Question

aggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each attempt at the penalty kick is independent of the other attempts and if she scores 65% of the time, historically, what is the probability that she scores at least eight goals? Give your answer as a percentage precise to two decimal places. Number %

Answer 1

Using the Binomial distribution, let x be a Binomial variate Given, sample size n= 10. P- Success probabilily = 654- =065 q=1-P=0.35 lor platleast Pcx=y 2 - nerprann locy (0-657C0-3590 & goats) = P(x>8) = P(x=8)+P(x=9)+ P(x=10) 100g (0-65)*(035)*+ 10€, (0-653940-38)+ LOCH (0-657(0-35) = 0.1756 + 0.0725+ 0.0135 -0.2616 26.16%