4. A company Minibus has 7 passenger seats and on a routine run it is estimated that any passenger seat will be filled with probability of 0.42 (a) What is the mean and variance of the binomial distribution of the number of passengers on a routine run? (b) Calculate the probability (to 3 d.p.) that, on a routine run: (i) there will be no passenger; (ii) there will be just one passenger; (iii) there will be exactly two passengers; (iv) there will be at least three passengers. 5. Calculate and tabulate the Poisson probabilities of 0, 1, 2, 3, and 4 or more random events occurring in an interval for which the mean number of events is 2.3. 6. Computational errors in an Accountant department have a mean of 4 per day. Calculate the probability that on a given day the number of errors is (a) none (b) exactly 7 (c) between 2 and 4 inclusive.
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- Number of trials (n) = 7 (seats) - Probability of success (p) = 0.42 Show more…
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