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3 years ago

Help ASAP please!!!

Mathematics

2 answers:

Mashcka [7]3 years ago

4 0

I’m not entirely sure but maybe it’s c

kobusy [5.1K]3 years ago

4 0

Find the rate per hour for each of the four asked by diving the total by the number of hours:

Mark: 100 /10 = $10 per hour

Rick: 80 / 9 = $8.89 per hour

Steve: 75 / 8 = $9.38 per hour

Andy: 60 / 5 = $$12 per hour

Now add the four hourly rates and divde by 4:

10 + 8.89 + 9.38 + 12 = 40.27 / 4 = 10.07

Rounded to the nearest whole dollar would be $10 per hour.

The answer is A.

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Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$