An Alarm Company Reports That the Number of Alarms Sent $\lambda = 4.6$

question 35

Multiple Choice

An alarm company reports that the number of alarms sent to their monitoring center from customers owning their system follow a Poisson distribution with $\lambda = 4.6$ alarms per year. Find the probability that a randomly selected customer had more than 7 alarms reported.

• A) 0.087
• B) 0.182
• C) 0.095
• D) 0.818
• E) 0.905

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Definitions:

Random Samples

Random samples are selections made in such a way that each member of the population has an equal chance of being included, ensuring the sample's representativeness.

Statistically Significant

An observed effect so large that it would rarely occur by chance, indicating that the findings from the data are likely not due to random variation.

ANOVA Null Hypothesis

In Analysis of Variance, the null hypothesis that states there are no mean differences among the groups being compared.

Test Statistic

This is a quantity, derived from sample data, that can be used in statistical hypothesis testing to decide whether to reject the null hypothesis.