The prices of photo printers on a website are normally distributed with a mean of $232 and a standard deviation of $64. Random samples of size 23 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is

Q: Let the probability distribution of random variable X be P(X= k) k! , k = 0, 1, 2, I then EX2 - ()

A: Let X has a pmf

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 campus radio station surveyed 500 students to determine the types of music they like. The survey…

A: The survey revealed that206 like rock,158 like country,119 like jazz 26 like rock and country,27…

Q: In a survey of 18-year-old males, the mean weight was 172.2 pounds with a standard deviation of 46.7…

A: Mean()=172.2Standard deviation()=46.7

Q: How many elements does it contain?  I forgot to add that part.

A: From the above part we haven(C) = n(B) ={ (1,4),(4,1),(2,3),(3,2) }n(CB) = { (2,3),(3,2) }

Q: probability tree diagram below, the numbers represent positions where certain pro 7. 10. given the…

A:

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: What is the expectation of X?

A: An urn holds 4 red, 3 blue, and 2 green marbles. Three marbles are selected, altogether, without…

Q: What is the expectation of X?

A: An urn holds 4 red, 3 blue, and 2 green marbles.There are total 9 marbles in urn.Three marbles are…

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: The number of tickets issued by a meter reader for parking- meter violations can be modeled by a…

A: Poisson process with parameter of 6 per hour

Q: A random sample of 5008 adults in a country includes 760 who do not use the Internet. Construct a…

A: n=5008x=760

Q: Let (x1, x2,,xn) be i.i.d. samples from a distribution with mean μ and variance o2. Consider the…

A: Xi ~ N((μ,σ2) ; i=1,2,...,n

Q: construct a spreadsheet simulation to simulate 100 customers and collect statistics on the net order…

A: Given,supermarket customers load their carts with goods totaling between  uniformly (and…

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A: Solution-:Let Z- be the random variable of standard normal distributionWe want to find c such…

Q: 1. A random variable X has expectation E(X) = μ and variance o². Suppose that Z = a) Compute E(Z).…

A: Given that X is a random variable with expectation  and variance .Suppose that

Q: Let p = 1. In this case, Sn as defined by n Sn = a + X₂ i=1 is the simple symmetric random walk.…

A: Given and a=0, we have:For a simple symmetric random walk, each Xi can be  with probabilit  .…

Q: B= 3. Alice, Betty and Celeste are playing with a standard deck of cards. The deck is shuffled well…

A: Alice, Betty, and Celeste play with a standard deck of cards. The deck is shuffled well and they…

Q: Find the indicated area under the standard normal curve. To the left of z = -1.36 and to the right…

A: Z be the standard normal distribution P(Z<-1.36 or Z>1.36)=?

Q: A casino game consists of selecting two balls, without replacement, from an urn containing 7 balls…

A:

Q: Use the standard normal table to find the z-score that corresponds to the given percentile. If the…

A: Z has follows standard normal distribution with mean zero and standard deviation one.

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: Total number of students=42

Q: You have a sample with the following scores: 2, 4, 6 What is the probability of obtaining such a…

A:

Q: 2. A Markov chain has the following transition matrix ||1/3 1/3 1/3|| P = 1/3 2/30 1/3 0 2/3 a. Draw…

A:

Q: 1. X and Y have the following joint pdf: fx,y(x,y)= Y Find the pdf of Z== e-(2x+μy) x ≥ 0, y ≥ 0,…

A: f(x,y)=λμe−(λx+μy) ; x,y≥0

Q: A box of shoes contains a random mix of shoes that can be either left or right and can also be…

A: The provided information is as follows:A box of shoes contains either left or right-footed shoes and…

Q: The time between accidents at a busy intersection has a Exponential distribution with mean of 0.2…

A: Mean=0.2x~Exponential()F(x)=P(Xx)=

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

A: The mean was 21.5 and the standard deviation was 5.6.

Q: c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of…

A: The best point estimate of the therapists success rate is 0.481.

Q: What is the expectation of X?

A: Here without replacement model so use hypergeometric distribution.

Q: random variable X is given in the following table. Find the standard deviation of the random…

A: PMF of Xx-2-1012P(X =x)0.160.170.300.150.22

Q: 5 different colored flags will be placed on a​ pole, one beneath another. The arrangement of the…

A: 5 different colored flagsWe need to select 5 flags from 5

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

A:

Q: An article reported that, in a study of a particular wafer inspection process, 356 dies were…

A: A sample of 356 dies were examined by an inspection probe and 196 of these passed the probe.

Q: 1. Given the directed graph as follows 1 1 201 3 2 a. Write the corresponding stochastic matrix. b.…

A: From the given directed graph, the stochastic matrix is given as:

Q: Q 4.4. An individual picked at random from a population has a propensity to have accidents that is…

A: Given that the random variable Y has the gamma distribution with shape parameter and rate parameter…

Q: Suppose that there are 327 members of a professional organization, of which 164 are over the age of…

A: 164 are over the age of 50327 total members The probability that a randomly selected member of the…

Q: Blood type AB is found in only 3% of the population.† If 200 people are chosen at random, find the…

A: We have given thatn = 200p = 3% = 0.03X ~Binomial(n, p) X ~ Binomial (200, 0.03)

Q: A random variable X has cumulative distribution function

A: A random variable X has cumulative distribution function is,

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: Four buses carrying 151 high school students arrive to Montreal. The buses carry, respectively, 35,…

A: There are total 151 students & Bus carry respectively 35,41,31,44 students.

Q: discuss probability or non-probability sampling, sampling method and sample size.

A: We are asked to discuss the probability and non-probability sampling, sampling methods, and sample…

Q: Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a…

A: Margin of error(E)=4%=0.04confidence level=99%

Q: What is o ? XY

A: Suppose you have the following joint probability of a stock and a bond having a positive or negative…

Q: An urn contains n=9 balls with different colors. We draw a ball randomly, record the color then…

A: n=9, m=4

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

A: Let f be a pdf ; x>=0= 0 ; x<0

Q: Mike's game consists of selecting two balls, without replacement, from an urn containing 7 balls…

A: To calculate how much Mike should charge to play this game if he wants to make $0.90, on average,…

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: