15. A jar contains 36 disks: 9 each of four colors - red, green, blue, and yellow. Each set of disks of the same color isnumbered from 1 to 9. Suppose you draw one disk at a random from the jar. Define events B: get a blue disk, andE: get a disk with number 8.a) Make a two-way table that describes the sample space in terms of events B and E.b) Find P(B) and P(E).c) Write the event "blue eight" in symbolic form. Then find the probability of this event.d) Explain why P (BU E) # P(B) + P(E). Then use the general addition rule to compute P(BU E).19. A national survey interviewed several thousand teens in grades 7 through 12. One question was "What do youthink are the chances you will be married in the next 10 years?" Here is a segmented bar chart of the responses bygender. Use the graph to discuss if there is an association between gender and responses to this question.Percent10080-604020-0Female MaleAlmost certainA good chanceA 50-50 chanceSome chance, probably not■Almost no chance

The information provided in the question are as follows : “Since you have asked multiple question,…

Answered: 15. A jar contains 36 disks: 9 each of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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C1. A collector wants to collect football stickers to fill an album. There are n unique stickers to collect. Each time the collector buys a sticker, it is one of the n stickers chosen independently uniformly at random. Unfortunately, it is likely the collector will end up having "swaps", where he has received the same sticker more than once, so he will likely need to buy more than n stickers in total to fill his album. But how many? (a) Suppose the collector has already got j unique stickers (and some number of swaps), for j = 0, 1, 2, . . .‚ n – 1. Let X, be the the number of extra stickers he buys until getting a new unique sticker. Explain why X, is geometrically distributed, and state the parameter p = p; of the geometric distribution. (b) Hence, show that the expected number of stickers the collector must buy to fill his album is n n k=1 k (c) The World Cup 2020 sticker album required n = 670 unique stickers to complete it, and stickers cost 18p each. Using the expression from…
A sample of 3 balls is to be selected at random from an urn containing 20 balls numbered 1 to 20. Six balls are green, 4 balls are white, and 10 balls are black. How many different samples can be selected?
Sample spaces For each of the following, list the samplespace and tell whether you think the events are equallylikely:a) Roll two dice; record the sum of the numbers.b) A family has 3 children; record each child’s sex inorder of birth. c) Toss four coins; record the number of tails.d) Toss a coin 10 times; record the length of the longestrun of heads.
When making an ice cream sundae, you have a choice of 33 types of ice cream flavors: chocolate (C), vanilla (V), or Moose Tracks (M); a choice of 22 types of sauces: hot fudge (H) or butterscotch (B); and a choice of 22 types of toppings: whipped cream (W) or fruit (F). If you are choosing only one of each, list the sample space in regard to the sundaes (combinations of ice cream flavors, sauces, and toppings) you could pick from. Separate the elements of the sample space with commas.
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Three boards are selected from each lot randomly for inspection. If we number the boards 1, 2, 3, 4, and 5, a possible random selection is (2, 4, 5). a. List the ten different possible selections. b. Suppose that the boards 1 and 4 are the only defective boards in a lot of five. Three boards are to be chosen at random. Define X as the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X.
In a statistics class, there are 45 students where 3/5 of them are girls. In how many ways can a five-student committee be formed with exactly one boy? O 40950 O 315900 411075 O 82620
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
The following are the ages of 3 jeepney passengers in a EXAMPLE 2: waiting shed: 8, 12, and 14. A sample with size 2 is chosen to ride in the current jeepney. Find all the possible combination of samples with replacement. Use the formula №n: 3² = 9 combinations. First Draw 8 12 14 Second Draw 8 12 14 8 12 14 8 12 14 Samples 8, 8 8, 12 8, 14 12, 8 12, 12 12, 14 14, 8 14, 12 14, 14 MEAN 8 10 11 10 12 13 11 13 14
Suppose that you have 10 cards. 3 are blue and 7 are orange. The 3 blue cards are numbered 1,2, and 3. The 7 orange cards are numbered 1, 2, 3, 4, 5, 6, and 7. The cards are well shuffled. You randomly draw one card. • B = card drawn is blue • O = card drawn is odd-numbered How many elements are there in the sample space? [ Select ] ["7", "10", "2", "3"] P(B) = [ Select ] ["0.7", "0.2", "0.5", "0.3"](Give your answer in decimal form.
3. A Geneticist observes a hybrid variety of beans. He counts the number of seeds in each of 50 bean pods. The data is as follows. Number of seeds per bean pod: 4, 2, 3, 5, 3, 2, 1, 3, 1, 4, 5, 2, 2, 4, 7, 5, 3, 2, 3, 1, 5, 6, 4, 3, 4, 2, 5, 3, 5, 9, 2, 1, 3, 3, 2. 1, 4, 5, 2, 2, 4, 3, 2, 8, 4, 5, 6, 3, 2, 3. Form a suitably frequency table.
Consider an experiment in which there are 4 groups and within each group there are 12 participants. What is the degrees of freedom for the denominator (within)?

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