If X is a binomial random variable and if np≥ 10 and n (1-p) ≥10, then X is approximately normal with x = np np (1-p) ox = and

Q: Consider two random variables with the following pdfs: X ~ N(3, 4) Y~N (5,9) Suppose X and Y are…

A: The random variables and are independent. The pdf of random variables are,

Q: The scheduling board at the SEA-TAC airport suggests that the flight time between Seattle and San…

A: Given that distribution is uniform a = 2 hours = 2*60 = 120 minutesb = = 2*60 + 30 = 150 minutes…

Q: Let X1,...,Xn be a random sample from a distribution with mean μ and variance σ2. Find the value of…

A: Assume that the random samples X1,..., Xn come from a distribution with mean μ and variance σ.2Then…

Q: day. Which probability distribution is most nearly appropriate to describe the number of dog bite…

A: It is assumed that the random variable represents the number of dog bite victims.

Q: The probability of having 3 boys out of 4 children is to be determined.  A simulation is conducted…

A: The provided information is as follows:The total number of children is .The experimental probability…

Q: If my list price is $425 less a 42% trade discount and I order 500 dozen sets of bowls, how much…

A: Given information:List price: $425Trade discount: 42%Number of dozen sets of bowls ordered: 500…

Q: The joint probability density function of random variable X and Y is  given by: f(x,y) = { e^-y, if…

A:

Q: An entomologist is studying a rare type of insect. He finds that the time from birth until death (in…

A: Given parameters in the problem are= 2β = 7we have to calculate the average life of a random insect…

Q: builtrite has calculated average weekly daily sales to be 80000 with a standard deviation of 12000.…

A: Mean()=80000standard deviation()=12000 one store manager made a bet with another store manager that…

Q: Compute the number of passwords possible that satisfy these conditions: Password must be of length…

A: Password Length: You need to know the length of the password, which is given as 5 characters in this…

Q: Suppose a discrete random variable X has range {-1, 0, 1, 2, 3} and cumulative distribution function…

A: Given that,Range={-1, 0, 1, 2, 3} X-10123F(x)

Q: 1 f(x,y)=y The random variables X and Y have joint density function re", x>0, y>0 0, otherwise (1)…

A: Let X and Y have joint density function

Q: 3) The grade point averages of a large population of college students is approximately normally…

A: Let X be the grade point average of large population of college students.Given, X is approximately…

Q: shipment contains 14 televisions, of which two are defective. A sample of three televisions is…

A: A shipment contains 14 televisions, of which two are defective.Total = 14Defective = 2Non defective…

Q: Do women tend to spend more time on housework than men? If so, how much more? A study reported the…

A: For gender women, Sample size, Sample mean, Sample standard deviation, For gender men, Sample size,…

Q: 6. Some teachers argue that they don't like multiple choice tests because a student can just guess…

A: The probability of guessing a correct answer out of 4 choices per question is (p) 1/4. Now, for a…

Q: Refer to the accompanying data set of 20 randomly selected presidents. Treat the data as a sample…

A: The sample size is .The level of confidence is .Sample data on high presidents and their opponents…

Q: Officer Joe Sixpack of the UConn Police is on patrolling duty Saturday night. He decides to devote…

A: We will use Baye's theorem to solve this problem.Let A denote that Officer Sixpack monitored the…

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

Q: Let X₁, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix 0 1/2 1/2 0 1/7 0…

A: To determine if a Markov chain has a limiting distribution, there are several relevant properties…

Q: (x, y) = {C(² 0, C(x² + y²), if 0 < x < y < 1, otherwise. a) Find the value of the constant C. b)…

A: Let X and Y have joint pdf

Q: The article "Concrete Pressure on Formwork" (Mag. of Concrete Res., 2009: 407-417) gave the…

A: 33.2,41.8,37.3,40.2,36.7,39.1,36.2,41.8,36.0,35.2,36.7,38.9,35.8,35.2,40.1sample size(n)=…

Q: Determine the following probabilities: i) the probability that the individual was unemployed = P(A)…

A: Categories of Employment status:A: UnemployedB: Employed.Categories of highest level of school…

Q: The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean…

A: The graph shows the waiting time at the of the red light.Sample size Based on the graph on the left,…

Q: In a lottery game a single ball is drawn at random from a container that contains 25 identical balls…

A: Container contain 1 to 25 numbered identical balls

Q: The joint probability distribution of the random variables is f(x,y)= 8xy, 0<=y<=x<=1. fine the…

A: The joint probability distribution of the random variables is

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: 16. Compute the hazard rate function of X when X IS uniformly distributed over (0 a)

A: It is given that the random variable X follows Uniform distribution over (0, a).

