Binomial model for late parcels: the expected number, an exact probability and the probability of more than two
Binomial model for late parcels: the expected number, an exact probability and the probability of more than two
6 marks
A courier company finds that, over a long period, \(4\%\) of its parcels are delivered late. A random sample of \(75\) parcels is checked.
- Write down the expected number of late parcels in the sample.[1]
- Find the probability that exactly two of the parcels are late.[2]
- Find the probability that more than two of the parcels are late.[3]
Solution:
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Answer:(a) \(3\) (b) \(0.226\) (c) \(0.581\)
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