2. A dealer has a stock of eight similar television sets which he rents out to customers on a weekly basis. The weekly demand for these sets is known to have a particular distribution with mean 5.5.
a. Find the probability, correct to 3 decimal places, that in a given week at least three of the sets will be rented out.
b. Find the probability, correct to 3 decimal places, that in a given week at least three of the sets will NOT be rented out.
c. Write an expression for the probability that in a given week the demand exceeds the stock available.
2)
Let X denote the number of sets out of 8 that have been rented.
Then
Now,
So,
a)
Required probability =
b)
Required probability =
c)
Required probability = P( in a given week the demand exceeds the stock available) =
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