If X is an exponential random variable with parameter 1 = 1, compute the probability density function of the random variable Y defined by Y In X.

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

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Q: Q. 17 Base shifting of Index number.

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Q: I. Tell whether each of the following is a combination or a permutation. Write PE if each statement…

A: We have given that the statements about to the permutation and combination.     Note: According to…

Q: 8. Given below are the monthly incomes and their net saving of a sample of 10 supervisory staff…

A: Given data is  Montly Income (x) 780 360 980 250 750 820 900 620 650 390 net saving(y) 84 51 91…

Q: Draw and Shade the normal curve, find the percentage of that shaded part and find the number of…

A: GivenMean(x)=480sample standard deviation(s)=50

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: II. Create a standard normal curve for each given, find the areas under the normal curve and shade…

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Q: You may be conducting a study on why high school students choose community college over university.…

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Q: 6.) Weight Loss A weight-loss clinic guarantees that its new customers will lose at least 5 lb by…

A: Mean(µ) = 6.7Standard deviations (σ) = 0.81 Let X be the loss of weight of customers at the end of…

Q: Our department seminar room is lit by 7 light bulbs, controlled by a single switch. A minimum of 3…

A: GivenThe total number of light bulbs in seminar room =7The minimum number of bulbs needed for the…

Q: A mechanical device has a wear out time distributed normally with a mean of 1100 hours and a…

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Q: Assume that at the airport security check, 60% of all passengers are selected for a random bag…

A: Given that p = 60% = 0.60 n = 10 X ~Binomial(n, p) X ~ Binomial (10, 0.60)The PMF of the Binomial…

Q: On a given weekend in the fall, a tire company can buy television and advertising time for a college…

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Q: Consider the following. (Give your answers correct to four decimal places.) (a) Find P(-2.1 < z <…

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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: 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: Example 1 Construct the ogives for the following data. С. I.: 10-20 20-30 30-40 40-50 Frequency: 2 4…

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Q: 3 Suppose that an experiment is made up of throwing a die and then flipping a coin once if the die…

A: A die can show 1,2,3,4,5,6  Odd numbers: 1,3,5  Even numbers: 2,4,6  Then possible outcomes for odd…

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: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

A: Given that  Simplify 5x - 5x-1 - 5x-2

Q: Consider the probability density function if x -4 + (x+4)³ Find Pr(X > –1|X < 3). Select one: 18 40…

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Q: One consequence of the popularity of the Internet is that it is thought to reduce television…

A: We have given n = 55 σ = 1.90 µ = 2.25

Q: A7. Two cards are drawn from a pack of playing cards of 52. Find the probability that both cards are…

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Q: Have you ever tried to get out of jury duty? About 27% of those cated wil fnd an ecuse (work, poor…

A: Since we answer up to three subparts in a problem, we'll be answering the first three subparts.…

Q: Three balls are to be randomly selected without replacement from an urn containing 20 balls numbered…

A: Given : Total number of balls = 20 Number of balls drawn = 20

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

A: We have given that,  The data set are :- X :- 0, 1, 2, 4, 4, 5 Y:- 38, 44, 51, 47, 65, 68 Then,  We…

Q: 1. A company is manufacturing blue jeans at a cost of $9.99 per pair. They plan to put a price tag…

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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&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: Suppose that 80% of drivers are "careful" and 20% are "reckless." Suppose further that a careful…

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Q: e following pie chart shows the percentage of the population that used the Internet in 2000, broken…

A: Given: P(Internet user and &lt; 35000) = 0.11 P(Internet user and ≥35000) = 0.35 P(Non user and &lt;…

Q: 7) An offshore platform is designed for a 50+10-year wave (turnover period), however the platform is…

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Q: You are looking for an investment opportunity that will provide a yield of at least 10%. You…

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Q: The table below gives the joint probabilities distribution of two random variables X & Y Green (X=1)…

A: Here we have given joint probabilities distribution of two random variable of X and Y…

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: 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&gt;1.5)=?

Q: A radio station runs a promotion at an auto show with a money box with 12 $50 tickets, 10 $25…

A: A radio station runs a promotion at an auto show with a money box with 12 $50 tickets, 10 $25…

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: Consider a string of length 7 consisting of 0's, 1's and 2's. For example, 0121210 is such a string.…

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Q: x and y are random variables with joint PDF ドキツS,メ2D,0 fxiy (x.y) other a) marginal PDF fx(x)? b)…

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Q: A new sneaker claims that it can make male athletes jump higher. A sample of 47 male athletes were…

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Q: A fair coin is flipped 3 times. What is the probability that at least one of the flips comes out…

A: When we flipped a coin  3 times, then all the possible 8 outcomes are  { HHH, THH, HTH, HHT, TTH,…

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

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Q: of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: Here is a bivariate data set. y 37.5 76 33.2 76.1 42.8 79.3 36.4 94.3 52.1 93.3 61.9 106.5 15.2 45.6…

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Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

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Q: The accompanying table shows the âges (in years) of 11 Chliun Click here to view the data table.…

A: As it is found that, the correlation coefficient is r= 0.976 Sample size is n= 11 Then test…

Q: A shipment of 9 typewriters contains 3 that are defective. Find the probability that a sample of…

A: Given,no.of defective typewriters=3no.of non defective typewriters=6Total no.of typewriters=9

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

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Q: Test the claim that the mean GPA of night students is significantly different than the mean GPA of…

A: Givenn1=30x1=2.68s1=0.3n2=40x2=2.61s2=0.2significance level(α)=0.02

Q: Let X: Uc4) out of st andard er dere d uniferm

A: From the given information, X=U4 out of 8 standard ordered uniform and Y=U5out of 8 standard ordered…