Question

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.What is the probability of spending more than two days in recovery?

a.0.0580
b.0.8447
c.0.0553
d.0.9420

Answer 1

To find the probability of spending more than two days in recovery, we can convert the value to a standard score and use a standard normal distribution table or calculator to find the probability. The correct answer is d. 0.9420.

Step-by-step explanation:

To find the probability of spending more than two days in recovery, we need to find the area under the normal distribution curve to the right of two days.

We can convert this value to a standard score by subtracting the mean and dividing by the standard deviation, which gives us (2-5.3)/2.1 = -1.5714.

Using a standard normal distribution table or a calculator, we can find that the probability of a value being greater than -1.5714 is approximately 0.9420.

Therefore, the correct answer is d. 0.9420.