Question

Katarina tosses a thumbtack on the ground 20 times to see if it lands on its side or if it lands with the point

facing up (there are no other possible outcomes). Let S = the number of times it lands on its side.
Is S a binomial variable? Why or why not?

Answer 1

This situation satisfies each of the conditions for a binomial variable, so

S

SS has a binomial distribution.

Explanation:

True. Each trial has two outcomes (lands on side or doesn't), results of each trial are independent, there is a fixed number of trials (

20

2020), and the probability of success is the same for each trial.

(from Khan Academy)

Answer 2

Answer: This situation satisfies each of the conditions for a binomial variable, so S has a binomial distribution.

Step-by-step explanation: