6. The following data gives the distribution of marks scored by a set of students. Find the mean and quartiles of the distribution. Percentage of 20 & more 30 & more 40 & more| 50 & more| 60 & more| 70 & more Marks No. of students 80 72 60 27 10

Q: Let f(x)=k(4x -x²) if 03. (a) For what value of k is f(x) a probability density function? (b) For…

A: Given that  Probability density functions of X  f(x)=k(4x-x2)  , 0<x<3 f(x)=0     , x<0 ,…

Q: Saved The probability of A is 0.4. The probability of B is 0.5. The probability that neither A nor B…

A: We have given that P(A) = 0.4 P(B) = 0.5 Probability that neither A nor B happens is P(A ∪ B)c = 0.1…

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Q: ... u-41, consider the following. The amount of gold X (in ounces) that a prospec- tor digs in a a…

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Q: A computer room contains 100 PCs. The probability that a PC breaks down in a week is 0.005.…

A: Givensample size(n)=100probability that a PC breaks down in a week(p)=0.005

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Q: Example 10. In an apartment of 25 houses, it was observed 15 houses posses Matiz car, 12 houses…

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Q: Suppose that events F and S are conditional independent events given D and -D respectively with…

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Q: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Let p be the proportion of vaccinated people. Given that p = 0.52 Let X denotes the number of…

Q: 2. Consider the following circuit. The probability that each device functions correctly is p1 = 0.7…

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Q: fair die is rolled three times. A 2 is considered success while all other outcomes are failures.…

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Q: 4.) Determine the range and standard deviation of 60, 58, 62, 67, 48, 51, 72, 70

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Q: A fair coin is flipped 3 times. What is the probability that at least one of the flips comes out…

A: When we flipped a coin  3 times, then all the possible 8 outcomes are  { HHH, THH, HTH, HHT, TTH,…

Q: convic-tions by early adulthood. Out how many would you expect to have felony convictions by early…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS    here use binomial distribution  n = 50  p =…

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: Given that, two dice (one red, one green) are rolled. Consider the following events:- A: the red die…

Q: Tuguegarao patrol group is concerned about the number of motor accidents along Buntun Highway. They…

A: *Answer:

Q: 4. It is your little brother's birthday, and he has invited 5 of his friends to come to his party.…

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Q: P(35<x<37)       50 murders surveyed  0.61% of the murders were cleared  The probability that…

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Q: Can you explain this to me?  Here is the question: How many seven-symbol computer passwords can be…

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Q: 4. The distribution of the time until change (in days) of a Web Days until Changes 1.5 site is…

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Q: Consider the probability density function if x 1. 2x4 Find E(X). Select one: | -IN -|0 O O O O

A: Obtain the expected value of E(X).   The expected value of E(X) is obtained below as follows:   From…

Q: Which of the following is true about the socio-ecological impact matrix? O a. It takes a life cycle…

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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…

Q: SITUATION 6 (a) The elongation of a steel bar under a particular load has been established to be…

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Q: The line of best fit through a set of data is y = - 42.824 – 3.033x According to this equation, what…

A: It is given that Regression line of y on x is y = -42.824 - 3.033x

Q: 0.95 C 0.95 0.4 0.05 0.05 0.9 0.9 0.6 a) Draw a tree diagram for the given two stage binary…

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Q: (a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the…

A: Introduction: Denote X as the number of trucks that will fail the test.

Q: 4. What is the probability of rolling a (a sum) of 5, or (a sum) of 6 or doubles? Let A be Let B be…

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Q: Example 4. How many terms of the series 1, 6, 11, sum is 148, be taken so that their

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Q: Example 6. In a survey of 500 students in a college 180 were listed as drinking Tea, 275 ás drinking…

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Q: A random sample of 16 grade 12 students was randomly selected and interviewed, and the number of…

A: Let M denote the sample mean from sample of size n = 16. It is given that Sample size n = 16…

Q: rolled five times. What is the probability that a prime numbe be

A: When a single die is rolled then there are 6 possible outcomes  {1,2,3,4,5,6}

Q: 2. (1) Compute for the Relative Frequency and Percent Relative Frequency for the Frequency…

A: Given: N=160

Q: The accompanying table shows the âges (in years) of 11 Chliun Click here to view the data table.…

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

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Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 0.1. What is the probability that A or B…

A: Given,P(A)=0.5P(B)=0.25P(A∩B)=0.1

Q: 1. If ‘m’ is the mean of a Poisson distribution, the standard deviation is given by ___________

A: We have given that, If mean of Poisson distribution is 'm' then standard deviation is given by?

Q: In a standard deck of 52 cards, what is the smallest number of cards you must draw to guarantee…

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

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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: Deeall th at the gamma qun etion is dycned as amm a S. yas r>o. you c an use nithout prooy that'…

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Q: There are two random variables X and Y, and their correlation coefficient pX,Y = 0.7. Now, we have…

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Q: Example 7. In a random selection of 64 of 600 road crossing in a town, the mean number of automobile…

A: We have given that Sample size (n) = 64Sample mean (x̅) = 4.2Standard deviations (s) =…

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

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Q: (b) Considering g(x), determine P(0.5 = 2.O)

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Q: Suppose we select, without looking, one marble from a bag containing 7 red marbles and 8 green…

A: From the provided information, The bag contains 7 red marbles and 8 green marbles. Total marbles = 7…