If you roll two dice, each with 8 faces,  what sum is most likely to appear from the two dice?   Write out each step and explain what you are doing in each step.

Q: Given a J.p.f of x and y as f(x,y) = {x+y for 0<x<1,0<y<1, 0 O.W then the mean of x and y ( E(x, y)…

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: Let P denotes the required population in the year 2000. Hence from above data we get following…

Q: What is the probability that the card you pick from a deck of 52 playing cards is a heart or a red…

A: The number of hearts is 13.

Q: A group of 20 students have been on holiday abroad and are returning to Norway. In the group, there…

A: Given: A group of 20 students have been on holiday  7 of them brought too much alcohol The customs…

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: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

A: Given problem Given that   As you are walking in the forest you look up just as a boulder becomes…

Q: Given a fair die and a fair coin, what is the probability of rolling an even number and get- ting…

A: Given Total number of possible outcomes =12

Q: The Venn diagram below shows the 11 students in Ms. Bailey's class. The diagram shows the…

A: Given n=11

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

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Q: A spinner has 10 equally sized slices numbered from 1 to 10. Some are white and some are grey, as…

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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: If X~B(20,0.3), Obtain E(X) and Var(X).

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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: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

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Q: 1 (a) On a particular day a random sample of 12 tins of peas is taken from the output of a canning…

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Q: me are white and some are grey, as shown below. 6 1 4 3 swer the following questions. Write each…

A: Given that

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

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Q: A family with 6 children, 3 boys and 3 girls, is there a probability that the number of boys is less…

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Q: The net weight in pounds of a packaged chemical herbicide is uniform for 49.68 <x< 50.24 pounds. (a)…

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Q: How many distinguishable words, whether they have meaning or not, can be made using all the letters…

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

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Q: The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the…

A: Solution

Q: Suppose that there are 5 white marbles, 2 green marbles, 1 red marble are in the container. You are…

A: Given that  Number of white marbles = 5 Number of green marbles = 2 Number of red marbles = 1 Total…

Q: Evaluate the cumulative distribution function, F, for the given random variable, X, at specified…

A: Given Evaluate the cumulative distribution function, F, for the given random variable, X, at…

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: Process X(t) = A cos (wot +O) is wide- sense stationary if A, wo: are constants and is Uniformly…

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Q: (a) In a series of independent tosses of a coin, with probability p of the coin landing 'heads', and…

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Q: ) Geometric distribution p(x) = p²-¹(1 - p); ) Poisson distribution p(x) = e-; 21

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Q: Let T follow the student distribution with degree of freedom v = 12. If P(T> k) = 0.02, then k…

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Q: A university class has 27 students: 13 are business majors, 8 are art majors, and 6 are history…

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Q: What is the verdict for this test? O t-stat>t_c, so we do not reject the null. O t-stat t_c, so we…

A: Decision rule: If the test statistic is greater that the critical value, reject the null…

Q: The stock of a warehouse consists of boxes of high, medium and low quality lightbulbs in respective…

A: Let High (H), Medium (M), Low (L), Satisfactory (S) P(H) = 1/5 = 0.2 P(M) = 2/5 = 0.4 P(L) = 2/5 =…

Q: Remaining Time: 1 hour, 01 minute, 13 seconds. Question Completion Status: QUESTION 16 Copy of Mega…

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Q: Probability 35% of subjects Sent to prison and 30% pleaded guilty Those not Sent to prison 50%…

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Q: Suppose that we have a group of 10 people. Of these 10, 9 own cars, 3 own boats, and 2 own both a…

A: Since we do only up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Q: Family has two kids, the first child is a Boy. What is the probability that the second kid is a…

A: Given that, a family has two kids, where the first child is Boy. We need to find the probability…

Q: Find the total probability of the event A if X is a normally distributed random variable with…

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Q: A card is drawn from an ordinary deck. Find the probability that it would be any of the face cards…

A: Step1   Total number of cards = n(T) = N= 52

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: Exercise 3 Let assume independent tosses of an unfair six-sided die as random experiment with μ = 1…

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Q: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

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Q: (a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more…

A: Solution The given distribution is a continuous probability distribution function.

Q: An automobile manufacturing plant produced 36 vehicles today: 17 were trucks, 5 were motorcycles,…

A: It is given that Number of trucks = 17 Number of sedans = 14 Total = 36

Q: The nAChR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and…

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Q: Draw a uniform distribution graph of eating a random amount of a 7-ounce jar of salsa.

A: uniform distribution:

Q: A telephone exchange receives, on average, 5 calls per minute. Find the probability (i) that in a…

A: Dear student as per guidelines we answer the first three subparts only.

Q: Given two fair number cubes, what is the probability of rolling doubles four times in a row? A…

A: The odds of rolling doubles is 1/6.

Q: A new vaccine against the coronavirus has been developed. The vaccine was tested on 10,000…

A: Solution To find the probabilites we will use Bayes theorem.

Q: The Smith Trucking Company claims that the average weight of its delivery trucks when fully loaded…

A: Given,mean(μ)=6000standard deviation(σ)=120sample size(n)=36α=1-0.90=0.1α2=0.05Z0.05=1.645…