Question

# A random sample of size 9 is selected from a certain population. (i) Calculate, by hand,...

A random sample of size 9 is selected from a certain population.

(i) Calculate, by hand, the probability that exactly eight of the nine selected values lie above the population median. Show your working.

(ii) Calculate, by hand, the probability that at least eight of the nine selected values lie above the population median. Again, show your working.

Median is the middle value. Therefore, in the population, 50% data lies above median.

This is a binomial distribution problem where:

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(i) The probability that exactly eight of the nine selected values lie above the population median is:

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(ii) The probability that at least eight of the nine selected values lie above the population median is:

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