Question

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=225 days and standard deviation σ=22 days. Complete parts (a) through (f) below.

(a) What is the probability that a randomly selected pregnancy lasts less than 217 days? The probability that a randomly selected pregnancy lasts less than 217 (Round to four decimal places as needed.) Get more help .

Answer 1

To find the probability that a randomly selected pregnancy lasts less than 217 days, we can use the standard normal distribution. The probability is approximately 0.3589.

Step-by-step explanation:

To find the probability that a randomly selected pregnancy lasts less than 217 days, we can use the standard normal distribution.

First, calculate the z-score using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, x = 217, μ = 225, and σ = 22. Plugging in the values, we get z = (217 - 225) / 22 = -0.36.

Then, use a standard normal distribution table or calculator to find the area to the left of the z-score. The probability that a randomly selected pregnancy lasts less than 217 days is approximately 0.3589.