a person\'s blood glucose level and diabetes are closely related let X be a rand

Question

a person's blood glucose level and diabetes are closely related let X be a random variable measured in milligrams of glucose per deciliter of blood. After a 12-hour fast the random variable X will have a distribution that is approximately normal with a mean of 85 and a standard deviation of 25 what's the probability that for an adult after a 12-hour fast

Cu 83 3.) Medical: Blood Clucose A person's blood glucose level and diabetes are closely related. Let X be a random variable measured in milligrams of glucose per deciliter dIl) of blood. After a 12-hour fast, the random variable X will have a distributio (mg/ that is approximately normal with mean = 85 and standard deviation = 25 Note: After 50 years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult (under 50 years of age) after a 12-hour fast a) X is more than 60? (221 0J-Turn-In HW #

Explanation / Answer

Ans:

3)

Given that

mean=85

standaed deviation=25

a)

z(60)=(60-85)/25=-1

P(z>-1)=P(z<1)=0.8413

b)

z(110)=(110-85)/25=1

P(z<1)=0.8413

c)

z(60)=-1

z(110)=1

P(60<X<110)=P(-1<z<1)

=P(z<1)-P(z<-1)

=0.8413-0.1587=0.6827

d)

z(140)=(140-85)/25=2.2

P(z>2.2)=0.0139

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