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    Binomial & Normal Probabilities

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    1. CNBA basketball player Steve Swoopes scores on 85% of his foul shots. If he gets eight foul shots during a game, what is the probability that he will score on exactly seven of them?

    2. A manufacturing company uses a binomial distribution to predict the number of defective units among its products. What is a "success" in this probability model?

    3. Find the mean of a set of data with a standard deviation of 4, given that a value of 73 has a z-score of 1.5 .

    4. A class of 150 students took a final exam in mathematics. The mean score was 72 and the standard deviation was 15. Determine the percentage of scores that are less than 89, assuming that the marks were normally distributed.

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    Solution Preview

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    1. CNBA basketball player Steve Swoopes scores on 85% of his foul shots. If he gets eight foul shots during a game, what is the probability that he will score on exactly seven of them?
    Answer
    Let X be the number of foul shots Steve Swoopes scores. Clearly X is binomial with n = 8 and p = 0.85. The probability mass function binomial variable is given by .The probability for different values of x are given below.
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    Solution Summary

    The solution provides step by step method for the calculation of binomial and normal probabilities. Formula for the calculation and Interpretations of the results are also included.

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