9 [Maximum mark: 16] The results in an intelligence test are normally distributed with a mean of 100. It is designed so

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9 Maximum Mark 16 The Results In An Intelligence Test Are Normally Distributed With A Mean Of 100 It Is Designed So 1 (136.04 KiB) Viewed 29 times

9 [Maximum mark: 16] The results in an intelligence test are normally distributed with a mean of 100. It is designed so that only 5% of people have a score of more than 150. a Find the standard deviation of results in the test. To enter a high intelligence society, people need to have a score of at least 150. Five people are chosen at [4] random to take the test. e Find the probability that the fifth person to take the test is the second person to attain a score b Find the probability that at least two of them qualify to enter the high intelligence society. [4] of at least 150. [3] People with a score of more than 170 in the test are allowed to enter a merit stream within the society. d What percentage of the society are members of the merit stream? [4] e State one assumption required in your answer to part d.