The average number of transactions made at an ATM in a 20 minute period is 10. Use an appropriate probability distribution to fi
nd the probability that exactly 6 transactions will be made at an ATM in the next 20 minutes. Answer to four decimal places.
1 answer:
Answer:
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
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Step-by-step explanation: Hope this help :D
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