the expectation of the sum of points in tossing a pair of fair dice is: - the variance is:
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the expectation of the sum of points in tossing a pair of fair dice is:
- the variance is:
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- Let X be the discrete r.v. that represents the number of Boys in a three-child family. Assume that the outcomes boys and girls are equally likely. What is the expected value of this discrete probability distribution? What is the variance?A box contains 5 green and 3 orange balls. If three balls are taken at random with replacements, what is the variance number of orange balls? A. 45/8 B. 15/8 C. 1/8 D. 9/8In an analysis of variance, df between is determined by counting the number of treatment conditions and subtracting one. O True O False
- 4 Thirty five percent of the students in a class of 100 are planning to go to graduate school, Find the variance of this binomial distributionQ3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, yourandomly select a ball, see the color of it and put it back in the bag. You keep doing thisrepeatedly.a. What is the probability that you get the first red ball on the 5th turn?b. How many turns are expected to get one non-white ball?c. What is the variance of the number of turns required to get one blue ball?
- A farmer has six geese, each of which lays an egg with probability 2/3 (independently of all the other geese). Suppose that the farmer sells each egg for five gold coins. What is the variance of the number of coins received?2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 27) A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints 0 1 2 3 4 5Probability 0.18 0.26 0.35 0.09 0.07 0.05 What is the variance of complaints received per week? Please round your answer to the nearest hundredth.
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