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Leviafan [203]
3 years ago
9

On average, there are 10 customers arrives a local bank per hour. Bob is the only bank teller on duty at the bank currently and

needs to run out for 6 minutes. What is the probability that no customer will arrive in the next 6 minutes?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:

the probability that no customer will arrive in the next 6 minutes = 0.36788 = 0.368

Step-by-step explanation:

If there are 10 customers per hour, this translates to 1 customer per 6 minutes

So, if there's a mean of 1 customer per 6 minutes, to obtain the probability that no customer will come in a 6 minute interval, this becomes a Poisson distribution problem.

The Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 1 customer per 6 minutes

x = 0 customer per 6 minutes

P(X=0) = (e⁻¹)(1⁰)/0! = 0.36788 = 0.368

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Answer:

  replace recipe quantities:

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Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

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Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

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Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

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For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

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<em>Additional comment</em>

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

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