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insomniacnana2
10.03.2020 •
Mathematics
The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies Normally with mean 0.02 g/mi and standard deviation 0.01 g/mi. A company has 81 cars of this model in its fleet. What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01? (Hint: This requires a backward Normal calculation. Round your answer to three decimal places.)
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Ответ:
For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 0.02 g/mi
Standard Deviation, σ = 0.01 g/mi
Sample size, n = 81
We are given that the distribution of level of nitrogen oxides is a bell shaped distribution that is a normal distribution.
Standard error due to sampling:
Formula:
We have to find the value of x such that the probability is 0.01
P(X > x)
Calculation the value from standard normal z table, we have,
For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.
Ответ:
168 Beats per minute
Step-by-step explanation:
42/1/4 = 168