The probability that a driver will have an accident in 1 month equals 0.02. Find the probability that in 100 months he will have three accidents.

Q: Suppose that P(B|A) = 0.3, P(B|A') = 0.3, and P(A) = 0.7. Determine P(A|B)

A: given data P(B|A) = 0.3P(B|A') = 0.3P(A) = 0.7      ∴P(A') = 1-0.7 = 0.3P(A|B) = ?

Q: e function f(x, y) = (x + y) is a joint probability density function over the range 0<x<3 and x…

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Q: (a) What is the probability of George making a profit? (b) Sally finds out that George made a…

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Q: 3. A shopping website has a free section and a members-only section. When entering the members-only…

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Q: Consider randomly selecting a student at a certain university, and let A denote the event that the…

A: given data  P(A) = 0.45 P(B) = 0.40 P(A∩B) = 0.20 we draw venn diagram first.

Q: Suppose an insurance company classifies a “serious” flood as one where at least one home that they…

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Q: Direction: Solve the following problems in the space provided. Let the continuous density function…

A: Given information: ft=kt, 0≤t≤2 The value of k is calculate below: ∫02ftdt=1∫02ktdt=1kt2202=1k2*4=1…

Q: If a pair of dice is rolled, find the number of sample points of the following: a. Sample space b.…

A: Given A pair of dice is rolled

Q: Suppose that P(B|A) = 0.3, P(B|A') = 0.3, and P(A) = 0.7. Determine P(A/B)

A:

Q: 3. A 3-state Markov Chain has the following (incomplete) transition ma- trix, [0.7 0.2 ? 0.3 ? 0 0.1…

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Q: Compute the following probabilities using the life table below: Age (x) 42 43 44 45 46 47 1₁ 10000…

A: Formulas: qtx=1-lx+tlxqt|ux=qt+ux-qtx a) q9|445=q9+445-q945           =q1345-q945…

Q: The average time for a mail carrier to cover a route is 380 minutes, and the standard deviation is…

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Q: Sketch the area being described and evaluate the probabilities for the Standard Normal Distribution…

A: Given that We have to sketch and find the below Probabilities a .P(Z&lt;2.15) b..P(Z&gt;1.15) c…

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Q: A marble is selected at random from a jar containing 5 red marbles, 6 yellow marbles, and 3 green…

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Q: The population of children under 5 years in Whitefish, Montana on July 1 2015 was 2,350 with no…

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Q: (3) The random variable X has the following density function: (k-x,0<x<k , otherwise f(x) = { (0 The…

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Q: Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On each…

A: Here in this question it given that we have an urn containing 7 red and 3 blue balls. You draw three…

Q: tic for Tokyo-London undersea cable. On January 21, 2010 The Seattle Times carried an Associated…

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Q: 6. Find the moment generating function of the following PDF: fx(x) = √2π o 202 xER, μεR, σ > 0,…

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Q: Use the data in this story to estimate the annual earnings of the average American. Do you think the…

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Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 264.3…

A: given data bell shaped (normal) distribution μ = 264.3σ = 61.1

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Q: Let assume independent tosses of an unfair six-sided die as 1 1 12'3'3'4'12'). Compute random…

A: Given that the tosses of an unfair six sided die are independent with μ=112,13,18,14,112,18.

Q: Let X denote the distance (m) that an animal moves from its birth site to the first territorial…

A: It is given that X has an exponential distribution with parameter λ=0.01337.

Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

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Q: The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are…

A: We have given that probability (p)  = 0.10number of samples (n) = 5 Here we will use binomial…

Q: Find the mean of the data summarized in the given frequency distribution. Compare the computed mean…

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Q: (8) A company produces X bulbs per day. If E(X) = 1000 and var (X) = 100, then P(900 < X < 1100) is…

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Q: For Problem 19.27 , determine the probability (assuming normal distribution) that a car would need…

A: Given: Kilometers driven before engine maintenance (x) Frequency 70000 12 80000 17 90000…

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Q: (7) Suppose that X₁ and X₂ are two random variables with j. m. g. f. 2 (t₂-1)(t₂-1) + (t₂-1)²' - ²₁…

A: In the question, Given that X1 and X2 are two random variables having joint mgf given. Then We will…

Q: f the odds against winning on a scratch-off lottery ticket are 646:5, what is the probability of…

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Q: - c(13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18) Fine the vector y by the…

A: year x 1951 13 1952 23 1953 21 1954 27 1955 37 1956 52 1957 34 1958 42 1959 31…

Q: If a study determines the difference in average salary for subpopulations of mechanical engineers…

A: We are given that, a study determines the difference in average salary for subpopulations of…

Q: Consider two variables: one denotes whether a person truly has a disease (D) or not (D) and the oth…

A: Given data:   D Dc Row Total Pos 53 4 57 Neg 2 455 457 Column Total 55 459 514

Q: turned in, the instructor randomly ordered them before grading. Consider the first 15 graded…

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Q: 2. For the data 14, 21, 26, 27, 28, 32, 35, 35, 38, 45, 48, 50, 51, 51, 57, find a. The percentile…

A: We have given that  14,21,26,27,28,32,35,35,38,45,48,50,51,51,57 Here data are already arranged in…

Q: A fair coin is tossed three times and the random variable x equals the total number of heads. Find…

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Q: Please explain in clear detail, showing all steps for the MATH. How do you use this formula to get…

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Q: Suppose the probability density function of the length of computer cables is f(x) = 0.1 from 1200 to…

A: Given that  Probability density functions of X is  f(x) = 0.1 , from 1200 &lt; X &lt; 1210 X ~…

Q: (8) Let X-b(n, p), with E(X) = 6 and var(X) = 4.2, then P(X ≤ 6) = 0.608.

A: here given , E(X) = 6 var(X) = 4.2 for Binomial Distribution  mean = E(X) = np and Variance  = npq

Q: What is the formula in finding the probability of tossing 3 dice

A: Given that the formula in finding the probability of tossing 3 dice :

Q: 3. Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On…

A: 7 red balls 3 blue balls.  _______________ 10 total balls   event :  R1: red on first trial B1: blue…

Q: constant c, the marginal pdf of X, and the conditional pdf of Y given X.

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Q: (d) P(-2.10 ≤ Zz ≤ 2.10) (e) P(Z < 1.08) (f) P(-1.05 ≤ Z)

A: d)GivenP(-2.10≤Z≤2.10)

Q: a) Let X₁, X₂, X3, ..., Xn be a random sample of size n from the normal distribution N(μ,²). i)…

A: Given Xi ~ N(μ, σ2) ; i=1,2,..,n and random sample.  Note: According to Bartleby guidelines expert…

Q: In cleaning out your old exactly 11¢ of postage? Can you make exactly 19¢ of po

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Q: PLEASE ANSWER 21 THE GRAPH AND A,B

A: Continuous distribution function explain the probability of all the events happen in that interval.…