Write the solution legibly. No long explantion needed. Rate will be given. A pair of dice are thrown once. What is the probability that: a. the sum of the dice is less than 8 given that one of the die shows a number less

Q: X P(x) 3 0.25 0.3 9. 0.1 12 0.35 Find the mean and standard deviation of this probability…

A: Solution

Q: Using change of variables: Let y = f(x), where x and y take values ​​in IRn. The probability…

A: Taking n = 1, we have: f: R-> R   If X and Y are discrete, then we have: PY( y) = ∑x:f(x)=yPX(x)…

Q: 6. The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000…

A: GivenMean(μ)=7000standard deviation(σ)=600

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Q: 3 males and 3 females are sitting in two parallel rows containing three people each. Find the…

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Q: i. Find the followlng probablities. Polnts per game frequency 0. 10 4 15 12 TOTAL:47 11. P(x>1) =…

A: Given that  Frequency distribution table  Point per game Frequency  0 2 1 3 2 5 3 10 4…

Q: An airline studied the data from their passenger records and noted that their customers turn up only…

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Q: A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

A: Given data There are  38 orange gum balls 30 purple gum balls 18 yellow ones.

Q: B. Given the 600 points in the loyalty card of a customer with the mean u = 150 and standard…

A: Solution-: Given: μ=150,σ=25 We find, (1) P(less than 125 points of the customer)=? (2) P(above 220…

Q: A true or false test consists of 10 questions. if all the questions are answered, in how many…

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Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: We have given that n = 74 x = 11 p̂ = x/n = 0.1486 p = 0.3 α = 0.05

Q: When the sample standard deviation S is based on a random sample from a normal population…

A: Given that, EcS=2n-1Γn2σΓn-12 Unbiased estimator for σ of the form cS. EcS=σ

Q: Prove or disprove. Given n (n > 1) events A, A, .. An E5, then Σεν P[A] – PIA, nA,] < PIJA]s P[A;] -…

A: Solution: From the given information, it is needed to prove or disprove

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Q: Let Z be a standard normal random variable and calculate the following probabilities, drawing…

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?…

Q: The accountants of a known auditing firm have a mean daily salary of P850 with a standard deviation…

A: X~N(μ= 850 , σ= 82 ) μ= 850 , σ= 82 Formula for Z-score Z=(X-μ)/σ

Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

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Q: = 2004 presidential election exit polls from the critical state of Ohio provided the following…

A: We have given that,  Favorable cases (X) = 412 and sample size (n) = 768  Then,  We will find the…

Q: 1. A password consists of 10 characters (using only upper or lowercase letters or digits 0-9). How…

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A: Arrange the given data in ascending order2,14,16,18,18,24,28,32,32,32,34,40,42,50,66,72,74,86…

Q: If X*N(0,1) then X2- G(1,2) الخيار 3 G(1/2 ,2) O 2 uI G(2,2)

A: A continuous random variable X is said to follow Gamma distribution with parameters α and β if its…

Q: a. If the person is picked at random from this group, find the probability that the person is a…

A: Education Male Female total Elementary 38 45     83 Secondary 28 50 78 College 22 17 39…

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Q: Distribution function of life span If F(t) = 1 – e¬At,2 > 0, find: a) Life function, sudden death…

A: Given the distribution function of life span as Ft=1-e-λt  , λ&gt;0

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Q: Without looking at the bags, a young boy reaches into one of them and withdraws a U.S. coin.…

A: here define events  boy reached into Green bag  = G boy reached into blue  bag  = B U.S. coin = S…

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Q: For each of the studies in the accompanying table, test whelthet a compansOH IR WHILI method. E…

A: Given Information: The F-value is 17.02   Number of groups Number of participants Significance…

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Q: (a) Show that the joint pdf for U, V is of the form f(x, y) = { exp(-u-v), if (u, v) E A otherwise…

A: The Jacobian method of transformation will be used to determine the joint pdf of U and V.

Q: Stock Market Prices. Supposeit is observedthat if the closing price per share of a certain stock A…

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Q: a. Are the events "the student thinks a hotdog is not a sandwich" and "the student thinks dogs…

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Q: Problem 1 Suppose Prof. are asked to optimize his trip. He has decided to spare 2 hours from his…

A: Let   x=hour spend in playing tennis   y=hour spend in reading    z=hour spend in watching football…

Q: 26. The probability of Marcelina scoring above an 85 in a Statistics 3 What is the probability of…

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Q: suggests distribution interval (8.5, 20 a depth (cm) oturbation layer in sediment in a certain…

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Q: Refer to the following payoff table:     State of Nature Alternative S1 S2 A1 75 −40 A2 0 100…

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Q: 12. During a laboratory experiment, the average number of radioactive particles passing through a…

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Q: 3. Let n = R 20 and = Borel set of A Does P given as: For each interval S(x; A) . = {d AIV 00

A: Consider, the Measurable space, V=Ω,F,P Ω=sample spaceF=σ-fileldP=probability space Properties of…

Q: 3. The breaking strength of yarn used in manufacturing drapery material is required to be at least…

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Q: (a) Show that the joint pdf for U, V is of the form f(z, y) = { e exp(-u- v), if (u, v) E A…

A: The Jacobian method of transformation will be used to find the joint pdf of U and V.

Q: if 4 cards are selected from a standard deck of 52 cards without replacement, find probability at le…

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Q: a) Determine the cumulative distribution function of photoresist thickness. b) Determine the…

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Q: Let X be the number of passengers that turn up for the flight. Give the PDF for X.

A: here given, An airline studied the data from their passenger records and noted that their customers…

Q: Obtain the cdf of X. Flx) = {x° (10 – 9x) Osxs1 x > 1 Graph the cdf of X. F(X) F(X) 1.0 1.0 0.8 0.8…

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Q: Given a standard deck of 52 cards. A player will be dealt 5 cards. (a) FIRST COMPLETE THE TABLE OF…

A: The number of ways of selecting r objects from a group of n objects are Crn Crn = n!r!n-r!