A game involves tossing a balanced coin three times. The coin is tossed independently by three people. If the first head occurs on the first toss, the person playing the game will win R15. If the first head occurs on the second toss, the person will win R30 and if the first head occurs on the third toss, the person will win R45. If no heads are observed, the person will lose R15 (that is win -R15). Let X be the number of heads observed and Y be the amount won by the person playing the game. Determine and tabulate the joint probability function of X and Y.

A game involves tossing a balanced coin three times. The coin is tossed independently by three people. If the first head occurs on the first toss, the person playing the game will win R15. If the first head occurs on the second toss, the person will win R30 and if the first head occurs on the third toss, the person will win R45. If no heads are observed, the person will lose R15 (that is win -R15). Let X be the number of heads observed and Y be the amount won by the person playing the game. Determine and tabulate the joint probability function of X and Y.

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Description: A game involves tossing a balanced coin three times. The coin is tossed independently by threepeople. If the first head occurs on the first toss, the person playing the game will win R15. If thefirst head occurs on the second toss, the person will w

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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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…