# A coin is tossed twice and comes up heads both times. ## Problem 4SE Chapter 1

Statistics for Engineers and Scientists | 4th Edition

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Problem 4SE

A coin is tossed twice and comes up heads both times. Someone says, “There’s something wrong with this coin. A coin is supposed to come up heads only half the time, not every time.”

a. Is it reasonable to conclude that something is wrong with the coin? Explain.

b. If the coin came up heads 100 times in a row, would it be reasonable to conclude that something is wrong with the coin? Explain.

Step-by-Step Solution:
Step 1 of 3

Solution 4SE

Step1 of 3:

We have fair coin and it is tossed twice and comes up heads both times. Someone says, “There’s something wrong with this coin. A coin is supposed to come up heads only half the time, not every time.”

We need to check,

a).Is it reasonable to conclude that something is wrong with the coin? Explain.

b).If the coin came up heads 100 times in a row, would it be reasonable to conclude that something is wrong with the coin? Explain.

Step2 of 3:

a).

Consider A fair coin X.

The possible number of outcomes are S = {H,T}

Probability of getting Head is given by

P(H) = = Hence,P(H) = ½.

Therefore, Probability of getting Head is  ½.

Similarly,

Probability of getting Tail is given by

P(T) = ...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

Since the solution to 4SE from 1 chapter was answered, more than 283 students have viewed the full step-by-step answer. This full solution covers the following key subjects: coin, something, Wrong, heads, conclude. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 4SE from chapter: 1 was answered by Patricia, our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “A coin is tossed twice and comes up heads both times. Someone says, “There’s something wrong with this coin. A coin is supposed to come up heads only half the time, not every time.”a. Is it reasonable to conclude that something is wrong with the coin? Explain.________________b. If the coin came up heads 100 times in a row, would it be reasonable to conclude that something is wrong with the coin? Explain.” is broken down into a number of easy to follow steps, and 72 words. Statistics for Engineers and Scientists was written by Patricia and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th.

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