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C A Person's Blood Glucos x C Secure https//www.webassign.net/web/Student/Assignment-Responses/last dep-1797 3889 -14 points BBBasicSiatt 7 3.025 A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ?·86 and standard deviation o . 26 Note: A er SO years ape both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60 (b) x is less than 110 c) x is between 60 and 110 (d) x is greater than 140 (borderline diabetes starts at 140) Your work in queshones) 2 w? also te strned or saved Submit Assignment Save Assignment Progress Practice Another VersionExplanation / Answer
Ans:
Given that
mean=86
standard deviation=26
a)
z=(60-86)/26=-1
P(z>-1)=0.8413
b)
z=(110-86)/26=0.923
P(z>0.923)=0.1780
c)
P(-1<z<0.923)=P(z<0.923)-P(z<-1)
=0.8220-0.1587=0.6634
d)
z=(140-86)/26=2.077
P(z>2.077)=0.0189
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