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A financial talk show host claims to have a 71.4 % success rate in his investment...

A financial talk show host claims to have a 71.4 % success rate in his investment recommendations. You collect some data over the next few weeks, and find that out 10 recommendations, he was correct 3 times. If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful recommendations out of 10?

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