A valid probability


suppose s= {2,3,4....{ and P(k)=a^k, k=2,3,4....
(a) find the value of a that makes this is a valid probability model
(b)find P(outcome is divisible by 2)

question 2:
A dashboard warning light is supposed to flash red if a car's oil pressure is too low. On David's aging 2000 Toyota, the probability of the light flashing when it should is 0.98. Due to a known defect, 3% of the time it flashes for no apparent reason. If there is a 10% chance that the oil pressure really is low, what is the probability that David needs to be concerned if the warning light comes on>

question 3:
number of accidents under 40yrs old over 40
0 170 80
1 80 70
more than 1 50 50

(a) what is the probability that the person selected is over 40 and has had more that 1 accident?
(b) what is the probability that the person selected is either over 40 or has had more that 1 accident(or both)?
(c) find the probability that the person selected is over 40 given that he has more than 1 accident.
(d) suppose that the person selected is over 40. what is the probability that he had more than 1 accident?

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Basic Statistics: A valid probability
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