Mathematics: The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. 1. Refer to Exhibit 2. The random variable x satisfies which of the following probability distributions? a. normal b. Poisson c. binomial d. Not enough information is given to answer this question. 2. Refer to Exhibit 2.

The random variable x is the number of occurrences

BackUpAccount

11.10.2020

A Poisson distribution, with λ=5.3

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

Step-by-step explanation:

For this type of random variables, a Poisson distribution is the most adecuate.

If the number of occurrences in ten minutes is 5.3, we can define the parameter λ=5.3 and the probability function as:

$P(x) = \frac{\lambda^{x} *e^{-\lambda}}{x!} =\frac{5.3^{x} *e^{-5.3}}{x!} \approx\frac{0.005*5.3^{x}}{x!}$

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jalynholden07

16.09.2021

1. 42

2. 24 years old

3. 35

Step-by-step explanation:

1. 3x+7=49

2. 2/3x+3=19

3. 2x-20=50

solve each equation for "x" to get answers

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