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10.Approximately 80% of students do their homework in time. Each student does homework independently. In a...

10.Approximately 80% of students do their homework in time. Each student does homework independently. In a class of 40, what is the probability that at least 39 students will do their homework on time? Students are selected randomly.

A. 0.001462 B. 0.004276 C. 0.007285 D.0.009353 E.0.032293 F.0.059264

Math   Statistics-And-Probability   
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Answer #1

P[ students do their homework on time ] = 80% = 0.8

We need to find

P[ at least 39 students will do their homework on time ] = P[ 39 students did the homework on time ] + P[ 40 students did the homework on time ]

This is binomial probability problem with p = 0.8 and n = 40

The population proportion of success is p = 0.8 , also, 1 - p = 1 - 0.8 = 0.2 , and the sample size is n= 40 . We need to compute

= 0.001462

A. 0.001462

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