2. Calculate the mean and median from the following data: Marks No of Students 0-10 10-20 10 20-30 25 30-40 30 40-50 20 50-60 10

Q: Explain the ratio to trend method of computing the indices of seasonal variations.

A:

Q: 1. In your study, the population size is 10,000. What is the size of your sample if you allow 2%…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    here given population size  N =…

Q: five different history books are to be arranged in a shelf. In how many ways can these books be…

A: Given,no.of math books=4no.of economics books=3no.of history books=5

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 completely randomized design, 12 experimental units were used for the first treatment, 15 for the…

A: For the given data Perform Anova single factor

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

A: Here we have to find the variance V(Y) from the given joint distribution table

Q: The random variable X has CDF Fx(x) x 2) d) Determine E(X) e) Determine Var (X)

A: Given, the cdf of random variable  X: F(x) = 0          x< -30.4           -3≤x<5     0.8…

Q: Deeall th at the gamma qun etion is dycned as amm a S. yas r>o. you c an use nithout prooy that'…

A: Solution

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: The probability of a man hitting a target is 1/3. How many times must he fire so that the…

A: Given P(at least once)&gt;0.9 P(hitting a target)=1/3

Q: In monopoly, a player rolls two 6-sided dice and moves the sum of the values shown. If it's your…

A: The player rolls a two 6-sided dice and moves the sum of the values shown. If it's your turn to roll…

Q: Example 23. 80 coins are placed in a straight line on the ground. The distance between any two…

A:

Q: :Assume P (ANB) = .12, P ( A n B .29, and P ( A UB) = .72. Find P(A).

A: Solution-: Given: P(A∩B)=0.12, P(A¯∩B¯)=0.29, P(A∪B¯)=0.72 We find, P(A)=?

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: Let A be the event for getting 2 or 3 on first toss  B be the event for getting 4,5 or 6 on the…

Q: Describe the types of probability samples and discuss under which conditions they may be the most…

A: Solution-: Describe the types of probability samples and discuss under which conditions they may be…

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

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: You generate a scatter plot using Excel. You then have Excel plot the trend line and report the…

A: Solution-: Given: The regression equation is reported as Y^=-61.46*X+41.55 and r2=0.16 We find…

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: From the provided information, x y 5 11.3 6 12.52 7 11.54 8 12.86…

Q: Q. 18 Explain the uses of Time Series.

A:

Q: For numbers 15-24, consider the following. The joint pmf of X and Y are given in the table below: Y…

A: Introduction:  Correlation:  The correlation coefficient is given by, ρ=Cov(X,Y)σxσy Where, Cov(X,Y)…

Q: c) Let X and Y be two discrete random variables. We define Z = X + Y , i.e. Vw e Ω,Ζ(ω) -Χ(ω) + Υ(ω)…

A: Given that,    Let X and Y be independent random variables that have the Poisson distributions with…

Q: 10. Consider an e-mail message being transmitted across a single network link. The e-mail is broken…

A: The following information has been given:  Let p denotes the probability that a transmission is…

Q: Imagine a man on the grid below. A path is considered to be "valid' if it consists only "go right"…

A: a. From the given information, Given that a man can go either right or up. Observe that a man can go…

Q: There are 45 tickets, each one has a digit between 1 and 9 on it and each has a letter A, B, C, D,…

A: When there is uncertainty, the concept of probability is introduced. Probability of an event is…

Q: The joint PDF of X and Y is given as S2, 0< x< y<1 f(x,y) (0, otherwise

A:

Q: 1. From a lot of 10 construction materials, 4 are selected at random and tested. If the lot contains…

A:

Q: c. Illustrate all the information on a two- stage binary communication channel in figure 2 below. A…

A: Please find the explanation below. Thank you

Q: Example 1 Construct the ogives for the following data. С. I.: 10-20 20–30 30-40 40-50 Frequency: 4…

A: Given that  Frequency distribution table  C.I Frequency  10-20 2 20-30 4 30-40 6 40-50 3

Q: The likelihoods of any two events are equa Sample Space When a object can be selected multiple […

A: The objective is to match the following definitions to the correct terms.

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: We have given thatn = 1056 x = 592 Significance level (α) = 1 - 0.90 = 0.10

Q: Find the conditional distribution pY |X(y | 2).

A: Given that  Joint probability mass function of X and Y is    Y=0 Y=2 Y=4 X=1 0 2/15 1/15 X=2…

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: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: Example 22. A piece of equipment cost a certain factory Rs. 6,00,000. If it depreciates in value,…

A:

Q: Example 23. 80 coins are placed in a straight line on the ground. The distance between any two…

A:

Q: 1. Find P (AN B).

A: Here use basic probability rule

Q: Suppose a special type of small data processing firm is so specialized that some have difficulty…

A: Property of probability distribution function (pdf) :  ∫yf(y) dy =  1

Q: Q. 17 Base shifting of Index number.

A:

Q: Example 34. Find the mode for the following data: Marks : 1- 5 6 - 10 11 – 15 16 – 20 21 - 25 No. of…

A: Given that  Class Frequency 1 - 5 7 6 - 10 10 11 - 15 16 16 - 20 32 21 - 25 24 Mode…

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

A:

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: Example 21. B arranges to pay a debt of Rs. 9600 in 48 annual instalments which form an arithmetic…

A:

Q: The following data is given: 3 4 14 12 9 _y 4 7 11 Use linear least-squares regression to determine…

A:

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

A:

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A:

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: A 6-sided die is rolled twice. What is the probability of showing a 1 on the first roll and an even…

A:

Q: 9. From the following data, find the missing item. X: 110 112 113 117 ? 125 128 130 Frequency: 25 17…

A: