The average number of transactions made at an ATM in a 20 minute period is 10. Use an appropriate probability distribution to find the probability that exactly 6 transactions will be made at an ATM in the next 20 minutes. Answer to four decimal places.

The probability that exactly 6 transactions will be made at an ATM in the next 20 minutes = 0.06306 = 0.0631 to 4d. p

Step-by-step explanation:

This is a Poisson distribution problem

The Poisson distribution formula is given as

P (X = x) = (e^-λ) (λˣ) / x!

where λ = mean = 10 transactions per 20 minutes

x = variable whose probability is required = 6 transactions in the next 20 minutes

P (X = 6) = (e⁻¹⁰) (10⁶) / 6! = 0.06306