Here is a bivariate data set. y 55.2 36.1 52.6 4.4 62.1 85.4 58.7 39.5 60.8 51 65.5 64.8 66.1 46.6 63.5 54.2 64.6 26.4 69.1 69.3 68.3 45.7 63.9 54.2 55.5 65.7 63.8 32.9 66.1| 35.7 Find the correlation coefficient and report it accurate to three decimal places. r =

Q: Let X and Y denote the amplitude of noise signals at two antennas. The random vector (X, Y) has the…

A: Note: According to bartleby experts question answers guidelines an expert can solve only first three…

Q: Suppose that the random variable X has the probability density function S (1- x) for -1s x s1 f(x)…

A: We have the  random variable X  has the probability density function.

Q: Example 1. In a group of 800 people, 500 can speak Hindi and 400 can speak English. How many can…

A: Given data In a group of 800 people 500 can speak Hindi. 400 can speak English.

Q: Example 6. In a survey of 500 students in a college 180 were listed as drinking Tea, 275 ás drinking…

A:

Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: A population of values has an unknown distribution with µ = 124.2 and o Fandom sample of size n =…

A: Given data,μ=124.2σ=58.3n=106

Q: Example 3. A survey company investigated 800 car owners and found, 650 owned Maruti car and 300…

A:

Q: Which of the following is not true about a distribution's shape? It the mean is much less than the…

A:

Q: The proportion of impurities per batch in a chemical product is a random variable X with density…

A: Obtain the mean of the proportion of impurities in a randomly selected batch of chemical.   The…

Q: Find Cov(X, Y)

A: Covariance: It is a statistical measure used to establish a relationship between two random…

Q: Find the probability, P(MOR), associated with the tree diagram. 0.2 R. 0.8 S What is P(MOR)? 0.1 M…

A: Solution

Q: ... u-41, consider the following. The amount of gold X (in ounces) that a prospec- tor digs in a a…

A: X and Y are independent if f(x)*f(y)= f(x,y)  Where f(x,y) is joint distribution of X and Y.  P.d.f.…

Q: 1. A candy jar has 8 purple candies, 4 red candies and 5 blue candies. What is the probability that…

A: There are 8 purple,4 red and 5 blue candies. Total candies is 8+4+5 =17 Let event A is purple candy…

Q: A person draws 3 cards without replacement from a standard 52-card deck. Find the probability of…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: Consider the probability density function if x 5. Find Pr(X < 4) (accurate to 4 decimal places).…

A: Find Pr(X≤π/4)=?

Q: Suppose you know the following about a population with two traits: the first has variants A or and…

A: From the given information, P(A)=0.37 P(B)=0.47 P(AB)=0.23

Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

A:

Q: 10. Fit a straight line trend to the data given below by the method of least squares. Year: 1989…

A:

Q: The histogram displays the sugar content (as a percent of weight) of 49 brands of breakfast cereals.…

A: The above histogram has 2 peaks so the shape of the distribution is bimodal.

Q: 15. Fit a straight line trend by the method of least squares. Year: 1987 1988 1989 1990 1991 1992…

A:

Q: (2) Determine the areas under the normal curve given the mean of the distribution u = 80 and o =…

A:

Q: 2. (1) Compute for the Relative Frequency and Percent Relative Frequency for the Frequency…

A: Given: N=160

Q: For questions 8 to 10: The following are the scores of the random students who took the Math…

A: We have given that,  The data set are :-…

Q: Find E(X + Y

A: here write marginal distribution of X and Y

Q: The random variable X, the particle size (in micrometers) distribution is characterized by the…

A: Given that  The random variable X, the particle size (in micrometers) distribution is characterized…

Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 01. What is the probability that neither…

A: Given that  P(A)=0.5 , P(B)=0.25 , P(A ∩ B)=0.1 Find  P(neither A nor B) Note: According to bartleby…

Q: a) Find P[R3|L4]. (b) Find P[R4|L5]. (c) Find P[L2|O]

A: here dingle die is rolled  so total possible outcomes are 6 here probability of rolling each number…

Q: Suppose that 67% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that,  Let X be the number of dogs from binomial distribution with probability of dogs…

Q: The internet worm “KLEZ” is the clear leader in the number of top malicious software instances. A…

A:

Q: The random vector (X,Y) has joint pdf 0<y <x < 0 elsewhere fxv (x, y) = Cee %3D %3D (a) Find C (b)…

A:

Q: 2. For the above data draw frequency curve.

A:

Q: a) Let A and B be mutually exclusive events. Independent trials of the experiment are performed to…

A: There are two events A and B PA=paPB=pb a) Let A and B are mutually exclusive events. From the…

Q: If the coefficient of localization for students spending in public schools (per capita at country…

A: Coefficient of localization: The coefficient of localization is use for measuring the tendency of…

Q: Two coins are tossed once. What is the probability that a. they show the same faces? b. they show…

A: From the provided information, Two coins are tossed once. Total number of outcomes = 22 = 4

Q: 12. Find the following table. 1. Fit a straight line trend by the method of least square. 2.…

A:

Q: The joint pmf of X and Y are given in the table below: Y X 4 2 1 15 15 2 15 3 3 15 15 上面00

A: Solution-: We have following table: X Y 0 2 4 1 0 2/15 1/15 2 3/15 6/15 0 3 3/15 0 0…

Q: The following odds represent the chance that a football team would win the state championship title.…

A: The probability of event A with odds a : b can be calculated as P(A) = a/(a + b)

Q: Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than…

A:

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 1 15 6. 15 2 15 15 3 15

A: In question, We have joint probability mass function of X and Y. Then we'll find, E(X^2) = ? The…

Q: 3. complete and detailed solutions to the following questions. a) How many students have a laptop or…

A: here given, 46 students uses smartphones  36 students uses laptop 34 students uses both    S= uses…

Q: S The profit made by 130 firms in a year are as follows. Find the arithmetic mena Profits (*000) Rs:…

A: Given that  Frequency distribution table  Profit  Number of firms  1-2 5 2-3 27 3-4 36…

Q: Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly…

A: Given information: 10% of the engines manufactured on an assembly line are defective. If engines are…

Q: What is the probability of getting neither a red queen card nor a diamond card?

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: 12x²(1– x) for 0sxs1 f(x) = %3D otherwise

A: Solution

Q: A computer room contains 100 PCs. The probability that a PC breaks down in a week is 0.005.…

A: Givensample size(n)=100probability that a PC breaks down in a week(p)=0.005

Q: 13. Given below are the figures of production of a factory. Year: 1992 1993 1994 1995 1996 1997 1998…

A:

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A:

Q: (vii) at least one of the car (viii) none of the car.

A:

Q: The probability of A is 0.4. The probability of B is 0.5. The probability that neither A nor B…

A: From the provided information, P (A) = 0.4, P (B) = 0.5 Probability that neither A nor B happen is…