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Please help me! (question uploaded for free by Qanda) QANDA Teacher's SolutionIf there is anything that you don't understand, feel free to ask me! Still don't get it? Try asking QANDA teachers! This preview shows page 9 - 12 out of 38 pages. Example 2: Tossing CoinsSuppose two coins are tossed. Let X be the random variable representing the numberof heads that occur. Find the values of the random variable X.Page | 9MODULE 1 Possible OutcomesValue of the Random Variable(number ofheads)Solution:StepsSolution1. Determine the sample space. LetH represent head and T for tail.The sample space for this experiment is: S ={TT, TH, HH, HT}.2. Count the number of heads in eachoutcome in the sample space andassign this number to this outcome.PossibleOutcomesValue of the Randomvariable Z (Number ofheads)HH2HT1TH1TT0So, the possible values of the random variable X are 0, 1, or 2.Guide Question:1.How do you find the possible values of a random variable?Activity 3Exercise 1: Drawing Balls from a JarPossible OutcomesValue of Random Variable Y(number of pink balls)Two balls are drawn in succession without replacement from a jarcontaining 6 pink balls and 5 purple balls. Let Y be the random variablerepresenting the number of pink balls. Find the values of the random variable Y.Complete the table below.Guide Questions:1.Were you able to complete the table? If yes, how? If no, why?Page | 10MODULE 1 2.Were you be able to find the values of a random variable? Ifyes,how? If no, why?Exercise 2: Tossing Four CoinsFour coins are tossed. Let T be the random variable representing thenumber of tails that occur. Find the values of the random variable T.Possible OutcomesValue of Random Variable Y(number of tails)Guide Questions:1.How will you describe a random variable in your own words?2.How do you find the possible values of a random variable?The concept of the probability distribution for adiscrete random variable will be introduced in this activitysheet. You will learn how to construct a probabilitydistribution using your knowledge in getting the probabilityof an event. When we decide to draw a conclusion from anexperiment like tossing a coin, rolling dice, or taking ballsfrom a jar, it requires the use of random variable and probability distribution. You willalso learn how to determine if the given distribution represents a probability distribution.Random variables have distributions. In this activity sheet, we will describe theessential properties of distributions of discrete random variables. Distributions can havemany forms, but there are some special types of distributions that arise in manydifferent practical contexts. We will discuss only the probability distribution.One great example in mind is observing the number of cars passing through yourhouse in a single day. You cannot say which color of the car will first pass. Thisexperiment is random. Here, we are not interested in the type of cars passing but intheirnumber(like blue – 2, red – 3, etc.). The number of these cars can be anythingstarting from zero but it will be finite. This is the basic concept of random variables andits probability distribution. Here, the random variable is the number of the cars passing. Upload your study docs or become a Course Hero member to access this document Upload your study docs or become a Course Hero member to access this document End of preview. Want to read all 38 pages? Upload your study docs or become a Course Hero member to access this document Tags Probability theory, Discrete probability distribution When 4 coins are tossed the value of a random variable number of head is?Any 1 of the 4 outcomes is 'Tail' and the remaining three are 'Head' Hence, Z=3Z=3 in this case. All the four outcomes are 'Head'. So number of heads is 4.
What is the probability of getting 4 heads when tossing a coin 4 times?N=4: There is only one possible outcome that gives 4 heads, namely when each flip results in a head. The probability is therefore 1/16.
When 4 coins are tossed possible outcomes is?By tossing four coins, the possibility are (H,H,H,H), (T,H,H,H), (H,T,H,H), (H,H,T,H), (H,H,H,T), (T,T,H,H), (T,H,T,H), (T,H,H,T), (H,T,T,H), (H,T,H,T), (H,H,T,T), (T,T,T,H), (T,T,H,T), (T,H,T,T), (H,T,T,T), (T,T,T,T) where H shows happening of head while tossing a coin and T shows happening of tail while tossing a ...
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Suppose four coins are tossed let X the random variable be the number of heads on all four coins
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