Question

The competition has 100 candidates who wrre born in the year of 1996(a leap year). None...

The competition has 100 candidates who wrre born in the year of 1996(a leap year). None of the participants is born after June and 2 participants are born in the first week of May. Find the probabiloty that at least 5 candidates were born on thr dsys after 28th.

Math   Statistics-And-Probability   
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Answer #1

Given 2 candidates out of 100 were born in the firest week of May. The number of days in the months January to June which fall after 28th is

. The remaining participants birthday can fall on any day from January to June except the first week of May. The number of days the birthday can happen is

.

The probability that the birthday falls after 28th is .

Here

The probability that . is

Th R command for the above probability is

1-pbinom(4,98,14/175)
[1] 0.9005168
>

Thus the probability that at least 5 candidates were born on thr days after 28th is .

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