A study found that 75% of college graduates find a job within 6 months after graduation. If 15 recent graduates are randomly selected, (a) what is the probability that: (b) (i) exactly 5 of the 15 recent graduates find a job within 6 months after graduation? (ii) at least 18 of the 15 recent graduates find a job within 6 months after graduation? (iii) less than 4 or more than 10 recent graduates find a job within 6 months after graduation? Calculate the expected number, variance, and the standard deviation of recent graduates who find a job within 6 months after graduation among a sample of 20.

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