a: What is the probability that the very first person selected for the very firs

Question

a: What is the probability that the very first person selected for the very first 10-person class will be female?

b What is the probability that the very first person selected for the very first 10-person class will be salaried female?

c: What is the probability that the very first person selected for the very first 10-person class will be male over 35 years of age?

d: What is the probability that the very first person selected for the very first 10-person class will be salaried male?

e: What is the probability that the very first person selected for the very first 10-person class will include 2 salaried males younger than 25 years of age.

f: What is the probability that the very first person selected for the very first 10 person session of the course will either be male or be over 44 years of age?

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Problem #1. The event for this problem is the random selection of a female to fill the first seat in a ten-person interactive computer-based safety orientation class. There are a finite set of results that make up the sub-set of possible outcomes. Determine the the total number of possible 'favorable' results (i.e. a female employee randomly picked irsti Hint: The total number of favorable results is equal to the number of female employees of any age and work level. A company has a total of 1784 employees at its location in Northern Oklahoma. The employee payroll list has employees characterized by (1) age: (2) gender; (3) ceupenstatien category (Salaried/Hourly) according to the following listing Hourly Employees: 25-34 years 259 206 Salaried Employees 25-34 years 31 43 - 44 years Male Female 44 years Male Female 42 19 The company decided that all employees must attend a one-hour mandatory safety orientation update training. The class is designed to be interactive and computer-based. The company computer lab has 10 computers. Every one of the 1784 employees will be required to complete the training. A maximum of 60 employees can complete this training on any one day 6 sessions of 10 employees. The employees chosen are selected randomly, and not more than 2 salaried employees in any class are permitted Favorable Outcomes Total Outcomes P(A) Total Outcomes

Explanation / Answer

<Have answered the first 4 subparts>

There are total 1784 employees. So 1784 will form the denominator (all possible number of equally likely, mutually exclusive and exhaustive set of events). Now for each questiion we will calculate the number of favourable events.

1. Prob. that the first person selected is a female. The number of favourable events is the number of total female employees = 859.

So required probabilitiy = 859/1784 = 0.4815

2. Prob. that first person selected will be a salaried female. Number of favourable events = number of salaried female = 96.

So reqd. prob = 96/1784 = 0.0538

3. Number of favourable events = number of male over 35 years of age = 571.

So reqd. prob = 571/1784 = 0.3201

4. Number of favourable events = number of salaried male = 110.

So reqd probability = 110/1784 = 0.0617

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