An airline company, Norwicair, claims that 24% of its flights arrive late. If five of its flights are randomly selected, construct a probability distribution table and probability histogram of the number of on-time flights. Compute the mean, standard deviation, and variance of the on-time flights.
a) From a random sample of 50 flights, estimate the probability that at least 32 arriving on-time.
b) From a random sample of 140 flights, estimate the probability that between 24 and 40 will arrive late.
c) Is it unusual for 80 flights to arrive early, from a random sample of 90 flights? Why, or why not?
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