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A fair coin is tosed times. Let denote the number of times head occurs. If , and are in arithmetic progression, then the value of can be
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Question 1
Three machinesE1, E2 and E3 in a certain factory producing electric bulbs, produce 50%, 25% and 25% respectively, of the total daily output of electric bulbs. It is known that 4% of the bulbs produced by each of machines E1 and E2 are defective and that 5% of those produced by machine E3are defective. If one bulb is picked up at random from a day’sproduction, calculate the probability that it is defective.Question 2
From a well shuffled deck of cards, cards are drawn with replacement. If represent numbers of time ace coming, then the value of is (a) (24)/(169) (c) (23)/(169) Question 3
Often it is taken that a truthful person commands, more respect in the society. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is actually a six. Find the probability that it is actually a six. Do you also agree that the value of truthfulness leads to more respect in the society?Question 4
Assume that the chances of a patient having a heart attack is 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga. Interpret the result and state which of the above stated methods is more beneficial for the patient.
| Question Text | A fair coin is tosed times. Let denote the number of times head occurs. If , and are in arithmetic progression, then the value of can be |
