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3 years ago

9

Jar of mayonnaise is shaped like a cylinder. The radius of the jar is 1.5 in and its height is 7 in. The mayonnaise sell for $0.

08 per In.
What is the cost of the jar of mayonnaise?
Use 3.14 to approximate pi
Round your answer to the nearest penny

1 answer:

Allisa [31]3 years ago

8 0

$3.9584067435 which would be $3.96 rounded to the nearest penny

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a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.

b) 0.762 = 76.2% probability that at least three people arrive during a particular hour

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Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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In which

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e = 2.71828 is the Euler number

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Poisson process with a rate parameter of four per hour.

This means that $\mu = 4$ .

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This is P(X = 3). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

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Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So

$P(X < 3) + P(X \geq 3) = 1$

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$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$ . So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

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$P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147$

So

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238$

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c) How many people do you expect to arrive during a 30-min period?

One hour, 4 people

Half an hour = 30 min = 4/2 = 2 people.

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