D HP- See What\'s Hot HP Games Imported From 1 b -1 points 11 6.3.025 0 My Notes
ID: 3331333 • Letter: D
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D HP- See What's Hot HP Games Imported From 1 b -1 points 11 6.3.025 0 My Notes s of glucose e per deciliter (1/10 of a liter) of blood. Suppose th A person's blood glucose level and diabetes are closely related. Let x be a random variable 12-hour fast, the random variable x will have a distribution that is approximately normal with mean t 87 and standard deviation o 20-Noter Arter SO years of age, both th 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) Need Help?Explanation / Answer
First question:
Here mean = 87, sd = 26
a) P(x>60)
First we can find the z statistic as below:
z = (60 - 87)/26
z = -1.038462
P(z>-1.038462) = 1 - P(z<=-1.038462)
= 1 - 0.14953
= 0.85047
b) P(x<110)
First we can find the z statistic as below:
z = (110 - 87)/26
z = 0.8846154
P(z<0.8846154) = 0.81182
c) P(x between 60 and 110) = P(x<110) - P(x<60)
= P(z<0.8846154) - P(z<-1.038462)
= 0.81182 - 0.14953
= 0.66229
d) P(x>140)
First we can find the z statistic as below:
z = (140 - 87)/26
z = 2.038462
P(z>2.038462) = 1 - P(z<2.038462)
= 1 - 0.97925
= 0.02075
Second question:
Here mean = 4.9, sd = 1.2
a) P(x<3)
First we can find the z statistic as below:
z = (3 - 4.9)/1.2
z = -1.583333
P(z < -1.583333) = 0.05667
b) P(x>7)
First we can find the z statistic as below:
z = (7 - 4.9)/1.2
z = 1.75
P(z>1.75) = 1 - P(z<1.75)
= 1 - 0.95994
= 0.04006
c) P(x>3 and x<7) = P(x<7) - P(x<3)
= P(z<1.75) - P(z<-1.583333)
= 0.95994 - 0.05667
= 0.90327
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