Description
Answer 1
a)
b)
- Std(x) = σ = pV ar(x) = 34.64
c)
P
d)
Answer 2
a)
µ = np = 10, σ = pnp(1 − p) = 3.13
1
b)
P{x < 8} = P{x < 7.5} by continuity correction,
c)
P{x > 15} = P{x > 15.5} = 1 − P{x < 15.5} by continuity correction,
d)
P{7 ≤ x ≤ 14} = P{6.5 < x < 14.5} by continiuty correction,
Answer 3
a)
In this situation, probability of the event is independent of previous events.
Thus, P{x = 0} with poisson parameter λ = 1 is 0.3679.
b)
Same as the previous question, probability will not be affected by the previous event. Thus, P{x = 0} = 0.3679
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