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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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3 0
3 years ago
Which rational exponent represents a square root?<br> A. 1 / 2<br> B. 3/2<br> C. 1/3<br> D. 1/4
Fofino [41]

Answer:

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As we know that raising to the one-half power i.e. \frac{1}{2} is the same

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For example, taking the square root of 4 will determine:

4^{\frac{1}{2}}

\mathrm{Factor\:the\:number:\:}\:4=2^2

4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}

\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0

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so the expression becomes

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5 0
2 years ago
Read 2 more answers
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