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A memory chip is produced by two di erent manufacturers. It is known that a chip produced
by manufacturer one is faulty with probability 0:11, while a chip produced by manufacturer
two is faulty with probability 0:17. We also know that manufacturer one supplies 30% of the
chips, while manufacturer two supplies 70% of the chips used by a car company.
(i) What is the probability that given a chip was made by manufacturer two, it is not faulty?
(ii) What is the probability that a chip is not faulty?
What is the probability that given a chip is faulty that it was produced by manufacturer
one?
statistics and probability questions and answers /...
Question: Sara downloaded a game on her phone. The objective of this game is to face obstacles with the hel...
Sara downloaded a game on her phone. The objective of this game is to face obstacles with the help of characters which can be of three types: "Earth", "Air" or "Fire".
At the start of each game, Sara randomly obtains the character of one of the three types and may, during the game
(a) For any pair of players who throw the same number, the group scores 1 point.
Find the mean and variance of the total score of the group.
(b) Find the mean and variance of the total score if any pair of players who throw
the same number scores that number.
5. Every package of some intrinsically dull commodity includes a small and exciting plastic
object. There are k different types of object, and each package is equally likely to
contain any given type. You buy one package each day.
(a) Find the mean number of days which elapse between the acquisitions of the n
th
new type of object and the (n + 1)th new type.
(b) Find the mean number of days which elapse before you have a full set of k objects.
iii: P (K' union L')
A.
(0.5 , 0.95)
B.
(0.449 , 0.511)
C.
(0.944 , 0.151)
D.
(0.480 , 0.501)
Compute the value of a and b.
Required
The long run market share of the manufacturers (14 Marks)
