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pam 210 hw2

# pam 210 hw2 - Expected value of heads in a sample of 20...

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PAM 210 Introduction to Statistics Homework 2 By Julie Melamud Net ID: jm486

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Step 1: Coin Tossing Round Outcome 1 0 2 1 3 0 4 1 5 0 6 0 7 0 8 0 9 0 10 1 11 1 12 1 13 1 14 0 15 0 16 0 17 0 18 0 19 0 20 1 Step 2: Reporting Procedure and Results Coin Selection Procedure: When picking a coin, I simply stuck my hand in my bag full of loose change, and randomly selected one of them. The coin was a dime. Coin Tossing Procedure: I threw the coin up in the air and let it drop onto the desk. I repeated this with the same coin 20 times, observing the outcome of each toss, whether it is tails or heads. Heads is denoted by 1, while tails by 0. In tossing the coin, I noted that heads appeared 7 times and head appeared 13 times. There were 7 heads out of 20 tosses, making the percentage of heads: 35%
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Unformatted text preview: Expected value of heads in a sample of 20 coin tosses: The expected value of head is 10. I came up with this value because there are only two possible outcomes when flipping a coin: head or tails. The probability of getting a head is the same as the probability of getting a tail. Therefore, the probability of each sample point (heads or tails) must be equal to 0.5. Since, there are 20 independent tosses, The expected number of heads = N x P(heads), where N= number of tosses, and P= probability of heads = 20 x 0.5 = 10 is the expected number of heads in a sample of 20 coin tosses. Round Outcome 20 18 16 14 12 10 8 6 4 2 1.0 0.8 0.6 0.4 0.2 0.0 Coin Toss Results...
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