Exercise

# Binomial distribution

In the previous exercise, you've modeled the Bernoulli trials.
The **binomial distribution** is the sum of the number of successful outcomes in a set of Bernoulli trials.

The notation of the binomial distribution is \(B(n, p)\), where \(n\) is the number of experiments, and \(p\) is the probability of a success.

For this exercise, consider **10 consecutive fair coin flips**.
You've bet for tails and consider this outcome of a coin flip as a success.

Recall that:

`dbinom(x = k, size = n, prob = p)`

calculates \(P(X = k)\) for \(X \sim B(n, p)\),`pbinom(q = k, size = n, prob = p)`

calculates \(P(X \le k)\) for \(X \sim B(n, p)\).

Remember that for discrete distributions that take on whole numbers: \(P(X \ge k) = 1 - P(X \le k-1)\).

For example:

So, \(P(X \ge 4) = 1 - P(X \le 3)\).

Instructions

**100 XP**

- Assign the probability of getting exactly 6 tails to
`six_tails`

and print the result. - Assign the probability of getting 7 or less tails to
`seven_or_less`

and print the result. - Assign the probability of getting 5 or more tails to
`five_or_more`

and print the result.