The following probability model describes the number of snowstorms for Washington, D.C. for a given year:
Number of Snowstorms |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
Probability |
.25 |
.33 |
.24 |
.11 |
.04 |
.02 |
.01 |
The probability of seven or more snowstorms in a year is 0.
a. What is the probability of more than two but less than five snowstorms?
b. Given this is a particularly cold year (in which two
snowstorms have already been observed), what is the conditional
probability that four or more snowstorms will be observed?
c. If at the beginning of winter there is a snowfall, what is the
probability of at least one more snowstorm before winter is
over?
ANS:
a. .15
b. .167
c. .56
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