1) The patient recovery time from a particular surgical procedure is normally di

Question

1) The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.6 days and a standard deviation of 1.6 days.

What is the z-score for a patient who takes 10 days to recover? (Round your answer to two decimal places.)

2) The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.1 days and a standard deviation of 1.9 days.

What is the probability of spending more than 3 days in recovery? (Round your answer to four decimal places.)

3) The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.1 days.

What is the 75th percentile for recovery times? (Round your answer to two decimal places.)

Explanation / Answer

1. z score = (10 - 5.6)/1.6 = 2.75

2. P(X > 3)

= P(z > (3 - 5.1)/1.9)

= P(z > -1.11)

= 0.8655

3. z score corresponding to 75th percentile = 0.67

Hence,

75th percentile = 5.2 + 0.67*2.1 = 6.61 days

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