Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their current employer.† Consider the following example of sample data of 2000 college graduates who graduated five years ago. Time with Current Employer (years) Number 1 508 2 392 3 312 4 220 5 568 Let x be the random variable indicating the number of years the respondent has worked for her/his current employer. (a) Use the data to develop an empirical discrete probability distribution for x. x f(x) 1 2 3 4 5 (b) Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. Since f(x) ? = ≤ ≥ 0 for all values of x and f(x) = , this ---Select--- does does not satisfy the conditions for a valid discrete probability distribution. (c) What is the probability that a respondent has been at her/his current place of employment for more than 3 years?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Time with Current Employer (years) |
Number |
---|---|
1 | 508 |
2 | 392 |
3 | 312 |
4 | 220 |
5 | 568 |
x | f(x) |
---|---|
1 | |
2 | |
3 | |
4 | |
5 |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps