Consider a company that selects employees for random drug tests. The company uses a computer to...

Consider a company that selects employees for random drug tests. The company uses a computer to randomly select employee numbers that range from 1 to 6296.

(a) Find the probability of selecting a number less than 1000

(b) Find the probability of selecting a number greater than 1000

(d) Find the probability of selecting a number that is not divisible by 1000

Solutions

Expert Solution

Total number that ranges fro. 1 to 6296 is 6296

So, sample space=n(S)=6296

a) number less than 1000 is 999 as 1000 is excluded

So,total number less than 1000=n(E) =999

So, probability of selecting a number less than 1000=n(E)/n(S)=999/6296=0.1587

Total number greater than 1000 is the number from 1001 to 6296 so,total number greater than 1000 =n(E) =6296-1000=5296

So, Required probability=5296/62960=0.8412

C) number divisible by 1000 is 1000,2000,3000,4000,5000,6000

So, there are only 6 number between 1 and 6296 which is divisible by 1000

So, Probability that a number is divisible by 1000=6/6296=0.000953

d) probability of selecting a number which is not divisible by 1000=1- probability of selecting a number which is divisible by 1000=1-0.000953=0.999047

orchestra answered 2 years ago

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