Question

Suppose that the lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days. a) Approximately what percent of pregnancies have lengths between 223 days and 307 days? b) Approximately 95% of pregnancies have lengths between ____days and ____days

          Suppose that the lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days.
a) Approximately what percent of pregnancies have lengths between 223 days and 307 days?
b) Approximately 95% of pregnancies have lengths between ____days and ____days
        
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Added by Timothy D.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Suppose that the lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days. a) Approximately what percent of pregnancies have lengths between 223 days and 307 days? b) Approximately 95% of pregnancies have lengths between ____days and ____days
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Transcript

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00:01 Ok, we are told the length of pregnancy follows a normal distribution.
00:06 That's the usual bell -shaped curve.
00:10 So along here is time in months.
00:12 What we get is that.
00:16 The mean in the middle here, every time, 2, 6, 8 days.
00:23 And with a normal curve, there are three numbers you have to know.
00:27 It's called the empirical numbers, and they are 65, 68, 95, and 99 .7.
00:40 Those numbers memorize.
00:43 The first one is simply the amount of data within one standard deviation of the mean.
00:50 In other words, one of 14 above, 14 below.
00:54 If i go 14 above 2, 6, 8, i'm going to get 2, 8, 2.
01:01 If i go 14 below, i get 2, 5, 4.
01:07 So that area there is 68 % of the data.
01:13 Now, what i want though is 95 % of the data...
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