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Advance Technology Investment Bank installed A new FinTech program. Investors were trained in using the program. The Specialist responsible for the installation monitored the number

Advance Technology Investment Bank installed A new FinTech program. Investors were trained in using the program. The Specialist responsible for the installation monitored the number of investors using the programme. The investors can choose between using or not using the programme. The probability of using the programme is 30%.

a) What is the probability that 5 out of 31 investors will use the programme? (5 Marks)

b) The programme was installed in another geographic location, where 44 investors were surveyed. The probability of usage in the new location is 22%. What are the mean, variance, and standard deviation of programme usage? (7 Marks)

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