Here, On Approximation, Just consider $102 as $100
Then, 6% of 100 would be: $6
In short, Your Answer would be: Option A
Hope this helps!
Your answer is going to be <span>3x=1.</span>
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:
![E(X) = \frac{1}{P(X)}=\frac{1}{0.4} \\E(X) = 2.5\ shots](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%5Cfrac%7B1%7D%7BP%28X%29%7D%3D%5Cfrac%7B1%7D%7B0.4%7D%20%20%5C%5CE%28X%29%20%3D%202.5%5C%20shots)
The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:
![E=99*0.6\\E=59.4\ shots](https://tex.z-dn.net/?f=E%3D99%2A0.6%5C%5CE%3D59.4%5C%20shots)
He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:
![s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots](https://tex.z-dn.net/?f=s%3D%5Csqrt%7Bn%2Ap%2A%281-p%29%7D%5C%5C%20s%3D%204.87%5C%20shots)
The standard deviation is 4.87 shots.