The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2
per minute.
What is the expected number of phone calls that pass through the switchboard in one minute?

Answers

Answer 1

Using the Poisson distribution, it is found that the expected number of phone calls that pass through the switchboard in one minute is of 2.

What is the Poisson distribution?

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

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is equals to 2 phone calls per minute, hence this is the expected number.

You can learn more about the Poisson distribution at https://brainly.com/question/13971530


Related Questions

Reed bought 25 bags of candy and divided the total number of red candies in the bags by the total pieces
of candy in the bags. What kind of probability did Reed find? (classical or relative frequency).

Answers

The type of probability that reed was trying to find is; Classical Probability

What is Classical Probability?

Classical probability is defined as the statistical concept that measures the likelihood of something happening. It is also defined as the concept where  every statistical experiment contains elements that are equally likely to happen.

In a nutshell, A classical probability is given by the number of desired outcomes divided by the number of total outcomes, considering no prior results of the experiments.

Read more about Classical Probability at; https://brainly.com/question/24761592

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

Answers

25/50 is the answer hope this helps

Calculate the probability of randomly selecting a vehicle with an engine size greater than 3.9 L

Answers

We have that to calculate the probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

Probability of choosing an engine size

Question Parameters:

an engine size greater than 3.9 L

Generally, This can be defined as the possibility of an event occurring with respect to other possible outcomes.

Probability looks at calculating the possibility of a given event's occurrence.

Therefore, to determine the possibility of selecting an engine size greater than 3.9 L, we consider factors than decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

For more information on probability

https://brainly.com/question/795909

36. If you ever had a paying job outside the home, were you ever asked to perform a hazardous job?
(1 point)
O A. Yes
O B. No
O C. Not Sure
O D. Not Applicable
7

Answers

Just put not sure and you should be okay
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