Q: Prove that if X and Y are non-negative independent random variables, then X^2 ⊥ Y ^2. Prove using…

A: Given that X and Y are independent random variables, we have:

Q: Ananya closely followed the basketball career of Diana Taurasi, a legendary 3-point shooter.…

A: Given that Diana Taurasi has a 37% chance of success on each 3-point shot, the probability of…

Q: Let T be the time from birth until death (in years) of a randomly selected member of a population. T…

A: we have given a gamma parameters as:

Q: raffic engineers are investigating the high rate of fatal accidents at a lighted city intersection.…

A: 10% of the cars that are within 200 feet of the intersection when the light turns red pass through…

Q: 5.) If a fair die is rolled 12 times, what is the probability that the sum of the rolls is 30?

A: If a fair die is rolled 12 times,Then we need to find:what is the probability that the sum of the…

Q: A company has 5 machines that will be damaged randomly every time. On average, every machine will…

A: The traffic intensity or utilization factor in this scenario can be calculated using Little's Law,…

Q: If the random variable X and Y are independent of each other. X~N(0,1) and the probability mass…

A: If there is no relationship between the random variables X and Y. X~N(0,1), and P(Y=0)P(Y=1)=1/2 is…

Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll,…

A: It is given that x = 556n = 914Confidence level = 95%

Q: The sample space contains 9 As and 7 Bs. What is the probablity that a randomly selected set of 3…

A: Let total number of sample space=9+7=16(9A+7B) From 16 samples we want to select 3 samplesTherefore,…

Q: 4. A certain highway has an average of 4 car accidents each week. (a) What is the probability that…

A: An average of 4 car accidents each weekLet "x" be the no. of accidents in each…

Q: 6) Scores on an examination are assumed to be normally distributed with mean 78 and variance 36.…

A: Let  be the student score on an examination. &amp;Assume that the random variable follows a normal…

Q: 10 10

A: We have given the figure, we have to find the probability that a randomly chosen point in the figure…

Q: How to solve Question 1?  Question 1: There are only four words in the language: awk, yacc, grep,…

A: To find the probability that the fourth word of the given sentence is a noun (Q4 = noun | O1 = perl,…

Q: A bag contains 5 blue marbles, 3 red marbles and 4 white marbles. One marble is drawn at random and,…

A: Total = 5 + 3 + 4 = 12

Q: the outcomes. 1. What is an appropriate sample space for this experiment? a. S = {AAA, N, TT, R, I,…

A: It is given that the word ANTARTICA.

Q: Let X be a continuous random variable with cumulative distribution function given by F(x)=-…

A: The CDF of X:-

Q: The diameter of fiber optic cable wite harnesses supplying the telecommunications industry…

A: Note:- "Since you have posted a question with multiple subparts we will provide solutions only to…

Q: (a) P(0 ≤ Z≤ 2.21) (b) P(0 ≤ Z ≤ 2) (c) P(-2.30 ≤ Z ≤ 0)

A: It is given that Z is a standard normal random variable.Note: According to Bartleby expert…

Q: Refer to the accompanying data set of 20randomly selected presidents. Treat the data as a sample and…

A: It is required to obtain the 95% confidence interval for the population percentage of presidents who…

Q: A manufacturer of headache medicine claims that it is 70% effective within a few minutes. That is,…

A: A manufacturer of headache medicine claims that it is 70% effective within a few minutes i.e.., out…

Q: The equation below estimates the effect of race on the probability of mortgage denial, holding…

A: Given that,      Pr(deny=1|P/I ratio, black)=(-2.29 + 2.78 P/I ratio+ 0.71 black)where,      is the…

Q: Let X and Y be nonnegative integer-valued discrete random variables such that JC. 2-m-n P(X = m, Y =…

A: Given the joint pmf of the nonnegative integer-valued discrete random variables X and Y: