On any day in January, the probability the temperature at a weather station is above 14°C is 0.35 . There are 31 days in January. Find the number of days in January when you would expect the temperature to be above 14°C.

1. (a)(i)On any day in January, the probability the temperature at a weather station is above 14°C is 0.35 . There are 31 days in January. Find the number of days in January when you would expect the temperature to be above 14°C.[1]
2. (a)(ii)(a)The temperature on two consecutive days in January is recorded. Complete the tree diagram.[2]
3. (a)(ii)(b)Find the probability that the temperature is above 14°C on both days.[1]
4. (a)(ii)(c)Find the probability that the temperature is above 14°C on only one of the two days.[2]
5. (b)In a group of 14 children: • 8 wear red T-shirts • 1 wears a green T-shirt • 5 wear blue T-shirts. Two children are chosen from the group at random. Find the probability that they wear different coloured T-shirts.[3]

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