Use the Following In American Football, a Coach on the Sideline "Calls

Short Answer

Use the following
In American Football, a coach on the sideline "calls"
a play - either a running play or a passing play. Occasionally, for various reasons, the quarterback may decide to change the play (called an "audible"). Suppose that for a particular team, the coach calls running plays 40% of the time (and thus calls passing plays 60% of the time). When the coach calls a running play, a running play is executed on the field 88% of the time. When the coach calls a passing play, a running play is executed on the field 7% of the time.
Round all answers to three decimal places.
-Suppose we observe a pass on a randomly selected play. What is the probability that the coach called a passing play?