In: Statistics and Probability
Three workers at a fast food restaurant pack the take-out
chicken dinners. John packs 45% of the dinners but fails to include
a salt packet 4% of the time. Mary packs 25% of the dinners but
omits the salt 2% of the time. Sue packs 30% of the dinners but
fails to include the salt 3% of the time. You have purchased a
dinner and there is no salt.
a. Find the
probability that John packed your dinner.
b. Find the
probability that Mary packed your dinner.