The annual per capita consumption of ice cream (in pounds) in the United States
ID: 3050739 • Letter: T
Question
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by the normal distribution, as shown in the figure to the right.
(b) Between what two values does the middle 80% of the consumptions lie?
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by the normal distribution, as shown in the figure to the right.
(a) What is the largest annual per capita consumption of ice cream that can be in the bottom 10% of consumptions?(b) Between what two values does the middle 80% of the consumptions lie?
= 15.1 = 4.9 3 15 27 Consumption (in lbs)Explanation / Answer
Solution:- Given that = 15.1 , sd = 4.9
a) invNorm(0.10) = 1.2816
=> X = Z*sd +
= 15.1 + (1.2816*4.9)
= 21.3798
b) P(-1.282 < z < 1.282) = 0.80
z = (x1 - 15.1)/4.9
z = (x2 - 15.1)/4.9
P((x1 - 15.1)/4.9 < z < (x2 - 15.1)/4.9 ) = 0.80
=> (x1 - 15.1)/4.9 = -1.282 => x1= -1.282*4.9 + 15.1 = 8.8182
=> (x2 - 20.7)/4.2 = 1.282 => x2 = 4.9*1.282 + 15.1 = 21.3818
The two values are (8.8182 , 21.3818)
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.