Assume after much investigation it was found through chemicalanalysis of 1000 airbags, taken from five to ten year old cars inHouston Texas, that the average mass of the aged gas propellantmixture on the driver side was 55.9g with a standard deviation of0.9g. It was also determined that those airbags that killed orinjured the driver through flying debris had a mass over 59.5g.
a. What is the probability that a randomly obtained airbag froma nine year old vehicle in Houston Texas has an airbag that couldkill its driver?
b.If the manufacture determined that aged airbags withpropellant between masses of 57 and 58 should be replaced withinthe next 6 months, what percentage of five to ten year old vehiclesin Houston Texas would be expected to fall into this category?
c. If the manufacturer determined that aged airbags withpropellant with a mass greater than 59 must be replaced as soon aspossible, what percentage of five to ten year old Houston Texasvehicles would be expected to fall into this category?
