Answer:
x = 6
Step-by-step explanation:
The probability that this archer hits her first shot is given by t the probability of being windy and that she hits the shot added to the probability of not being windy and that she hits the shot:
[tex]P(H_{first}) = P(H_w)*P(W)+P(H_{nw})*(1-P(W))\\P(H_{first})=0.4*0.3+0.7*(1-0.3)\\P(H_{first})=0.12+0.49 = 0.61[/tex]
If the probability that she hits the target on her first shot is 0.x1, the value of x is:
[tex]P(H_{first})=0.61=0.x1\\x=6[/tex]
