If you roll two dice, each with 8 faces/sides, what is the probability that you will get a sum of two for both dice? Write out each step and explain what you are doing in each step.

Q: A university class has 30 students: 17 are business majors, 5 are accounting majors, and 8 are…

A: Given problem Given that   A university class has 30 students. 17 are business majors. 5 are…

Q: four fair dice are thrown. What is the probability that the sum of the dice is divisible by 5?

A: Given problem Given that   Four fair dice are thrown. We have to find the probability that the sum…

Q: Question: For the following data class 50-54 55-59 7f 60-64 65-69 70-74 75-79 80-84 16f frequency 3f…

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Q: If f(x y) = 1-y 0 and y unif(0, 1), then J.p.d.f x and y (f(x, y)) is: -4. x-y 0 for y<x< 1,0 <y<1…

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Q: What is the probability of rolling a sum of five when two fair number cubes are rolled? A P(sum of…

A: Solution-: We want to find the probability of rolling a sum of five when two fair number of cubes…

Q: (b) either zero or one probability. Explain your solution in details. Let E be an event. If E, EC…

A: b)Given:Let E be the event.E and Ec are independent events.Find:Show that E has either zero or one…

Q: QUESTION Consider the following payoff Table The State of Nature Decision Alternative 0.77 1-0.77-…

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Q: QUESTION Consider the following payoff Table The State of Nature Decision Alternative 0.77 1-0.77-…

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Q: Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each…

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Q: E Show that the process. X(t) = A cos (wot +O) is wide_sense if A," A, wo are constants and a…

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Q: (a) Show that Sn/√n has mean 0 and standard deviation 1. (b) Using the Central Limit Theorem, show…

A: Given that the position of the walk after n steps is Sn=S0+∑i=1nXi  where S0=0 and Xi are…

Q: Determine the number of permutations of 2 members of a group from a group with 6 members.

A: Given n=6 r=2

Q: important? c) How many different words can you make from the letters in the word MISSISSIPPI?

A: 9)c) Given letter is "MISSISSIPPI"Total no.of letters in the word(n) = 11no.of times letter "I"…

Q: What's New ACTIVITY 4.3 AMORTIZATION SCHEDULE Direction: Complete the amortization table below of a…

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Q: a) Given events A, B, and C with their respective probabilities, P(A) = 0.30, P(B) = 0.40 and P(C) =…

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Q: Age - X Number of meal in a day - Y Frequency of snack in a day - Z Solve for E(Y|X = 17)

A: This is a question of conditional expectation where the notation E(Y|X=17) represents the expected…

Q: f(1, 1) = f₁(1)f₂(1) f(1, 2) # f₁(1)f₂ (2) for x = 1, y = 1,2 then x and y are: dependent O…

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Q: Theorem 9.3. Let X and Y be independent random variables with finite variances, and a, b ER. Then…

A: 9.3 1. Var(aX)=a2*Var(X)Therefore,Var(aX)=1n*∑i=1n(aXi)2-(1n*∑i=1n(aXi))2…

Q: Does not like running Prefers Coke 0.26 Prefers Pepsi 0.56 0.04 Total 0.70 0.30 1.00 Fill in the two…

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Q: In Bill the Boring's dryer there are 15 black shirts, 7 gray shirts, 9 black sweaters, and 6 gray…

A: Given problem Given that   In Bill the Boring's dryer, There are 15 black shirts 7 gray shirts 9…

Q: If 10% of the items produced turn out to be defective, then the probability that out of 10 items…

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Q: n. Assume that calibration attempts are independent. What is the probabi ·mont the specifications…

A: Given The probability is 0.8 that a calibration of a transducer in an electronic instrument conforms…

Q: A new law is favored by 90% of voters. Suppose 8 voters are randomly selected. a) Find the…

A: It is given that the new law is favoured by 90% of voters i.e. probability that the new law is…

Q: Find the mean and variance of the continuous random variable X with probability density function…

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Q: ces bolts, and for each bolt there is a probability p of it b nt bolts being independent. A large…

A: *Answer:

Q: 4. What is the first quartile of the nutritional status for the 7 individuals? 58.0 O 76.0 69.5 63.0

A: Arranging data in ascending   58, 63, 69.5, 69.5, 69.5, 76.0, 81.0

Q: The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a…

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Q: Evaluate the cumulative distribution function of a binomial random variable with n = 3 and p = 1/7…

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Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

A: Given that  Number of men = 5 Number of women = 4 Number of children = 3 Number of seats in the row…

Q: (a) On a particular day a random sample of 12 tins of peas is taken from the output of a canning…

A: 1.  a) Given that,  Sample size = n = 12 tins Sample mean = X= 301.8 gm Sample standard deviation…

Q: that arithmetic progression value of a so an 1. Find the value of 80+4 will form 3a+3, 6ati and

A: Given:  Three number 3a+3, 6a+1, 8a+4 form arithmetic progression then to find value of a?

Q: Question 19 In a class of 26 learners, 4 of the 12 females wear glasses and 3 males wear glasses.…

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Q: Rafael has 5 pairs of pants and 10 pairs of shorts. How many possible ways can he choose what to…

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Q: The Venn diagram below shows the 9 students in Mr. Howard's class. The diagram shows the memberships…

A: Given: N = 9

Q: Q8/ If the average height of 500 students in a secondary school is 151 cm, with a standard deviation…

A: The following information has been given: The sample size is n=500. The population mean is μ=151.…

Q: If a random variable X has the x² distribution with degree of freedom 7. Then P(2.167 < X < 6.346) =…

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Q: Cov(x,y)=v(y) if x=y True False оо

A: Given problem Given that   Cov( x,y ) = v( y ) if x = y Ans) True First Option

Q: Two unfair dice are thrown where odds are twice as likely to occur as evens. A. Find the probability…

A: here given , Two unfair dice are thrown where odds are twice as likely to occur as evens. so here…

Q: 2. A pair of dice is rolled thrice. What is the probability of getting doubles in the three rolls?

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Q: A student ran out of time on a multiple choice exam and randomly guessed the answers for two…

A: Let p be the probability of correctly solving the problem. Then p = 1/5 = 0.20 as there is only one…

Q: Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four…

A: Given 52 card on deck

Q: Directions: Calculate the following measure of position. (Ungrouped Data) Scores in a summative test…

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Q: Let assume three times tosses of an unfair coin as random experiment with μ = 2/3 (probability of…

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Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

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Q: box contains 6 glazed doughnuts, 4 jelly doughnuts, and 5 chocolate doughnuts. If a person selects a…

A: Given Glazed doughnuts=6 Jelly doughnuta=4 Chocolate doughnuts=5

Q: 1. a. In an election, party A received 47.3% of the votes. i. Find the probability that at a poll of…

A: 1. The provided information is…

Q: 10.- The percentages of osteopathic doctors who are women are given in the table for various years.…

A: It is given that 'p' is the percentage of osteopathic doctors who are women at t years since 1980.…

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: 2. a. The Intelligence Quotient (IQ) of adults is approximately normally distributed with mean 100…

A: Given: The IQ of adults is approximately normally distributed with mean 100 and standard deviation…

Q: Let X₁,..., Xn be a random sample from a continuous distribution with the probabilit density…

A: From the given information, fx,θ=3x-θ2, θ≤x≤θ+1 Given observations are 1.46, 1.72, 1.54, 1.75, 1.77,…