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Lauren and Max work in the sales department for a company that provides home warranties. Lauren has been signing up, on average, 48 new customers

Lauren and Max work in the sales department for a company that provides home warranties. Lauren has been signing up, on average, 48 new customers each month with a standard deviation of 22, while Max signs up, on average, 56 new customers each month with a standard deviation of 17.

The store manager offers Lauren and Max a $2500 bonus if they can sign up more than 95 or more new customers next month.

Assuming a normal distribution, who is more likely to receive the bonus, Lauren or Max? Explain.

*You need state the z-score and probability in your answer response.

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