The Following Probability Model Describes the Number of Snow Storms

question 4

Short Answer

The following probability model describes the number of snow storms for Washington,D.C.for a given year: $$\begin{array} { l | c | c | c | c | c | c | c } \text { Number of Storms } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Probability } & .25 & .33 & .24 & .11 & .04 & .02 & .01\end{array}$$ The probability of 7 or more snowstorms in a year is 0.
a.What is the probability of more than 2 but less than 5 snowstorms?
b.Given this a particularly cold year (in which 2 snowstorms have already been observed), what is the conditional probability that 4 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?

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