1. A die is tossed 10 times and the number of sixes rolled is recorded. The number of sixes rolled will follow what type of distribution?

a. poison b. binomial c. geometric d. normal

The number of sixes rolled in this scenario follows a binomial distribution.

To understand why, let's break it down:

A binomial distribution is a discrete probability distribution that describes the number of successes (in this case, the number of sixes rolled) in a fixed number of independent Bernoulli trials (in this case, tossing a die 10 times).

In this scenario, each toss of the die can be considered an independent Bernoulli trial with two possible outcomes: either a success (rolling a six) or a failure (rolling any other number). The probability of success (rolling a six) remains the same for each trial.

Therefore, the number of sixes rolled in 10 tosses of the die follows a binomial distribution.