4. There are 10 employees in your department, 6 of whom are web developers and 4

Question

4. There are 10 employees in your department, 6 of whom are web developers and 4 of whom are system administrators. a. You will randomly select 6 employees to participate in security certification training. Calculate the probability that an equal number of each type of employee will be selected for the security certification training b. Calculate the probability that no systems administrators are selected to participate in the training. c. You need to select 2 out of the 10 employees to help you evaluate the training materials. Calculate the probability that Ahmed is selected to evaluate the lab materials and Yingqi is selected to evaluate Chapters 1-10

Explanation / Answer

a) The number of total employees = 10

Web developers = 6

System administrators = 4

The probability that a web developer is selected can be given as : 6/10

  The probability that a system administrator is selected can be given as: 4/10

Hence, the probability of random selection of 6 employees, such that equal number of employees(3 web developers and 3 system administrators) are selected can be given as: 3/10 + 3/10 = 6/10

b) The probability that no system administrator is selected for training program can be given as: 6/10(as all the web developers are selected for the program).

c) For this question, more information is required, as the departments of both Ahmed and Yingqi are not known here.

THANK YOU

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