probability that exactly one

The region contains exactly one point, the point is optimal soluti..

Binomial Distribution - A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial. Let X be the number of successes in a Bernoulli trial, then X can take 0 or 1 and P(X =1) = p = "probability of a success" P(X = 0) = 1..

If two events E 1 and E 2 can occur independently in exactly m ways and n ways respectively, then either of the two events can occur in (m + n) way..

The lowest values of various classes are 11, 16, 21,. These values are called lower limits. The greatest values of various classes are 15, 20, 25,. These values are called upper limits. Therefore, Lower limit of class 11 - 15 is 11 Upper limit of class 11 - 15 is 15 Now, class limits are not alway..

Summary - The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. ..

A card is drawn from an ordinary deck and we are told that it is red, what is the probability that the card is greater than 2 but less than ..

In the probability distribution of ..

Since the two decision variable x and y are non-negative, consider only the first quadrant of xy- plane Draw the line ax + by = c ...(1) For each constraint, the line (1) divides the first quadrant in to two regions say R 1 and R 2 , suppose (x 1 , 0) is..

1. Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl as neighbour and girl Y does not want any boy as neighbour. How many such arrangements are possibl..

Question: By taking scale 1cm=10% draw a histogram of the following data: Answer: The required histogram representing the given data is shown in graph. ..