A quarter back completes 29% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. Determine the probability that it takes more than 12 attempts before he completes a pass.

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%