Answer: P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Step-by-step explanation:
Given;
The quarterback's pass accuracy P= 29% = 0.29
The probability of not completing a particular pass P*
= 1 - 0.29 = 0.71
the probability that it takes more than 12 attempts before he completes a pass implies that the quarterback will not complete his first 12 pass attempts.
The probability that he will not complete the first 12 pass
P12* = (P*)^12
P12* = (0.71) ^12
P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%