If 3 different 16-sided dice were rolled at the same time, what would be the cardinality of the sample space, n(S)
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If 3 different 16-sided dice were rolled at the same time, what would be the cardinality of the
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- An experiment is performed were in 6-sided die is rolled and then 3-color spinner is spun. The possible outcomes for each event are 1, 2, 3, 4, 5, and 6 for the 6-sided die and red(R) , blue(B), and yellow(Y) for the 3-color spinner. Identify the sample space for this experiment.A cabinet has three drawers. In the first drawer there are 5 gold balls. In the second drawer there are 3 silver balls. In the third drawer there are 3 silver balls and 4 gold balls. An experiment consists of choosing a drawer, and then choosing a ball inside it. Each drawer is equally likely to be chosen, and within each drawer, each ball is equally likely to be chosen. For example, P(A gold ball is chosen | Drawer 3 is chosen) = 4/7. Given that a gold ball is chosen, what is the probability that Drawer 1, the drawer with 5 gold balls, was selected? 0.483 Now what if all the balls are numbered from 1-3 based on which drawer they were in, and then taken from the drawers and placed into a large pile of 15 balls? Each ball in this pile is now equally likely to be chosen, unlike in the previous part. Given that a gold ball is chosen, what is the probability that the gold ball has the number 1 on it, so that it came from the drawer with 5 gold balls? 5/12In order to conduct an experiment, 5 subjects are randomly selected from a group of 43 subjects. How many different groups of 5 subjects are possible.
- Two groups of customers A and B, have certain fruit drink preferences, consisting of 100 people each. Group A was given a taste test for a new fruit drink but not group B. It was found that 75 and 65, respectively change preferences. At 0.01 level of significance, test that the new fruit drink is preferred by the customers.In an experiment, a coin is tossed until the head is observed for the second time. What is the sample space? Can you use set-theoretic expressions to describe the sample space?Could you explain the probabiliy of getting exactly one complete pair? (not at least one complete pair). Also could you specify sample space in terms of set notation?
- Say that COOP Ale Works, an Oklahoma brewery, uses three production lines to manufacture beer cans. The table below gives percentages of nonconforming cans, categorized by the type of nonconformity, for each of the three lines during a particular year. During this period, line 1 produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 was responsible for 600 nonconforming cans. Suppose that one of these 1500 cans was selected at random. Table attached in Image. a. What is the probability that the can was produced by line 1? b. What is the probability that the reason for nonconformance is a crack? c. If the selected can came from line 1, what is the probability that it had a blemish? d. Given that the selected can had a surface defect, what is the probability that it came from line 2?A researcher is using a chi-square test to determine whether people have any preferences among three brands of televisions. The null hypothesis for this test would state that Question 10 options: there are real preferences in the population one-third of the sample prefers each brand one-third of the population prefers each brand in the population, one brand is preferred over the other twoA bag contains three different balls, one red (r), one blue(b), one white(w). TWO balls are drawn from the bag without replacement one after the other (at random without looking) and the colors recorded. This means once the first color is drawn, the first ball is kept out of the bag and only 2 colors remain when the second ball is drawn. List the sample space. [Use lower case letters for the colors, preserve the given order, commas separating pairs, no spaces.]
- Please send me answer within 10 min!! Do all 2 parts. I will rate you good for sure!!44;(‘juyg((5(()?? )(::4(cfhyrrry5555Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at randomandwithoutreplacementfromtheboxandnotethetwonumbersobserved. The sample space S consists of the three equally likely outcomes {(1,2),(1,3),(2,3)} (disregarding order). Let X be the sum of the two balls selected.(a) What is the distribution for X? (b) What is the probability that the sum is at least 4? (c) What is the mean of X?
