Littllesue2
21.12.2020 •
Mathematics
Assume that the duration of human pregnancies can be described by a Normal distribution with mean 278 days and standard deviation 12 days. About 15% of babies are born prematurely. What is the length of a pregnancy that is the cutoff between being born prematurely and not being born prematurely?
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Ответ:
X = 262 days
Step-by-step explanation:
For Normal Distribution N( 0,1) we have z table and we can find z score for value of 15 % or 0,15. As 0,15 is not in the table we extrapolate then
0,1492 ⇒ 1,4
0,1515 ⇒ 1,3 0,15 ⇒ x 0,1515 - 0,15 = 0,0015
Δ = 0,0023 ⇒ 0,1
By rule of three
If 0,0023 ⇒ 0,1
0,0015 ⇒ x
x = 0,0652
Therefore the value between 1,3 and 1,4 is:
1,4 - 0,0652
z (score ) = 1,3348 and as we are looking for values below the mean ( that is at the left of the bell shape curve we need to change the value to a negative one z = - 1,3348
Now when N ( 278 , 12 ) is normalized to N ( 0 , 1)
z( score ) = ( X - μ ) / σ
- 1,3348 * 12 = X - 278
X = 278 - 16,0176
X = 278 - 16
X = 262 days
Ответ:
x>7
Step-by-step explanation:
Because 2 tons of ore in an hour
It says that the government purchase 4 tons, and 10 tons are sold to the mineral extractor
4+10=14
14÷2=7
14>7