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Zanzabum
3 years ago
14

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.
Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

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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