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Probability Distribution

1. The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Corvallis, Oregon.

The probability of at least 3 accidents is ________.

a. 0.25
b. 0.15
c. 0.75
d. 0.20

2. A certain type of new business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). The probability that 2 businesses succeed is _______.

a. 0.0640
b. 0.2880
c. 0.2160
d. 0.4320

3. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.

a. 0.6866
b. 0.2255
c. 0.4938
d. 0.7745

Solution Preview

(1) X 0 1 2 3 4 5
__________________________________________
P(X) 0.10 0.20 0.45 0.15 0.05 0.05

Probability of at least 3 accidents ...

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