Evaluate .
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Solve the differential equation .
If A is a matrix of order 2 by 3 and B is a matrix of order 3 by 2, then order of the matrix A + B is 2 by 3.
Prove that is an orthogonal matrix.
If probability of an event E is 1/2 and probability of the event is 1/6, then probability of the event F is 1/3, where events E and F are independent.
Evaluate .
If the first term of an AP is 5 and 101 term of the AP is 1005 then
common difference
of the AP will be 105.
In a factory there are three machines A, B, C which produce 10%, 40% and 50% items respectively. Past experience shows that percentage of defective items produced by machines A, B, C are 5%, 4%, 2% respectively. An item from the production of these machines is selected at random and it is found defective. What is the probability that it is produced by machine A?