P(8, 8) P(7, 4) P(6, 3) P(5, 3) P(10, 7) P(6, 3)- P(7, 5) P9, 6) C4. 2) Р(6. 4) P(9, 5) P(6, 4) P(5. 3) P(4. 2) C(10, 5) C(9, 9) C(7, 3) C(8,5) C(5, 3) C(12, 4) C(14, 7) С3,2) С(8, 3) C(5. 1) C(4, 2) C(8, 2)
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- It has been discovered that a sub-species of animal, the Spotted Manumar, has 4 different blood types: M, N, P and MN. Type MN is uncommon: Only 10% of them have this type. The remaining 90% of the animals are equally split among the 3 other types. On another continent, there is another sub-species of the Manumar. The Furry Manumar also has the same 4 blood types and the researchers wonder if the proportions of bloodtypes matches that of the Spotted ones. If we hypothesized that the Furry ones did match the Spotted ones, and 200 Furry Manumars were to be collected at random, you'd expect the number that have bloodtype MN to be 1 and the number to have bloodtype M to beSuppose you are playing a game of Yahtzee. You know that you play with 5 dice, each with 6 sides. Since the dice are all rolled at the same time, let the roll (5, 4, 3, 2, 1) to be equal to (2, 4, 5, 1, 3). Assume for this question that we will only be rolling the dice once. (i) How many ways can you roll all the dice? (ii) To win 50 points you would need all the dice to roll the same number (ex. (1, 1, 1, 1, 1)). How many ways can you win the 50 points? (iii) Suppose you are trying to get your dice to roll only consecutive numbers (ex. (1, 2, 3, 4, 5) or (2, 3, 4, 5, 6)) How many different ways are there to do this? (iv) Suppose instead you are trying to get your dice to roll 4 consecutive numbers (ex. (1, 2, 3, 4, 1) or (2, 3, 4, 5, 3)) How many different ways are there to do this? (make sure to not count any only consecutive numbers) This is a combinatorics math counting problem.) A recent poll surveyed 1587 adults (18 years of age and older, residing in the contiguous United States, contacted by phone from randomly selected homes). Residents who agreed to participate were categorized according to their political party preference (Democrat, Republican or other) and their gender (male or female). To make life easier, we’ll focus on the responses from the south (37% of the sample or 588 people). Our question is about the “Gender Gap” in American politics (the gender gap is described as differences in voting preferences for men and women). Is voting preference independent of gender? What test should you use and why?
- A firm employs 10 programmers, 8 systems analysts, 4 computer engineers, and 3 statisticians. A "team" is to be chosen to handle a new long-term project. The team will consist of 3 programmers, 2 systems analysts, 2 computer engi-neers and statistician (a)In how many ways can the team be chosen? (B)C. Evaluate the following 1. P(, 10) 4. P(15, 1) 2. P() 5. P(1,7) 3. P(s)A wheel of fortune has 5 sectors, 1 green, 2 red and 2 yellow. The oered game has the following rules: If the wheel stops at the green sector, you win. If the wheel stops at a red sector, you loose. If the wheel stops at a yellow sector, you shall roll the wheel again.Calculate P(win after one roll), P(win after two rolls), P(win after three rolls) and P(win)
- In a gambling game, I roll two dice and win $1 if the sum of my two rolls is largerthan 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, Idon’t lose or win anything. I am going to repeat this game 72 times. c) Now make a box model for the number of times I win, including the values onthe tickets, the number of repeats of each ticket, and how many draws we willmake with replacement from the box. The average of the tickets in the box from (c) is ___________ and the SD is___________.Suppose that we roll three (six-sided) dice 600 times. Find an approximation for theprobability that we obtain the “triple-one” combination (each dice showing the value 1)at most 3 times.List 5 outcomes that are in this sample space.
- I need help on both questions. Thank you in advance!B. Perimeter Shot - A perimeter shot, also known as a mid-range shot, is a jump shot or general field goal attempt that an offensive player can take inside of the three-point line and is worth 2 points. To practice this, Piel has to choose four different shooting spots among the five different spots in where he is comfortable of shooting. In previous games, his shot selection is 5% from the right baseline (Spot 1), 15% from the right elbow (Spot 2), 20% from the top of the key (Spot 3), 25% from the left elbow (Spot 4) and 35% from the left baseline (Spot 5). In this drill, a shooting spot can be selected once, multiple times, or not at all. This drill illustrates a random experiment with distribution. To help Piel decide, below is the partial table for the means and standard deviations of the random variable, Y, or the number of times he shoot the ball in a shooting spot. Shooting Spot E[Y] SD[Y] Spot 1 0.2 0.4359 Spot 2 0.6 0.7141 Spot 3 0.8 0.8000 Spot 4 the mean of 1.4 by will…2. Let A 3 {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1,9, е, а, с, 0}, and C 3D {2, с, 10, 9, 8, — 4, 11, е, 3, 0}. Find AПВ, AUB, А-С, Вnc