What is the probability that a randomly selected shipment arrived late? b. What is the probability that a randomly selected shipment was sent via E1 and was late? c. If a randomly selected shipment arrived on time, what is the probability that it was not sent via E1?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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You’re a logistics engineer for a manufacturer of hard seltzer. You use three different shipping companies (E1, E2, E3) to distribute seltzers. You contract with E1 50% of the time, E2 40% of the time, and E3 10% of the time. Of those sent by E1, 2% arrive after the guaranteed delivery time (late delivery). Similarly, 1% of those handled by E2 arrive late, and 5% of shipments by E3 arrive late.
a. What is the probability that a randomly selected shipment arrived late?
b. What is the probability that a randomly selected shipment was sent via E1 and was late?
c. If a randomly selected shipment arrived on time, what is the probability that it was not sent via E1?

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