According to an airline, a particular flight is on time 8989% of the time. Suppose 3131 flights are randomly selected and the number of on time flights is recorded. Find the probabilities of the following events occurring. a. All 3131 flights are on time b. Between 2424 and 2626 flights (inclusive) are on time
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The binomial probability formula is given by: \[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \] where: - \( n \) = total number of trials (flights) - \( k \) = number of successful trials (on-time flights) - \( p \) = probability of success (on-time flight) - \( Show more…
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