In an experiment, A, B,C, and D are events with probabilities P[A]= 2/8, P[B] =3/24, P[C] =15/24, and P[D]=9/24. Furthermore, A and B are disjoint while C and D are independent. Use this information to answer the questions below.

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

A: The total number of balls is 2+3+2 =7

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days…

A: In question, We have given mean 269 days with standard deviation of 14 days. Then we'll find, P(…

Q: Two coins were toss. What is the probability of getting more than one tail?

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Q: 3. Malcolm estimates he has a 75% (put into a fraction), chance of making the hockey team and a 3 in…

A: here use given information and define events

Q: Example 17. A money lender lends Rs. 1500 and charges Rs. 240 as overall interest. T'he amount was…

A:

Q: What is the expected foreign exchange rate?

A: here given  The current foreign exchange rate is 1 USD = Php 45. Assuming that the probability that…

Q: The random variable X, the particle size (in micrometers) distribution is characterized by the…

A: We have given the random variable X, the particle size distribution is character

Q: Consider the following two probability distributions: f (x) = 5!(0.99)" (0.01)5-- x = 0, 1, 2, 3, 4,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The joint PDF of X and Y is given as S2, 0< x< y<1 f(x,y) (0, otherwise

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Q: According to a monthly business report, XYZ enterprise closes 5 days each year due to typhoon. What…

A:

Q: Consider the following binomial probability expression below. The number of trials, the number of…

A: Given that

Q: Is the number of games won by a major league baseball team in a season related to the team batting…

A: Let X be the Games Won and Y be the Batting Average. Excel Procedure: Enter X and Y in…

Q: toss a fair coin three times, given that you have observed at least one head, the probability that…

A: Given You toss a fair coin three times, given that you have observed at least one head,

Q: The mean number of technical failure in ABC Solutions is 10 per batch. Find the probability that in…

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Q: Example 22. Draw the histogram for the following data : Marks 0 - 10 10 - 20 20 – 30 30 – 40 40 – 50…

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Q: Which of the following is not true about a distribution's shape? It the mean is much less than the…

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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: 8. The following study was conducted on the behavioral attack patterns of predators in three…

A: Let S=Sprint Strike , H=Shrun land , G=Grass land. Note: According to Bartleby guidelines expert…

Q: how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come…

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Q: For numbers 15-24, consider the following. The joint pmf of X and Y are given in the table below: Y…

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Q: Example 21. B arranges to pay a debt of Rs. 9600 in 48 annual instalments which form an arithmetic…

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Q: Example 4. In a survey of 2000 mobile it was found that 1700 users liked Nokia and 1500 users liked…

A: In question,  Given that in a survey of 2000 mobile it wa found that 1700 users liked Nokia and 1500…

Q: From the consulting company records 70% of the stocks are profitable over the next year. What is the…

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Q: Estimate the value of sales for the year 1985 by using the method of least square for t nalysis.…

A: Least squares trend: Steps to construct scatter plot in Excel: Enter the Year and Sales in Excel…

Q: Example 16. Mr X saved Rs. 18500 in 10 years. In each year after the first he saved Rs. 200 more…

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Q: Example 19. A lamp lighter has to light 100 gas lamps. He takes 1½ minutes to go from one lamp post…

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Q: It's G Firm 25th anniversary. They are giving prizes to every 25th response. Find the probability of…

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

A: The events are defined as follows: R: The ball drawn is red B: The ball drawn is blue G: The ball…

Q: Determine whether each group of events is Mutually Exclusive or NOT.

A: here use basic probability  here use basic of mutually exclusive and not mutually exclusive events…

Q: .How do I draw a normal form for this extensive form 3-player game?

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Q: Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in one day, then…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in one day, then…

A:

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

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Q: 9. Fit a straight line trend by the method of least squares. Year: 1990 1991 1992 1993 1994 1995…

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Q: 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many…

A: Permutations: A permutation of different objects taken r at a time is an arragement of r out of the…

Q: confidence inferval for the actual percentage of students who want to pursue a college course.…

A: here from given  n = sample size  = 600 x= no of student expressed interest to purchase a college…

Q: If X and Y are independent, then p(X, Y) = 0

A: The basic rules for mean and variance when two variables are independent are  E[XY] = E[X] E[Y]…

Q: "ple 29. Draw a less than ogive for the following frequency distribution: 1.Q. 70 - 80 90 – 100 |…

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Q: In a group of people everyone rolls a die. What is the smallest number of people that should be in…

A: When some objects are arranged or a rearrangement is made for a number of objects arranged in an…

Q: S The profit made by 130 firms in a year are as follows. Find the arithmetic mena Profits (*000) Rs:…

A: Given that  Frequency distribution table  Profit  Number of firms  1-2 5 2-3 27 3-4 36…

Q: A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed…

A: Given that,  Probability that 1 is correctly received is 0.95  Is P(B)= 0.95 P(B bar)= 1-0.95= 0.10…

Q: If the random variable X has an exponential distribution with rate parameter A = 11.42 then, given…

A: We have given that λ = 11.42 We know that, Var(X2)= E(X4)-(E(X2))2 Given that X~exp(11.42) So…

Q: (b) Let the continuous random variable X has probability density function as follows, (k(x+2)², -2<x…

A: For the given data Find ( i ) K= ? ( ii ) P (-1&lt;=x&lt;= 1 ) = ?

Q: The weight of male contestants is normally distributed with a mean of 90 kg and a standard deviation…

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Q: Of nine executives in a business firm, three are married, four have never married, and two are…

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Q: Suppose that visitors to a state carnival which is open from 5 pm to 10 pm daily arrive according to…

A: Solution: From the given information, arrival of visitors follows a non-homogeneous Poisson process.…

Q: A game is played using one die. If the die is rolled and shows 6, the player wins $10. If the die…

A:

Q: If a potential customer is exposed to 4 promotions in a given month, what is the probability that…

A: here given ,     the number of promotions to which a customer has been exposed.  The  dependent…

Q: (2) Determine the areas under the normal curve given the mean of the distribution u = 80 and o =…

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Q: A swim team consists of 5 boys and 4 girls. A relay team of 4 swimmers is chosen at random from the…

A: Solution-: Given: Number of boys=5 and Number of girls=4    Total=5 (Boys) +4( girls)=9  A relay…