What is the probability a day in the 70s is a Monday? Which set forms the intersection of Tuesdays in the 80s?

What is the probability an observation picked at random is both a Sunday and more than 90 degrees?

a) Probability of a day with temperature in the 70s = 0%

b) The set of the intersection of Tuesdays and days with temperature in the 80s is an empty or null set.

c) Probability an observation picked at random is both a Sunday and more than 90 degrees

= 0.10 = 10%

Step-by-step explanation:

The table of data for this question was obtained online and attached to this solution

Note that the probability of an event is defined as the number of elements in that event divided by the Total number of elements in the sample space.

a) What is the probability a day in the 70s is a Monday?

Of the days with temperature in the 70s (only one day, which is a Sunday), none of them are Mondays, hence, the probability of a day with temperature in the 70s being a Monday is 0%.

b) Which set forms the intersection of Tuesdays in the 80s?

Acvording to the data available, the set of Tuesdays with temperatures in the 80s is an empty set. Hence, this set is a null set.

c) What is the probability an observation picked at random is both a Sunday and more than 90 degrees?

The number of Sundays with temperature more than 90 degrees = 3

The total number of observations available = 30

Probability an observation picked at random is both a Sunday and more than 90 degrees = (3/30) = 0.10 = 10%

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