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The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.
Consider the following rules of the network diagram and state which of them are correct: (i) Network always has a single initial and final event. (ii) An event can occur twice. (iii) No activity can start until its tail end event has occurred. (iv) It is usual practice to show time flow from right to left.
Consider the following statements about the doctrine of frustration:
1. Act has become impossible to be performed.
2. Act cannot be performed because of application of some law recently enacted.
3. Act cannot be performed because of the non-availability of raw material.
4. Act cannot be performed by defendant due to his accident.
Which of the statements given above are correct?
Vikash threw dice 25 times and noted the number appearing each time as shown below: 2, 3, 1, 2, 4, 5, 4, 3, 6, 2, 3, 1, 6, 3, 4, 6, 1, 3, 2, 6, 3, 5, 6, 3, 4 The tally table of the above data will be (A)  Digits of dice occurred Tally marks 1 ||| 2 |||| 3 |||| || 4 |||| 5 || 6 |||| (B)  Digits of dice occurred Tally marks 1 ||||  2 ||| 3 |||| | 4 |||  5 || 6 |||| (C)  Digits of dice occurred Tally marks 1 |||| | 2 || 3 |||| | 4 |||| 5 || 6 |||| (D)  Digits of dice occurred Tally marks 1 |||| | 2 |||| 3 |||| || 4 ||||  5 ||| 6 ||||
Karim threw dice 30 times and noted the number appearing each time as shown below: 1, 2, 1, 2, 4, 4, 4, 3, 3, 2, 1, 1, 6, 3, 4, 6, 1, 3, 2, 6, 3, 5, 6, 3, 4, 4, 5, 6, 3, 1 The tally table of the above data will be (A)  Digits of dice occurred Tally marks 1 |||| | 2 |||| 3 |||| || 4 ||||  5 ||| 6 |||| (B) Digits of dice occurred Tally marks 1 ||||  2 |||| 3 |||| || 4 |||| | 5 ||| 6 |||| (C) Digits of dice occurred Tally marks 1 ||||  2 |||| 3 |||| | 4 |||| | 5 |||| 6 |||| (D) Digits of dice occurred Tally marks 1 |||| | 2 |||| 3 |||| || 4 |||| | 5 || 6 ||||
Which of the following statement(s) is/are incorrect? (i) Earliest start of an activity is the early event time of the node it leaves. (ii) Latest finish of an activity is the late event time of the node it enters. (iii) Latest start of an activity is its latest finish minus its duration
Recently you are appointed as the head of a department that looks after conserving trees in the area and prevention of illegal transport of logs. While traveling by public bus you got a chance to hear a conversation between fellow passengers occupying the next seats. They were praising the work of your predecessor who is now promoted as the state-wide head of the department. According to their discussion, your predecessor was a very good person, who never took bribes and did not prosecute persons for cutting trees in the area. He never objected to cutting trees even though in many instances it was illegal. You would,
New CPU whose instruction set includes the instruction set of its predecessor CPU is said to be ___________ with its predecessor.
An individual is cycling at a speed of 25 km per hour. He catches his predecessor who had started earlier in two hours. What is the speed of his predecessor who had started 3 hours earlier ?
The following are the number of cases filed under Sec. 498A of Domestic Violence Act during the month of December, 2013, 2014 and 2015 at three cities, namely Pune, Hyderabad and Jaipur : Year Pune Hyderabad Jaipur 2013 40 50 30 2014 50 55 50 2015 50 60 80   Which of the following statements are true ? (i) Maximum increase occurred in Jaipur from 2014 to 2015. (ii) Minimum increase occurred in Hyderabad from 2013 to 2014. (iii) Average increase for the period together is lowest in the case of Hyderabad. (iv) Minimum increase has occurred in the case of Pune from 2014 to 2015.