Write answers in Scientific Notation for example 0000002525E

Write answers in Scientific Notation, for example: 0.0000025%=2.5E-6% (notice that it is negative 6) Be careful to change percent to a decimal before calculation and take the answer and change it back to a percent.

(1) What is the probability that a tire will not pop in 5 years?

(2) What is the probability that none of the tires pop in the next 5 years?

(3) What is the probability that at least one tire pops in the next 5 years?

Solution

a)

P( a tire will not pop) = 0.5 = 50%

b)

P( none of the tires pop ) = 0.5^4 = 0.0625 = 6.25%

c)

P( at least one) = 0.5 + 0.5*0.5 + 0.5*0.5*0.5 + 0.5*0.5*0.5*0.5 =0.5+0.25+0.125+0.0625= 0.9375=93.75%