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Probability questions pt 2? Statistics?
The level of nitrogen oxides (NOX) in the exhaust of cars of a partciular model varies Normally with mean 0.2 grams per mile and standard deviation 0.05 per mile. Governments regulations call for NOX emissions ot be no higher than 0.3 g/mi.
A) What is the probability that a single car of this model fails to meet the NOX requirement?
B) A company has 25 cars of this model in its fleet. What is the probability that the average NOX level x bar of these cars is above the 0.3 g/mi limit?
High school drop outs make up 20.2% of all American aged 18 to 24. A vocational school that wants to attract drop outs mails an advertising flyer to 25,000 people between the ages of 18-24.
A) What is the probability that at least 50000 drop outs will receive the flyer?
Thanks so so much.
Sorry! I meant 5000*
a)
Pr( Car fails NOX test ) = Pr( Emissions >= 0.3 ) = Pr( (E-0.2)/0.05 >= (0.3 - 0.2)/0.05 ) = Pr( Z >= 2 ) = Pr(Z > 2) = ~= 2%
b)
If one car was Normal(0.2, 0.05), then the average of 25 cars is also normal with mean = 0.02 and standard deviation = 0.05 / sqrt(25). The problem is identical to part (a) except you need to change the standard deviation.
Problem #2
Since you only mailed out 25,000 fliers there is 0 probability it will reach 50,000 drop outs.
Radio Flyer Classic Wagon - 20th Century Icon
Born and raised in a small town outside of Venice, Italy, 16 year old Antonio Pasin nurtured his own American dream. They sold their family mule to pay for his journey, and shortly after arriving in the U.S. Pasin made his way to Chicago. Here he searched for work as a cabinet maker. He had been taught well by his father and grandfather before him but work was scarce, even for a skilled craftsman and in despair he took what employment he could come by and took a job as a water boy for a crew who dug the sewers.
He grafted incredibly hard and by 1917 Pasin had worked in many jobs and had been able to save some money to rent a workshop and purchase second hand some wood working tools. Late into the night he could be found in his little workshop crafting toy wagons, the forerunners of the Radio Flyer Classic, which he was able to sell.
His business grew and by 1923 Pasin has employed several workers. Named the Liberty Coaster Company, the name was inspired by the Statue of Liberty. The Number 4 Liberty Wagon was handcrafted from timber and Pasin sold this model direct to the stores.
In the late 1920's, Pasin produced his first pressed steel wagon, painted it red and called it the Radio Flyer and the Radio Flyer Classic was born.. Pasin was infatuated by the invention of the radio by Marconi and was fascinated by flight, hence the name 'Radio Flyer'. For more than 90 years, the little red wagon has been played with and loved by children and is a true American Icon. It is said that with every little red Radio Flyer Classic wagon, one little boy or girl dreams of being an astronaut, a race car driver, a fire fighter, a hero.
Just as the Original Red Radio Flyer Classic Wagon that began it all has become an American classic, so too has the Radio Flyer Company. Radio Flyer spans generations and is loved by each generation that discovers it just as much as the one before - creating new memories and sparking imaginations.
Without effecting the fun factor, Radio Flyer C lassic delivers on safety and comfort. Today Radio Flyer Classic continues to create new and exciting toys whose beauty, simplicity, and standards of safety encourage adventure, discovery, and the wonders of childhood and that reflect the needs of today's on-the-go family.
So many adventures have been had by countless numbers of children across generations making the Radio Flyer classic wagon an iconic symbol of Americana.
About the Author
Marion is a grandmother to 4 grandchildren. When she was looking for Ride On Toys for the kids for christmas, this site reminded her of her childhood Radio Flyer Tricycle.
For the Radio Flyer Classic Wagon, you can get a good comparison here