Question

Create an array arr of num A=15 random double numbers using these commands:

rng(1);
a=5+randn(1, numA );

Answer 1

To simulate a binomial distribution with a programmable calculator, use the randInt function to generate random integers representing successes or failures, sum them for five trials, and repeat this process for 10 observations.

Step-by-step explanation:

To simulate a binomial distribution with a programmable calculator using randInt, one can model an experiment with two outcomes (success or failure) with equal probabilities. Suppose we want to simulate the number of successes in five trials of an experiment with a probability of 0.5 for success. You would use the following steps:

1. Assign each outcome a number, commonly 1 for success and 0 for failure.
2. Use the randInt function to generate random integers between 0 and 1 where each number is equally likely to occur.
3. Sum the results to get the total number of successes out of five trials.
4. Repeat this process 10 times to simulate 10 observations of the random variable.

For example, a single simulation of five trials to find the number of successes might look like this:

randInt(0, 1) + randInt(0, 1) + randInt(0, 1) + randInt(0, 1) + randInt(0, 1)

This process gives you a single outcome of the 5 trials, representing the number of successes, which is a number between 0 and 5. Repeat this sum ten times to get ten observations.