Let the random variable X have the density function = {kx₂,0; f(x) (kx,0 ≤ x ≤ √√2/k 0,elswhere

Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2,4)}, where each point is assumed…

A: I find the the value of cov(X,Y) using r-software.   R-code:- x = c(-2,-1,0,1,2) y = c(4,1,0,1,4)…

Q: a. Determine b. Determine C. Determine d. Determine the mean of x the mean of Y the variance of X…

A:

Q: If A and B are any two events with P(A) = .3 and P(BIA) = .5, then the joint probability of A and B…

A: Solution-: Given: P(A)=0.3, P(B/A)=0.5  We want to find P(A and B)=?

Q: P(-1<Z<1)= round to four decimal places

A: Given that P(-1&lt;Z&lt;1)

Q: Which set of data would probably show a strong positive linear correlation?

A: here use Basics of Correlation  positive Correlation   :  As one variable Increase other also…

Q: A) If the average number of rodents in a cotton farm with an area of 20 acres is 2 per acres,…

A: As per guideline I have calculated 1st main question  Here given,  If the average number of rodents…

Q: I f(x,y) 2 4 1 0.10 0.15 y 3 0.20 0.30 5 0.10 0.15 a. Determine the marginal distribution g(x), x =…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: -Given that P(a) = 0.2 and P(b) = 0.6, in which of the following joint probability table: are P(A)…

A: Independent: If two events are independent if P(A and B)=P(A)*P(B). Here P(a)=0.2 and P(b)=0.6.

Q: The Philippine Red Cross says that about 11% of PH population has Type B blood. A blood drive is…

A:

Q: a) If y is a random variable with a probability mass function defined as follows: 0 1 4 9 y P(y)…

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: From the provided information, Sample size (n) = 10 The probability that a machine has a lifespan of…

Q: The healing time for a broken clavicle is from a Normal distribution with a mean of 41 days and a…

A: Given,mean(μ)=41standard deviation(σ)=6

Q: The U.S. national average door-to-doctor wait time for patients to se doctor is now 21.3 minutes.…

A: It is given that the mean is 21.3 and standard deviation is 6.7.

Q: One calculates if the average number of Voodents of a cotton Farm is to da nams, it is Particular…

A: From the provided information, x f (x) -1 c 3 0.15 4 0.45

Q: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A:

Q: What are the probabilities that it will rate the device (a) very poor, poor, fair, or good; (b)…

A: The Total probability = 1 Rate Probability Very Poor 0.07 Poor 0.12 Fair  0.17 Good 0.32…

Q: 3. The following table lists the probability function of the discrete variables (X, Y). Known that…

A:

Q: A college is going to administer an assessment test to incoming freshman. Co be administered over…

A: Note : Both questions are different questions. As per answering guidelines I have to answer only one…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Given,Total no.of toppings=6

Q: picked at random. Calculate the probability that it is reliable.

A: HERE FROM GIVEN INFORMATION  p(A) = probability that component manufacture by A = 0.50  p(B) =…

Q: z is a standard normal random variable. The P(-1.96 ≤z S-1.4) equals O a. 0.475 Ob. 0.0558 O c.…

A:

Q: If the average number of rodents in a cotton farm with a surface area of 20 dunams is 2 per dunum,…

A: Given : Mean =  λ = 2

Q: Pandora, the owner of a food delivery app, knows from experience that the time needed to assemble a…

A:

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: Givena)between 0.87 and 1.28

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A:

Q: a. Determine the expected value of X. b. Determine the expected value of Y. c. Determine the…

A: As per bartlby guidelines we can answer only first three subpart and rest can be reposted

Q: The p-value will correspond to a two-tailed area using  t = 1.124 with n − 2 = 3  degrees of…

A: The test is two tailed.

Q: IQ scores of people around the World are normally distributed, with a mean of 100 and a standard…

A: Given that: Mean μ=100 Standard deviation σ=15 A genius is someone with an IQ greater than or equal…

Q: 1. A manufacturing plant consists of four machines, independently operating, to produce a certain…

A: The reliability or the probability of working of the four machines is as follows: Machine…

Q: f (x, y) 1 0.05 0.05 0.00 g (x) 0.10 a. Determine the mean of X. b. Determine the mean of Y. c.…

A: As per our guidelines we are suppose to answer only three sub parts. Mean of X (E(X))=∑X.g(x)

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. 1 b.…

A: A random variable, z, has p.d.f. f (z) = e², 0 &lt; Z &lt; 1.

Q: a. What is the probability that all the three grade 11 students are included? b. What is the…

A: here given  there are total 10 students in group  and of them 3 students are grade 11 students  5…

Q: 10 Andy, Joseph and Wai Lung formed a team to take part in a quiz. The ratio of the number of points…

A: Given that Andy, Joseph and Wai Lung formed a team to take part in a quiz. The ratio of the number…

Q: Primary and secondary routes connecting two computers need to be chosen. Two primary routes are…

A: The routes are primary and secondary.

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 6.9;3 .a 2.414;3 .b O…

A:

Q: Determine whether the claim stated below represents the null hypothesis or the alternative…

A: Given : Claim : the standard deviation for the gas mileage of one of the vehicles it manufactures is…

Q: A random sample of 8 students was selected to test the effectiveness of hypnosis on their academic…

A: (a) State the hypotheses.

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Solution-: Given: There are 6 kinds of toppings that one could order for a pizza.  How many…

Q: Solve the following problem step by step please A newspaper does a survey of reading preferences…

A: 330=150(survey)+120(read electronic)+50(Physical)+10(do not read any format)

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A:

Q: The probability a component is acceptable is 0.8. Five components are picked at random. What is the…

A: Given,n=5p=0.8q=1-0.8=0.2A random variable X~Binomial(n=5  ,  p=0.8)P(X=x)=Cx50.8x0.25-x   ;…

Q: Then P(X+Y<3) is

A: here given  joint probability distribution of x and y  f(x,y )= 18(6 - x - y)  ,  0&lt; x&lt;2  ,…

Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A: Given: Four technicians regularly make repairs when breakdowns occur on automated production line.…

Q: he lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation…

A:

Q: a. What is the probability that exactly 10 are from their elementary school? b. What is the…

A: here given  p  = probability that high school student come from their Elementary school  = 0.80 n =…

Q: 4. For two independent random variables such that X sin N(0, 4), Y ~ U[0, 4], Var(2X +3Y) = Var(2X -…

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Q: What happens to the width of a confidence interval as we increase confidence level, i.e as we…

A:

Q: μ = 3, o² = 9, P(-6 < X < 12) a. Determine P(u - ko < X < µ+ ko) ≥ 1 − 1/k²

A: Given μ=3, population variance σ2=9, P(-6&lt;X&lt;12)=?

Q: Much of Trail Ridge Road in Rocky Mountain National Park is over 12,000 feet high. Although it is a…

A: Given that sustained gale-force winds occurs on the average of once every 65 at a trial Ridge Road…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that 2 are…

A: