A certain delivery service offers both express and standard delivery. 75% of parcels are send by standard delivery and 25% are s
end by express. Of those sent standard, 80% arrive the next day, and of those sent express, 95% arrive the next day. A record of parcel delivery is chosen at random from the company's files.
Given that the package did not arrive the next day, what is the probability that it was sent standard?
Given that the package did not arrive the next day, what is the probability that it was sent standard?
1 answer:
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Start by expanding the left hand side:
which leads to
Now we want to move all terms involving the variable to the left hand side, and all constant terms on the right hand side:
Simplify both sides by summing like terms:
Divide both sides by -8 to solve for x: