(a) Explanation Given: A coin is tossed 3 times and the number of heads is recorded. Explanation: Consider the experiment of tossing a coin 3 times. The sample space for the given experiment will be S = { H H H , H H T , H T H , T H H , H T T , T H T , T T H , T T T } So, the number of elements in the sample space is n ( S ) = 8 Assume that x represents the random variable “number of heads.” So, x can take on the values 0, 1, 2, or 3. The probability for x = 0 heads is P ( x = 0 ) = 1 8 = 0.125 The probability for x = 1 heads is P ( x = 1 ) = 3 8 = 0.375 The probability for x = 2 heads is P ( x = 2 ) = 3 8 = 0 (b) To determine The histogram for the probability distribution if a coin is tossed 3 times and the number of heads is recorded. (c) To determine The expected value if a coin is tossed 3 times and the number of heads is recorded.

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8, Problem 41RE

(a)

To determine

The probability distribution if a coin is tossed 3 times and the number of heads is recorded.

(b)

To determine

The histogram for the probability distribution if a coin is tossed 3 times and the number of heads is recorded.

(c)

To determine

The expected value if a coin is tossed 3 times and the number of heads is recorded.

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Chapter 8, Problem 40RE

Chapter 8, Problem 42RE

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The probability distribution if a coin is tossed 3 times and the number of heads is recorded.

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The probability distribution if a coin is tossed 3 times and the number of heads is recorded.

The histogram for the probability distribution if a coin is tossed 3 times and the number of heads is recorded.

The expected value if a coin is tossed 3 times and the number of heads is recorded.

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