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1. The expected number Michael Jordan would make before his first miss is 4.

   What is probability?

   • Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true.
   • The probability of an event is a number between 0 and 1, where 0 indicates the event’s impossibility and 1 indicates certainty.

   To find what the expected number Michael Jordan would make before his first miss:

   Here is an example where we want the number of successes before the first failure.

   • Using the neutral language of heads and tails: success is tails (probability 1−p) and failure is headed (probability = p).
   • Therefore p = .2 and the number of tails (made free throws).
   • before the first heads (missed free throw) is modeled by an X ∼ geo(.2).

   So,

   • E(X) = 1 – p / p = .8 / .2 = 4.

   Therefore, the expected number Michael Jordan would make before his first miss is 4.

   Know more about probability here:

   https://brainly.com/question/25870256

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