Mathematics: (3 points) Buchtal, a manufacturer of ceramic tiles, reports on average 3.1 job-related accidents per year. Accident categories include trip, fall, struck by equipment, transportation, and handling. The number of accidents is approximately Poisson. Please upload your work for all of the parts at the end. (0.5 pts.) a) What is the probability that more than one accident occurs per year

(3 points) Buchtal, a manufacturer of ceramic

jenlopezx3710

01.08.2021

0.8743 = 87.43% probability that more than one accident occurs per year

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:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Buchtal, a manufacturer of ceramic tiles, reports on average 3.1 job-related accidents per year.

This means that $\mu = 3.1$

What is the probability that more than one accident occurs per year?

This is:

$P(X 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

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

$P(X = 0) = \frac{e^{-3.6}*(3.6)^{0}}{(0)!} = 0.0273$

$P(X = 1) = \frac{e^{-3.6}*(3.6)^{1}}{(1)!} = 0.0984$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0273 + 0.0984 = 0.1257$

$P(X 1) = 1 - P(X \leq 1) = 1 - 0.1257 = 0.8743$

0.8743 = 87.43% probability that more than one accident occurs per year

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tamiaollie

28.02.2021

22:37

DECIMAL: 10.38

bwcause of how the factors and dev7mals or other stuff they been added or divided 100 45 mix with the 1/2 and thus it is not equal from angles

Step-by-step explanation:

HOPE IT HELPS

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