A study of book reviews in American history, geography and area studies was publ

Question

A study of book reviews in American history, geography and area studies was published in Choice magazine. The overall rating stated in each review was ascertained and recorded as follows 1would not recommen 2very little recommendation 3 - no preference 4 recommended and 5- outstanding contribution Based on a sample of 375 book reviews, the probability distribution of rating, X, is XI p(x) -I 1 | 0.051 2| 0.099 3 0.093 5 0.122 The probability that a randomly chosen book will have a recommended or higher rating is given by 0.635 0.5 0.757 0.213

Explanation / Answer

First calculate P(X = 4) = ?

Sum of probabilities must equal to 1

0.051 + 0.099 + 0.093 + P(X = 4) + 0.122 = 1

P (X = 4) = 0.635

P( Recommended or higher rating) = P( X = 4) + P( X = 5)

= 0.635 + 0.122

= 0.757

P( Recommended or higher rating) = 0.757

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