The analysts’ stock recommendations are of considerable interest to investors. A study looking at the subsequent performance of new buy and sell recommendations by analysts over a period of time found the following results: Successful Unsuccessful New Buy 957 1233 New Sell 503 221 Note: A buy recommendation is ‘successful’ if the stock outperforms the benchmark by at least 4% over the next year. A sell recommendation is ‘successful’ if the stock underperforms the benchmark by at least 2% over the next year. (iv) What is the probability of choosing a successful stock, given a new buy recommendation?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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a) The analysts’ stock recommendations are of considerable interest to investors. A study looking at the subsequent performance of new buy and sell recommendations by analysts over a period of time found the following results:
Successful Unsuccessful
New Buy 957 1233
New Sell 503 221
Note: A buy recommendation is ‘successful’ if the stock outperforms the benchmark by at least 4% over the next year. A sell recommendation is ‘successful’ if the stock underperforms the benchmark by at least 2% over the next year.

(iv) What is the probability of choosing a successful stock, given a new buy recommendation?

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