A student has to match three historical events-Dandi March, Quit India Movement and Mahatma Gandhi'sassassination with the years 1948, 1930 and 1942. The student has no knowledge of the correct answers anddecides to match the events and years randomly. `E_1(0 leq i leq3)` denote the event that the student getsexactly i correct answers. Then

A student has to match three historical events- Dandi March,Quit India Movement and Mahatma Gandhi'sassassination with the years 1948,1930 and 1942. The student has no knowledge of the correct answers and no to match the events and years randomly.E_(1)(0<=i<=3) denote the event that the student getsexactly i correct answers.Then

A student has to match three historical events Dandi March, Quit India movement and Mahatma Gandhi Assassination with the years 1948,1930 and 1942. The student has no knowledge of the correct answers and decided to match the events and years randomly. If x denotes the number of correct answers he gets, then mean of x is

A student has to match three historical events Dandi March, Quit India movement and Mahatma Gandhi Assassination with the years 1948,1930 and 1942. The student has no knowledge of the correct answers and decided to match the events and years randomly. If x denotes the number of correct answers he gets, then mean of x is

Each of five questions on a multiple chice examination has four choices,only one of which is correct.A student is attempting to guess the answers.The random variable X is the number of questions answered correctly.(i)What is the probability that the student will get exactly three answers correct?

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p, 0 lt p lt 1 . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p, 0 lt p lt 1 . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p, 0 lt p lt 1 . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A multiple choice test question has five alternative answers, of which one is home work, then he is sure to identify the correct answer; otherwise, he chooses Let E: denotes the event that a student does his home work with P(E)=P and F: denotes the event that he answer the question correctly. (a) If p=0.75 the value of P(E/F) equals