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Que6: A crossword puzzle is published in 'The Times' each day of week, except Sunday, that...

Que6: A crossword puzzle is published in 'The Times' each day of week, except Sunday, that means total 6days. A man is able to complete, on average,8 out of 10 of the crossword puzzles. Find the probability that he will complete at least 5 puzzles during 6 days.

Math   Statistics-And-Probability   
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Answer #1

probability that the man is able to solve the crowwsord puzzle is ,

Let x be the number of days that the man solves the puzzle completely ,

therefore it is clear that x follows binomial distribution with parameter (6,0.8) . probability of a binomial distribution is given by

the probability that he will complete atleast 5 puzzles in a week is given by

so he will complete atleast 5 puzzles with a probability 0.6553

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