Home / Questions / Imagine an archer is able to hit the bull’s-eye 82% of the time Assume each shot is indepe...
Imagine an archer is able to hit the bull’s-eye 82% of the time. Assume each shot is independent of all others. If the archer shoots 10 arrows, then the probability that every arrow misses the bulls-eye is a value between: (Please show each step)
a.) 0% and 1%
b.) 3% and 4%
c.) 25% and 26
d.) None of the above
2. In problem 1 above: the expected value of the number of arrows that hit the bull’s-eye is exactly equal to: (Please show each step)
a.) 8 arrows
b.) 9 arrows
c.) 8.2 arrows
d.) None of the above
3. For this probability distribution below, what is the exact value of ? (Please show each step)
X: 0 1 2 3 4
P(X): 0.1 0.4 0.2 0.2 0.1
a.) 3
b.) 2
c.) 1
d.) None of these
4. A sample proprtion of successes p hat will be computed from a size 100 SRS, drawn from a very large but finite binary population. The Central Limit Theorem states that random variable p hat is modeled by a distribution that has: (Please show each step)
a.) E(p hat)=P
b.) Infinite variance
c.) P(p hat= ½)=50%
d.) None of these
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