1. The number of typing errors on a page follows a Poisson distribution with a mean of 6.3.Find the probability of having exactly six (6) errors on a page.2. One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue,and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag isselected at random. If 1 ball is drawn from the selected bag, what is the probability thatthe ball drawn is yellow?3. In a viral pool test it is known that in a group of five (5) people, exactly one (1) will testpositive. If they are tested one by one in random order for confirmation, what is theprobability that only two (2) tests are needed?

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Answered: 1. The number of typing errors on a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3) Below is the distribution of 80 graduates with their degree type and average grade. Find the probability that a randomly selected graduate has a B.S. degree, given that the graduate has a B average. ((please check images for accuracy, thank you!!!))
5. Approximately 10% of American high school students drop out of school before graduation. Choose 20 students entering high school at random. Find the probability that a) No more than 10 drop out. b) All stay in school and graduate c) At least 18 graduate. Find the mean and variance of the number of students finished high school and graduated.
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
10. Ten percent of computer parts produced by a certain supplier are defective. What is the probability that a sample of 10 parts contains more than 3 defective ones?
1. Of all freshman at a Snow college, 16% made the dean's list in the current year. As part of a class project, students randomly sample 40 freshman and check if those students made the list. Calculate the probability your sample has more than 8 students from the dean's list. Check conditions (if one doesn't check out, note your concern and continue anyway), describe sampling distribution, state probability.
13. In a certain population, heights (in inches) are normally distributed with a = 67 and a = 3. Find the probability that a person selected at random has a height between 63 and 71 inches. Refer to Appendix A of the textboun. -
10.2.% of the population is 65 or older . Find the probability that the following number of persons selected at random from 50 people are 65or older . The probability that at most 2 are 65 or older is ?
6. Roll one fair four-sided die and one fair five-sided die. The four-sided die is red and the five-sided die is blue. Let X be the outcome on the red die. Let Y be the outcome on the blue die. Find the mean for the distribution of X + Y.
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. 2
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
1. In a factory that produces pieces of ready-made concrete, if the percentage of production of defective blocks is 0.6, if we draw a sample of 5 pieces: find the probability of getting 3 defective pieces. *
A manufacturing plant knows that in reality 80% of products made are perfect. An inspector selects four products at random. What is the mean number of perfect products in any sample of 4? It can be assumed that each product is independent of the others.

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