Probability Theory
Q41.
Consider a company that assembles computers. The probability of a faulty assembly of any computer is p. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty?Q42.
Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that the studies mathematics the next day is 0.6. If she studies mathematics on a day, then the probability that the studies computer science the next day is 0.4. Given that Aishwarya studies computer science on Monday, what is the probability that she studies computer science on Wednesday?Q44.
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card?Q45.
Consider a finite sequence of random values X=[x_{1},x_{2},...,x_{n}]. Let \mu _{x} be the mean and \sigma _{x} be the standard deviation of X .Let another finite sequence Y of equal length be derived from this as y_{i}=a*x_{i}+b, where a and b are positive constants. Let Let \mu _{y} be the mean and \sigma _{y} be the standard deviation of this sequence. Which one of the following statements is INCORRECT?