In a factory which manufactures bolts, machines A. B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to b

A manufacturer has three maching operators A , B and C . The first op erator a produces 1% defective items , where as the other two operators B and C produce 5% and 7% defective items, respectively. A is on the jop for 50% of the time, B on the job for 30% of the time and C on the job for 20% of the time.A defective item is produced , what is the probability that it was produced by A ?

Let n_1, and n_2 , be the number of red and black balls, respectively, in box I. Let n_3 and n_4 ,be the number one red and b of red and black balls, respectively, in box II. A ball is drawn at random from box 1 and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is 1/3 then the correct option(s) with the possible values of n_1 and n_2 , is(are)

A factory has two machines A and B . Past record shows that machine A produced 60% of the item of output and machine b produced 40% of the items. Further, 2% of the items produce by machine A and 1% produced by machine B wer efective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective .What is the provability that it was produced by machine B ?

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag B.

A manufacturer produces nuts and bolts . It takes 1 hr of work on machine A and 3 hr on machine B to produce a package of nuts and bolts . He earns a profit of Rs 17.50 per package on nuts and Rs 7.00 per package on bolts . How many package of each should be produced each most 12 h a day to maximize the profit?

In a development plan of a city, a contractor has taken a contract to construct certain houses for which he needs building materials like stones, sand etc. There are three firms A, B, C that can supply him these materials. At one time these firms A, B, C supplied him 40, 35 and 25 truck loads of stones and 10, 5 and 8 truck load of sand respectively. If the cost of one truckload of stone and sand are Rs 1200 and 500 respectively, then find the total amount paid by the contractor to each of these firms A, B, C separately.

A physical quantity x is calculate from x=(ab^(2))/(sqrt(c)). Calculate the percentage error in measuring x when the percentage errors in measuring a,b,c are 4,2 and 3 percent respectively :

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

Two elements X and Y have atomic masses 14 and 16 respectively. They can form a series of five compounds A, B, C, D and E in which for the same amount of X, Y is present in the ratio of 1:2:3:4:5. If the compound A has 28 parts by weight of X and 16 parts by weight of Y, then compound C will have 24 parts by weight of Y combined with