(a) Given X Po(1), with 2 integer and P(X-D0)= 0.0498. Find the value of A. Hence, find P(X< 3). In a shipment by a company, the probability of obtaining a wooden furniture that does not meet order specifications is 0.2 (b) If 20 units of wooden furniture are chosen at random from a particular shipment, (i) state the mean and variance of the distribution for the number of unit of wooden furniture that do not meet order specifications. (ii) calculate the probability that not more than 3 units of wooden furniture

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(a)
Given X Po(1), with 2 integer and P(X-0) =0.0498. Find the value of A.
%3D
Hence, find P(X< 3).
In a shipment by a company, the probability of obtaining a wooden furniture that
does not meet order specifications is 0.2
(b)
If 20 units of wooden furniture are chosen at random from a particular
shipment,
(i)
state the mean and variance of the distribution for the number of unit of
wooden furniture that do not meet order specifications.
(ii)
calculate the probability that not more than 3 units of wooden furniture
do not meet order specifications.
Transcribed Image Text:(a) Given X Po(1), with 2 integer and P(X-0) =0.0498. Find the value of A. %3D Hence, find P(X< 3). In a shipment by a company, the probability of obtaining a wooden furniture that does not meet order specifications is 0.2 (b) If 20 units of wooden furniture are chosen at random from a particular shipment, (i) state the mean and variance of the distribution for the number of unit of wooden furniture that do not meet order specifications. (ii) calculate the probability that not more than 3 units of wooden furniture do not meet order specifications.
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