Suppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days. Complete parts ​(a) and​ (b) below.       Question content area bottom Part 1 ​(a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=250 is 0.1587. Provide two interpretations of this area.

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Chapter5: Identities And Formulas
Section5.4: Half-angle Formulas
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Suppose the lengths of human pregnancies are normally distributed with
μ=266
days and
σ=16
days. Complete parts ​(a) and​ (b)
below.
 
 
 

Question content area bottom

Part 1
​(a) The figure to the right represents the normal curve with
μ=266
days and
σ=16
days. The area to the
left
of
X=250
is
0.1587.
Provide two interpretations of this area.
 
Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
​(Type integers or​ decimals.)
 
A.
The proportion of human pregnancies that last
less
than
enter your response here
days is
enter your response here.
 
B.
The proportion of human pregnancies that last
more
than
enter your response here
days is
enter your response here.
 
 
 
 
 
 
 
 
 
X
266
250
 
  •  
  •  
  •  
A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 250 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 250 and 266. The area under the curve to the left of 250 is shaded.
Part 2
Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
​(Type integers or​ decimals.)
 
A.
The probability that a randomly selected human pregnancy lasts
less
than
enter your response here
days is
enter your response here.
 
B.
The probability that a randomly selected human pregnancy lasts
more
than
enter your response here
days is
enter your response here.
Part 3
​(b) The figure to the right represents the normal curve with
μ=266
days and
σ=16
days. The area between
x=230
and
x=280
is
0.7970.
Provide two interpretations of this area.
 
Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
​(Type integers or decimals. Use ascending​ order.)
 
A.
The proportion of human pregnancies that last between
enter your response here
and
enter your response here
days is
enter your response here.
 
B.
The proportion of human pregnancies that last less than
enter your response here
or more than
enter your response here
days is
enter your response here.
 
 
 
 
 
 
 
 
 
 
 
 
X
266
230
280
 
  •  
  •  
  •  
A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 230, 266, and 280. The curve's peak is near the top of the graph at horizontal coordinate 266. Three vertical line segments run from the horizontal axis to the curve at 230, 266, and 280. The area under the curve between the vertical line segments at 230 and 280 is shaded.
Part 4
Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
​(Type integers or decimals. Use ascending​ order.)
 
A.
The probability that a randomly selected human pregnancy lasts between
enter your response here
and
enter your response here
days is
enter your response here.
 
B.
The probability that a randomly selected human pregnancy lasts less than
enter your response here
or more than
enter your response here
days is
enter your response here.
Question B
230
268
280
Transcribed Image Text:Question B 230 268 280
question A
250
OK
(
ART.
Transcribed Image Text:question A 250 OK ( ART.
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