Explanation Given: Four coins are tossed and the number of heads is noted. Explanation: Let x be the number of heads Since, X ∼ B i n ( n = 4 , p ) For binomial distribution: P ( X = x ) = C n x ( p ) x ( 1 − p ) n − x It is given that P ( X = 4 ) = 1 16 So, C 4 4 ( p ) 4 ( 1 − p ) 4 − 4 = q 16 Therefore, p 4 = 1 16 p = 1 2 So, P ( X = 0 ) = C 4 0 ( 1 2 ) 0 ( 1 − 1 2 ) 4 − 0 = 1 16 P ( X = 1 ) = C 4

11th Edition

ISBN: 9780321979438

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

Publisher: PEARSON

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Chapter 8.5, Problem 5E

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Draw the histogram and shade the region.P(x≤2).

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Chapter 8 Solutions

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Draw the histogram and shade the region. P ( x ≤ 2 ) .

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