MATH 350 Homework 04

1. Suppose a Bernoulli distribution is used to describe Steph Curry's made shots in a basketball game, where $1$ represents a made shot and $0$ represents a missed shot. Since Steph Curry is considered a highly accurate shooter, we could imagine the probability $p$ associated with Steph Curry making a shot is $0.9$ (or at least close to this). Which data set is more likely to be a set of data from the distribution modeling Steph Curry's shooting? Explain your reasoning.
   • $(1, 1, 1, 1, 0)$, or
   • $(1, 0, 0, 0, 0)$
2. Suppose cell phone passcodes consist of 6 numbers $\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$ (where repeats are allowed). How many possible passcodes are there?
3. Suppose you step up to shoot basketball free-throws. You shoot 10 times and make 4 shots. How many different ways are there for you to make exactly 4 shots out of 10 shots?
4. Suppose you want to make a new word which will have 4 unique (non-repeating) English alphabet letters in it. How many possible words could you create?