Question

Exclude leap years from the following calculations. ​(a) Compute the probability that a randomly selected person...

Exclude leap years from the following calculations.

​(a) Compute the probability that a randomly selected person does not have a birthday on November 10.

​(b) Compute the probability that a randomly selected person does not have a birthday on the 3 rd day of a month. ​

(c) Compute the probability that a randomly selected person does not have a birthday on the 31 st day of a month. ​

(d) Compute the probability that a randomly selected person was not born in February.

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Answer:

a)

Total number of dayas = 365

The probability that randomly selected person does not have birthday on Nov 10 = 364/365 = 0.9973

b)

Number of 4th of a month in a year = 12

Number of days exclusing 3rd of a month = 365 - 12 = 353

The probability that randomly selected person does not have birthday on 3rd of a month = 353/365 = 0.967

c)

Number of 31st of a month in a year = 7

Number of days exclusing 31st of months = 365 - 7 = 358

The probability that randomly selected person does not have birthday on 31st of a month = 358/365 = 0.9808

d)

Number of days exclusing march = 365 - 28 = 337

The probability that randomly selected person was not borm in march = 337/365 = 0.9233

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