In the climate record for 60 winters at a given location, single-storm snowfalls greater than 35 cm occurred in nine of those winters (define such snowfalls as event “A”), and the coldest temperature...

In the climate record for 60 winters at a given location, single-storm snowfalls greater than 35 cm occurred in nine of those winters (define such snowfalls as event “A”), and the coldest temperature was below –25C in 36 of the winters (define this as event “B”). Both events “A” and “B” occurred together in three of the winters.

a. Sketch a Venn diagram for a sample space appropriate to this data.

b. Write an expression using set notation for the occurrence of 35-cm snowfalls, –25C temperatures, or both. Estimate the climatological probability for this compound event.

c. Write an expression using set notation for the occurrence of winters with 35-cm snowfalls in which the temperature does not fall below –25⁰C. Estimate the climatological probability for this compound event

d. Write an expression using set notation for the occurrence of winters having neither –25⁰C temperatures nor 35-cm snowfalls. Again, estimate the climatological probability.