Question

please note that when you get probabilities that are really small or very large (very close to 0, or close to 1), the online calculator i showed in class might have some rounding issues and your ans marked as incorrect. (one student had a probability showing as 0.0001 on the online calculator, the more exact value should have rounded to 0.0002 and marked it as wrong). if you believe this happened to you, hit \ask instructor\ and ask for me to check if that is the case and i can double c for you. you can also just try this slight adjustment on your own (know its not you...its the online calculator. score on last try: 0.5 of 1 pts. see details for more. at least one scored part is incorrect. jump to first changable incorrect part. jump to last submitted pa > next question you can retry this question below approximately 12% of all people are left - handed. consider 12 randomly selected people. a) state the random variable. b) list the given numbers with correct symbols. n = 12 p = 0.12

Explanation:

Part (a)

In a binomial probability context (since we're dealing with the number of left - handed people in a sample), the random variable represents the number of successes (here, a "success" is a person being left - handed) in a fixed number of independent trials.
The random variable \(X\) can be defined as the number of left - handed people among the 12 randomly selected people.

• In a binomial experiment, \(n\) represents the number of trials. Here, we are selecting 12 people, so the number of trials \(n = 12\).
• \(p\) represents the probability of success on a single trial. The probability that a person is left - handed is 12% or 0.12, so \(p=0.12\).

Answer:

The random variable \(X\) is the number of left - handed people in the 12 randomly selected people.

Part (b)