Assume that on an average one telephone number out of 15 called between 2 P.M. and 3 P.M. on week days is busy. What is the probability that if six randomly selected telephone numbers are called, at least three of them will be busy?

A bag contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random out of the bag. Determine the number of ways of selecting at least one white ball in the selection.

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 of red and black ball respctively, in box II.: One of the two boxes , box I andbox II, was selected at random and a ball was drawn randomly out of this box. The ball was found to be red. If the probability that this red ball was drawn from box II is 1/3 , then the correct option(s) with the possible values of n_1, n_2, n_3 and n_4 is (are):

In a telephone enquiry system, the number of phone calls regarding relevant enquiry follow poisson distribution with an average of five phone calls during 10-minute time intervals. The probability that there is at the most one phone call during a 10-minute time period is

An item is manufacture by three machines A, B and C. out of the total number of items manufactured during a specified period, 50% are manufactures on A. 30% on B and 20% on C. 2% on the items produced on A and 2% of items produced on B are defective, and 3% of these produced on C are defective. All the items are stored at one godown. One item is drawn at random and is found to be defective. what is the probability that it is manufactured on machine A?

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is a. 1//15 b. 14//15 c. 1//5 d. 4//5

On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 25828573, the unit place digit is 3) is given in Table 15.7 : Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit place is 6?

Let X denotes the number of hours you study during a randomly selected schoold day. The probabildity X can take the value of x is given by P(X=x)={(0.1,ifx=0),(kx, if x=1or2),(k(5-x),if x=3or4'),(0,otherwise):} where k is some unknown constant What is the probability that you study for atleast two hours?

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant.: P(X=x)={(0.1,,if,,x=0),(kx,,if,,x=1or2),(k(5-x),,if,,x3or4),(0,,,,otherwise):} Find the value of k.

Let X denotes the number of hours you study during a randomly selected schoold day. The probabildity X can take the value of x is given by P(X=x)={(0.1,ifx=0),(kx, if x=1or2),(k(5-x),if x=3or4'),(0,otherwise):} where k is some unknown constant What is the probability that you study for atmost two hours?