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If the scheduled completion time of a project is more than the earliest expected time for completion of the project, then the probability of completion of the project within the scheduled completion time will be
A
50 %
B
Less than 50 %
C
More than 50 %
D
100 %
Correct Answer:
More than 50 %
Which of the following statements are true in context of scheduled banks?
1. All banks which are included in the Second Schedule to the Reserve Bank of India Act, 1934 are Scheduled Banks.
2. These banks comprise Scheduled Commercial Banks and Scheduled Co-operative Banks.
3. Scheduled Commercial Banks in India are categorized into five different groups - SBI, Nationalised Banks, Regional Rural Banks, Foreign Banks and Other Indian Scheduled Commercial Banks in the private sector.
4. Scheduled Co-operative Banks consist of Scheduled State Co-operative Banks and Scheduled Urban Co-operative Banks.
A
1, 2 and 3
B
2, 3 and 4
C
1, 2 and 4
D
1, 2, 3 and 4
If the expected time for completion of a project is 10 days with a standard deviation of 2 days, the expected time of completion of the project with 99.9% probability is
A
4 days
B
6 days
C
10 days
D
16 days
Arrange the following steps in sequence in order to calculate the probability of an event through Naïve Bayes classifier. I. Find the likelihood probability with each attribute for each class. II. Calculate the prior probability for given class labels. III. Put these values in Bayes formula and calculate posterior probability. IV. See which class has a higher probability, given the input belongs to the higher probability class.
A
I → II → III → IV
B
II → I → III → IV
C
III → II → I → IV
D
II → III → I → IV
A probability distribution with right skew is shown in the figure.
The correct statement for the probability distribution is
A
Mean is equal to mode
B
Mean is greater than median but less than mode
C
Mean is greater than median and mode
D
Mode is greater than median
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
.
A
Both statements are correct
B
Both statements are incorrect
C
Statement I is correct while Statement II is incorrect
D
Statement I is incorrect while Statement II is correct
n the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of thefour alternatives. The rising sun has great inner ______. Not just to ______ the new morning right after the dark night, but also the new rhythms and vibrations within existence. Theentire universe – including the trees, birds and flowers – wake up to the rising sun. When we listen to the birds chirping and see the flower petals open, rememberthat the sunrise is not just a great happening on the outside. If we are alert and aware, then the sunrise is also happening deep within us. Something within ourselvesis also ______ with the first rays of the sun. We just need to be sensitive and available; we just need to be ______. Like the outside world, we need to open the inner doorto let the new dawn enter within. Just open the window of our inner world and allow the beautiful experience of sunrise to ______ within ourselves – this experience isbeyond anything earthly. sunrise to ______ within ourselves
A
radiate
B
subjugate
C
accentuate
D
abdicate
An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same.
If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?
A
0.453
B
0.468
C
0.485
D
0.492
A mining project comprising of A, B and C activities is scheduled for 90 days at a cost of Rs. 1200 million. The manager of the project decides to reduce the time for completion of the project to 85 days. The decision was taken after 45 days, The minimum cost of the project in million rupees after crashing 5 days is
A
100
B
1300
C
1475
D
1825
Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)
A
Both 1 and 3
B
Both 3 and 4
C
1, 2 and 4
D
All of the above
A train covered a certain distance at a uniform speed. If the train had been 6 km/hr faster, then it would have taken 4 hours less then the scheduled time. And, if the train were slower by 6 km/hr, then the train would have take 6 hours more than the scheduled time. The length of the journey is :
A
700 km
B
720 km
C
740 km
D
760 km