(Answered) Standard deviations to the left of the mean

Statistics

1. The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.9 days and a standard deviation of 2.1 days. What is the probability of spending more than 3 days in recovery? (Round your answer to four decimal places.)

2. What is the z-score of x = 4, if it is 0.177 standard deviations to the left of the mean?

3. Suppose X ~ N(2, 4). What value of x has a z-score of -0.71?

4. Find the maximum of x in the bottom quartile. (Round your answer to four decimal places.) X ~ N(4, 9)

5. Find the probability that x is between four and 10. (Round your answer to four decimal places.) X ~ N(5, 3)

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