CAIE S1 2015 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionJune
TopicBinomial Distribution
TypeProbability of range of values

1 A fair die is thrown 10 times. Find the probability that the number of sixes obtained is between 3 and 5 inclusive. 2120 people were asked to read an article in a newspaper. The times taken, to the nearest second, by the people to read the article are summarised in the following table.
Time (seconds)\(1 - 25\)\(26 - 35\)\(36 - 45\)\(46 - 55\)\(56 - 90\)
Number of people424383420
Calculate estimates of the mean and standard deviation of the reading times.