voters were separated by party -…

A: It is required to identify the particular party, being a member of which, is independent of…

Q: The sales for each of 200 salespeople were recorded one month. Then some of the salespeople took a…

A: The sales for each of 200 salespeople were recorded one month

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A:

Q: A population of values has a normal distribution with μ = 210.9 and σ = 65.7 . You intend to draw a…

A: From the provided information,

Q: A population has a mean μ = 72 and a standard deviation o=27. Find the mean and standard deviation…

A: Population mean=72Population standard deviation=27Sample size n=81

Q: If a fair die is tossed once, find the probability that the uppermost face displays an even number…

A: From the provided information,A fair die is tossed once.Total outcomes = 6

Q: What is the expectation of X?

A: Here without replacement model so use hypergeometric distribution.

Q: 4.1. Suppose X and Y are independent random variables, which are jointly continuous. 1. Show…

A: Suppose X and Y each have an exponential distribution with parameter .

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

A: The pdf of the Weibull distribution is,The values of the parameter are ,  and .

Q: Suppose that X is a uniform random variable on the interval [0, 1]. After observing the value X = x,…

A: Let f(x,y) be the joint pdf of X and Yf(x,y) = f(x) f(y| X = x)                     =  (1/1-0)…

Q: Find the z-score that has 75.5399% of the distribution's area to its right. The Z-score is. (Round…

A: We have to find the z-score that has 75.5399% of the distribution area to the right

Q: What is the probability of drawing a spade from a deck of playing cards 6 or fewer times in 12…

A: There are 52 cards in standard deck of cards.4 suits in deck of cards , each suit have 13…

Q: Find the indicated probability using the standard normal distribution. P(Z > 0.04) Click here to…

A: The indicated probability using the standard normal distribution..P(z > 0.04)

Q: Five different prizes are found in cereal boxes. Design an experiment using a deck of cards to…

A: There are 5 different prizes.Assume there are 5 cards that represent the prizes.Total number of…

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: μ=3.28,σ=0.18

Q: A group of transfer bound students wondered if they will spend the same mean amount on texts and…

A: Difference in means = Mean(u) - Mean(c) = 1015 - 949 = $66Population standard deviation of…

Q: In this problem, we will approximate a binomial dis- tribution by a normal distribution. From…

A: X~Bin(n,p)

Q: a) Find the probability of exactly 32 particles arrive in a particular one minute period. b) Find…

A: A Geiger counter counts the number of alpha particles from radioactive material. Over a long period…

Q: A uniform random variable X has a probability density given by: 1/0≤x≤2 otherwise f(x) = The mean of…

A: Mean=1, variance=13

Q: The probability of a grand piano selling for more than $69,400 is 0.3258. As these pianos sell…

A: 10) Given,The probability of a grand piano selling for more than $69,400 is,P(piano sells for more…

Q: Q 4.3. A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the…

A: 1. Compute the distribution of Y:When rolling a fair die until a 6 is obtained, Y follows a…

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: Given,Confidence level, C = 99% = 0.99Margin of error, E = 4.5% = 0.045

Q: State whether you think the two variables are dependent or independent. Explain your reasoning. a)…

A: a)Being a college professor and being female: These two variables are not inherently dependent on…

Q: t the present time, the noise level per jet takeoff in one neighborhood near the airport is ormally…

A:

Q: Observation Number X 1 2 2N 3 4 5 6 7 8 9 10 1045 1055 1037 1064 1095 1008 1050 1087 1125 1146…

A: Given that: Target value (T) = 1050 and standard deviation () = 25For EWMA chart, L = 2.7 and