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() = 0.75
Proportion of parcels sent by express delivery, P() = 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/) = 0.8
Probability of parcel arriving the next day given it was sent through express delivery, P(B/) = 0.95
Now, Probability that the parcel was shipped expressed and arrived the next day = P() * P(B/
) = 0.25 * 0.95 = 0.2375 .