SOLUTION: the length of pregnancies of humans are normally distributed with a mean of 169 days and a standard deviation of 17.5 days find the probability of a pregnancy lasting more than 310

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Question 933966: the length of pregnancies of humans are normally distributed with a mean of 169 days and a standard deviation of 17.5 days find the probability of a pregnancy lasting more than 310 days.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
mean of 169 days and a standard deviation of 17.5

....
P( x > 310) = P( z > 141/17.5) = normalcdf(8.057, 100) = 3.9x10^(-16)
3.9x10^(-16)of Area to the right of z = 8.057 pretty much says it is NOT going to happen
........
For the normal distribution: Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Picture the area to the right of z = 8.057
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right


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