Probability and Statistics - Engineering Mathematics - Agricultural Engineering Previous Year Questions

If one bucket contains 8 red balls and 2 black balls and another bucket contains 7 red balls and 3 black balls, the probability of having at least one red ball from drawings of one ball from each of the two buckets is

In a factory 30% of the machines are assembled by robots and 70% are assembled by manual labour. Reliability of the first type of machines is 0.9 and that of the second type of machines is 0.8. One piece of machine was found to be reliable. The probability of the machine having been assembled by robot is

If the probability of occurrence of rainfall on any day during June to September is 0.15, the probability that 4 out of 20 days in the month of August to remain dry will be

There is a significant difference between scores from two groups if

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?

A statistical measure of the variability of a distribution around its mean is referred to as

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what was the total number of voters?