SOLUTION: The performance level of manufactured objects tends to vary within upper and lower bounds. Answer the question by assuming the measurements for each product are normally distribute

Question 888104: The performance level of manufactured objects tends to vary within upper and lower bounds. Answer the question by assuming the measurements for each product are normally distributed. The mean number of gallons that are purified by a certain brand of water filter is 1200 and the standard deviation is 120 gallons. What percentage of these filters can be expected to purify more than 1440 gallons of water?
Answer by skartikey(21) (Show Source): You can put this solution on YOUR website!
P(x>1440)=P(z>(1440-1200)/120)
=P(z>2)
=1-P(z<2)
=1-0.9772
=0.0228
=2.28%
2.28% of these filters can be expected to purify more than 1440 gallons of water.
RELATED QUESTIONS
Find the upper and lower bounds of f(x) =... (answered by Fombitz)

find upper and lower bounds for the value of int((xln(x))^2)dx on [1,3] (answered by Fombitz)

Consider the following polynomial. F(x) = x^3 + x^2 − 22x − 40 Use... (answered by CPhill)

Find the smallest positive integer and the largest negative integer that, by the Upper- (answered by Edwin McCravy)

WHAT IS THE EFFECT ON UPPER AND LOWER BOUNDS OF A POLYNOMIAL FUNCTION IF THE LEADING... (answered by nyc_function)

use synthetic division to verify the upper and lower bounds of the real zeros of the... (answered by Theo)

Find the smallest positive integer and the largest negative integer that, by the Upper-... (answered by lwsshak3)

Use the upper and lower bound theorem find the smallest positive integer and largest... (answered by mccravyedwin,ikleyn,Edwin McCravy)

the tickets to a concert cost $16.30 for the lower level and $5.50 for the upper level. A (answered by ozymandias)