Final answer:
To generate a random number, use functions like randInt on a calculator's probability menu, specifying the desired range. This can be used to create random samples for surveys or simulate distributions, such as the al/binomial distribution, for statistical experiments.
Step-by-step explanation:
To generate a random number within a program, various methods can be used depending on the device and your requirements. For instance, if Lisa is using a calculator that supports probability functions, she can generate a random number by pressing the Math key, navigating to the PRB (Probability) functions, and then selecting a function like randInt. This function allows you to generate random integers within a specified range. For example, randInt(1, 60) will give a random number between 1 and 60.
When attempting to create a stratified sample, Lisa could use the randInt function to pick specific numbers corresponding to items like quiz scores from a list. If Lisa was involving all states in the U.S. for a survey, she could use randInt(1, 51) (considering Washington DC as a 'state') to generate a simple random sample.
Additionally, to simulate experiments or distributions, such as a binomial distribution with a .5 probability of success, the randInt(0, 1) function can be used for each trial, interpreting 0 as a failure and 1 as a success.
- For a random sample of states: randInt(1, 51) to select from 50 states plus Washington DC.
- For a binomial distribution: randInt(0, 1) multiple times, using 0 for failure and 1 for success.
- For selecting random students: Assign numbers to each student and use randInt to pick numbers at random.