a company is planning to hire 12 new employees a simulation is run to determine 12 random birthdays using numbers to represent the days of the year (january 1 = 1 through december 31 = 365) based on the simulation what is the probability that a randomly selected employee will have a birthday in the first 100 days of the year?

344 180 274 358 64 121 32 96 151 275 93 49
(Please help and tell me how I do this)
Answers are
0.417
0.583
0.333
0.120

Respuesta :

344 180 274 358 64 121 32 96 151 275 93 49

Out of the 12 numbers above, 5 (in bold type) are 100 or less.

5/12 = 0.41666...

Answer: 0.417

fichoh

The probability that an employee selected randomly has a birthday in the first 100 days is 0.417

Recall :

Probability = required outcome / Total possible outcomes

Total possible outcomes :

  • 344 180 274 358 64 121 32 96 151 275 93 49 = 12

Required outcomes :

  • Values less Than or equal to 100 : 64, 96, 32, 93, 49 = 5

Therefore,

  • P(first 100 days) = 5 / 12 = 0.41666

Therefore, the selection probability is 0.417

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