1. Find Karl Pearson's co-efficient of correlation of the following data. Age of husband (x): 20 22 23 25 25 28 29 30 30 34 Age of wife (y): 18 20 22 24 21 26 26 25 27 29

Q: Assume that the traffic to the web site of Smiley's People, Ic., which sells customizec follows a…

A: Given data,Mean μ=6.5sd     σ=3P(X>1.5)=?

Q: A simple binary communication channel carries messages by using two signals 0 and 1.It was assumed…

A:

Q: 12. Calculate the expected life of refrigerators at the age of 7 using the following data. Age: up 2…

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Q: Example 7. In a survey of 35 students, 17 have opted Management, 10 have opted Management, but not…

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Q: A Markov chain has the transition probability matrix 0.3 0.2 0.5 0.5 0.1 0.4 0.5 0.2 0.3_ In the…

A: * SOLUTION :-

Q: Example 4. In a survey of 2000 mobile it was found that 1700 users liked Nokia and 1500 users liked…

A: In question,  Given that in a survey of 2000 mobile it wa found that 1700 users liked Nokia and 1500…

Q: Example 5. Find the coefficient of correlation between the heights of brothers and sisters from the…

A: It is given that X denotes the heights of brothers And Y denotes the heights of sisters. Required :…

Q: 6. The following data gives the distribution of marks scored by a set of students. Find the mean and…

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Q: Suppose you have a bag of 100 marbles. Fifty of the marbles are red, and 50 are green. You are…

A: Total (100 marbles in bag) 50 red 50 green We have to draw 4 marbles with replacement.

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

A:

Q: A Markov chain has the transition probability matrix [0.3 0.2 0.5 0.5 0.1 0.4 _0.5 0.2 0.3 In the…

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Q: 6. The following data gives the distribution of marks scored by a set of students. Find the mean and…

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

A:

Q: 5. For each of the following, determine the constant k so that (x)satisfies the conditions of being…

A: (a) Determine the value of k. The value of k is obtained below as follows: From the information,…

Q: 13. Estimate the number of employees earning at least 63 but less than Rs 75 from the following…

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Q: Example 7 Calculate mode using empirical formula for the given frequency distribution. C. I.: 10-20…

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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: Challenge 4: Binomial Distribution 1. How many ways can a team of 7 be chosen from a panel of 20?

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has x = 60…

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Q: container contains 50 green tokens, 20 blue tokens, and 3 red tokens. Two kens are randomly selected…

A: It is given that the number of green tokens is 50, blue tokens is 20 and red tokens is 3.

Q: Aside from looking at how high or how low the class standings are, Prof. Juan is also interested in…

A: Given: Using the chi-squared test for variance with a p-value equal to 2.095e-12.

Q: Find Cov(X, Y)

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

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

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Q: Four different math books, th ree different economics books, and five different history books are to…

A: Given:Four different math books, three different economics books, and five different history books…

Q: • What is the probability that you need to report to work on the 2nd day (i.e., P(Day 2 = On Duty))?…

A: From the Markov Chain diagram, we have the transaction matrix as  P=0.850.150.200.80 1) Therefore,…

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

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Q: The probabilities that discipline officers will discover violations of the student handbook in a…

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Q: (0.002 e-0.002 t,t 20 10, Example - 2: Consider the pdf f (t) = with t in hours. other wise i)…

A: i) Reliability function, R(t): Rt=∫t∞ftdt      =∫t∞0.002e-0.002tdt     =0.002e-0.002t-0.002t∞…

Q: Components produced by a company have a target weight of 500g but the actual weights of the…

A:

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: 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: 17. Fit a straight line trend by the method of least square. 1990 1991 1992 1993 1994 1995 1996 1997…

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Q: In a Hardy-Weinberg situation, suppose that 181 out 400 individuals in a population express a…

A: The following information has been provided: The total number of individuals =400. The number of…

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

A:

Q: Determine whether each group of events is Mutually Exclusive or NOT.

A: here use basic probability  here use basic of mutually exclusive and not mutually exclusive events…

Q: (ii) An(BUC) = (AN B) U (A nC). i.e., union and intersection are distributive over intersection and…

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Q: Let X,Y, Z be random variables each having a mean µ and variance o². rurther, let Cov(X,Y) = 2,…

A: In question, Given that X, Y, Z are three random variables with mean mu and variance sigma^2. And,…

Q: Q12. In how many ways the letters of the word 'FUNAMBULIST' can be arranged in a circle such that N…

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Q: 1. Find P (AN B).

A: Here use basic probability rule

Q: A study of working actors looked at age and gender. One sample of 45 male actors had a mean age of…

A: Given that,  n1=45, X1bar=28, sigma1=5 n2=45, X2bar=35, sigma2=3 We have to find 92% confidence…

Q: Domestic demand and supply for wheat are given by: Qd = 1000 - 20P Qs = 500 + 30P Suppose that…

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Q: on the 2 dice is "6". Are A and B independent? Let C be the event that the sum of the spots on the 2…

A: here given two dice are rolled  so total outcomes  = 36

Q: In an experiment, A, B,C, and D are events with probabilities P[A]= 2/8, P[B] =3/24, P[C] =15/24,…

A: Two sets are said to be disjoint if they do not have any common elements. For example, let A=1, 2,…

Q: (a) all 5 will survive the test (b) at most 2 will survive the test?

A: here given, lot of 10 construction material , 5 are selected randomly and tested  if lot contains 3…

Q: 2. In a certain section of Southern California, the distribution of monthly rent for a one- bedroom…

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Q: Tell whether there is a significant difference in the mean serum cholesterol of individual who…

A: Given information: No. of variables=5, i.e. Weight, Exercise, Systolic Pressure (before the…

Q: 1. If ‘m’ is the mean of a Poisson distribution, the standard deviation is given by ___________

A: We have given that, If mean of Poisson distribution is 'm' then standard deviation is given by?

Q: A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed…

A:

Q: The heights of American adult males are normally distributed with a mean of 177 cm and a standard…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

Q: C. Find ež, the minimum Mean Square Error (MSE) of the optimum linear estimate

A: