Calculate the probability that the temperature on a randomly chosen day in January is less than 39°C.

Calculate the expected number of days in January that the temperature will be more than 39°C.

On a randomly chosen day in January, the probability that the temperature is above $T$ °C is 0.7.

Find the value of $T$.

     (M1)

Note: Award (M1) for correctly shaded area.

$0.952{\text{ }}(95.2\% ,{\text{ }}0.952209 \ldots )$     (A1)     (C2)

$31 \times (1 - 0.952209)$     (M1)

Note: Award (M1) for multiplying $31$ by $\left( {1 - {\text{ their answer to part (a)}}} \right)$.

$= 1.48{\text{ }}(1.48150 \ldots )$     (A1)(ft)     (C2)

Note: Follow through from part (a).

     (M1)

Note: Award (M1) for correctly shaded area.

$32.4{\text{ }}(32.4267 \ldots )$     (A1)     (C2)