Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean of μ=271 days and standard deviation o=26 days. Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy lasts less than 263 days?
The probability that a randomly selected pregnancy lasts less than 263 days is approximately 0.3783.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
A. If 100 pregnant individuals were selected independently from this population, we would expect
_____pregnancies to last less than 263
days.
B.If 100 pregnant individuals were selected independently from this population, we would expect ___
pregnancies to last exactly 263 days.
C.If 100 pregnant individuals were selected independently from this population, we would expect ____
pregnancies to last more than 263 days.
Which one and what is the number?
Given that, mean = 271 days
standard deviation = 26 days
a) P(X < 263) = 0.3783
sample size ( n ) = 100
Here, 100 * 0.3783 = 37.83 (approx 38)
Therefore, if 100 pregnant individuals were selected independently from his population, we would expect 38 pregnancies to last less than 263 days.
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