The average number of calls received by a switchboard in a 30-minute period is 18. What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 15 calls? B. more than 12 calls but fewer than 20 calls? C. Fewer than 10 calls?
Added by Dolores R.
Step 1
Given that the average number of calls received is 18, we can use the Poisson distribution formula to calculate the probability of receiving exactly 15 calls. \[ P(X = 15) = \frac{e^{-18} \cdot 18^{15}}{15!} \] \[ P(X = 15) = \frac{e^{-18} \cdot 18^{15}}{15!} Show more…
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