This table provides data on the daily maximum temperatures in Barcelona during summer

MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability

Problem

This table provides data on the daily maximum temperatures in Barcelona during summer.

Summer temperatures in Barcelona	June	July	August
Mean days with maximum temperature $\geq 40^\circ\text{C}$	0.3	1.2	0.7
Mean days with maximum temperature $\geq 35^\circ\text{C}$	3.0	5.8	5.3
Mean days with maximum temperature $\geq 30^\circ\text{C}$	9.4	12.3	12.0

(1) Estimate the probability that on an August day in Barcelona, the maximum temperature will be: -

35^\circ\text{C}

or higher - less than

30^\circ\text{C}

. (2) Estimate the probability that on any summer day in Barcelona, the temperature will be

30^\circ\text{C}

or higher. (3) It is a

40^\circ\text{C}

summer day in Barcelona. Estimate the probability that the month is July.