Chapter 12.7, Problem 15PPS

To determine

To calculate: the probability that a field goal kicker makes at least 7 of his next 10 kicks from within 35 yards

Answer to Problem 15PPS

The required probability is $0.0009$

Explanation of Solution

Given information:

Ranges	Accuracy
0-34	75
35-44	62
45+	20

Calculation:

The probability that a field goal kicker makes at least 7 of his next 10 kicks from within 35 yards

  $\begin{array}{l}P(X\ge 7)=1-P(X\le 6)\\ $ =1-{\displaystyle \sum }_{x=0}^6\left(\begin{array}{c}10\\ x\end{array}\right){(0.20)}^x{(0.80)}^{10-x}$=1-0.9991\\ =0.0009\end{array}$

Hence, required probability is $0.0009$