SOLUTION: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and a standard deviation of 1.5 days. What is the probability of s

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Question 1127869: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.7 days and a standard deviation of 1.5 days.
What is the probability of spending more than 4 days in recovery?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Compute the z score with x = 4, mu = 5.7 and sigma = 1.5

which is approximate to 2 decimal places

Use a table such as this one to find that

note: look on page 1 for the row that starts with -1.1, then look at the column that has 0.03 at the top. This row and column intersect with the value 0.1292 inside

So this means,

This is approximate to four decimal places

Therefore,

which is also approximate

Final Answer: 0.8708

note: this answer is not entirely perfect due to some rounding errors accumulated. Use a calculator (instead of a table) to get more accurate answer. The reason I'm using a table is that a lot of professors require tables as they are found often in the back of your textbook.