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3 years ago

6

A certain delivery service offers both express and standard delivery. 75% of parcels are sent by standard delivery, and 25% are

sent 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.What is the probability that the parcel was shipped expressed and arrived the next day?

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

The probability that the parcel was shipped expressed and arrived the next day = 0.2375 .

Step-by-step explanation:

We are given that a certain delivery service offers both express and standard delivery.

Let Proportion of parcels sent by standard delivery, P( $A_1$ ) = 0.75

Proportion of parcels sent by express delivery, P( $A_2$ ) = 0.25

Let <em>event B = Parcel arriving the next day</em>

Also, Probability of parcel arriving the next day given it was sent through standard delivery, P(B/ $A_1$ ) = 0.8

Probability of parcel arriving the next day given it was sent through express delivery, P(B/ $A_2$ ) = 0.95

Now, Probability that the parcel was shipped expressed and arrived the next day = P( $A_2$ ) * P(B/ $A_2$ ) = 0.25 * 0.95 = 0.2375 .

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