According to a recent survey, $45\%$ of college students prefer online classes over traditional in-person classes. Assume that $8$ college students are randomly selected. Find the probability that no more than $3$ of the selected students prefer online classes.

During a particular season, a basketball player has a free-throw success rate of $0.85$. If the player takes $6$ free throws in a game, what is the probability that exactly $4$ of them are successful? Round the answer to four decimal places.

In a recent safety report on workplace injuries, it was found that the probability that a randomly selected injury victim is a full-time employee is $0.75$. What is the probability that three randomly selected injury victims are all full-time employees?

A study shows that $14\%$ of shoppers use reusable bags when shopping. You randomly ask shoppers, one at a time, whether they use reusable bags. Let the random variable $X$ represent the first trial where a shopper uses reusable bags. Find the probability that the first person who uses reusable bags is the third person you ask. Also, determine whether this event is unusual.

In a survey, $36\%$ of participants said they regularly recycle plastic containers. You randomly choose $7$ individuals. What is the probability that at least $6$ of them say they regularly recycle plastic containers?

A basketball player continues to shoot free throws until she makes $10$ successful shots. The random variable $x$ represents the total number of shots taken. Is this a binomial experiment? Explain.

A factory produces small boxes of chocolates, and the number of chocolates per box follows this probability distribution:

Use this probability distribution to find the probability that a randomly selected box has either $1$ or $2$ chocolates.