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1. Who? US Vice-President Mike Pence is generally seen to be more popular than Donald Trump...

1. Who? US Vice-President Mike Pence is generally seen to be more popular than Donald Trump - but not by much. Last year, a Gallup Poll revealed that 44% of voters found Pence favourable; whereas Trump was only popular with 43% of voters. While this might be good news for Pence, the bad news is that the same poll found that 12% of Americans had no idea of who he was1 .

In a random sample of 1000 American voters, what is the probability that.

(a) at least 130 of them do not know who Pence is?

(b) between 400 and 460 (inclusive) of Americans find Pence favourable?

(c) less than 450 of them find Trump favourable?

(d) more than 600 of voters find Trump unfavourable?

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