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Binomial distribution

1) A Discrete random variable can be described as Binomial distribution if is satisfies four conditions, Briefly discuss each of these conditions

2) A student does not study for a multiple choice examination and decides to guess the correct answers, If the examination consists of 10 multiple choice questions, find the probability that the student get an overall mark of exactly 50%. Each question has 4 possible choices, with only one correct answer.

3) State four properties of the normal distribution function.

4) The number of newspapers sold daily at a kiosk is normally distributed with a mean of 300 and a standard deviation of 30. Calculate the probability that less 250 newspapers are sold on a particular day.

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