A) It is known from past records that 10% of passengers arriving at Islamabad International Airport are not properly vaccinated against yellow fever. 8 passengers are randomly selected to check whether they are vaccinated. What is the probability that 2 are not vaccinated? B) A Binomial Random Variable has a mean of 1.8 and a variance of 1.44. Determine the Complete Binomial Probability Distribution. C) A car hire firm has two cars which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson variate with a mean of 1.5. Calculate the proportion of days on which (i) neither car is used and (ii) some demand is refused. D) A random variable is normally distributed with μ=50 and σ^2=25. Find the probability (i) that it will fall between 55 and 100, (ii) that it will be greater than 54.
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