Question

In 2017, the entire fleet of light-duty vehicles sold in the United States by each manufacturer must emit an average of no more than 91 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000 miles of driving) of the vehicle. NOX + NMOG emissions over the useful life for one car model vary Normally with mean 86 mg/mi and standard deviation 5 mg/mi. (a) What is the probability that a single car of this model emits more than 91 mg/mi of NOX + NMOG? (Enter your answer rounded to four decimal places.) probability: 0.0000 Question Source: Moore, The Basic Practice of Statistics, Be Publisher: W.H. Freeman 1:22 AM 40 7/31/2020 o RI LE F12 Priser Wert CO F10. F11

Answer 1

solution :- Step by Step explanation need to To solve this question Understand the normal peroba bity distribution and central limit theorem. Normal probability distribution problems of normally distributed samples are solved are using the Z-score formula. with mean i and standard deviation & z scosle of a measure x is given by x - lu In a set the z = a what is the probability that a single care of this model emits more than g 1 mg/mi of Nox +NMOG This 18 1 subtracted by the pualue X = 91 and 91 - 06 5 5 5 1.00 has a pualue of o. 04134 when of z M= 86 ,5=5 2 = x - M = 1 1- 0.84 1 3 4 = 0.15866

0.15 86 = 15.86 7. probability that single car of this mo rodel emets more than gi mgl mi of Nox INMOG & Answer = 0.1586