Mathematics: Help ASAP I need this one answered please please please

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 At most 3 hours?b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations? What is the probability that it is less than the mean value by more than one standard deviation?Step-by-step explanation:Previous conceptsThe exponential distribution is the probability distribution of the time between events in a Poisson...

Help ASAP I need this one answered please please - id7022174, superstarsara5ouh83x

Ответ:

littledudefromacross

29.01.2022

Mathematics

Yes

Step-by-step explanation:

For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.

Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.

Thus, we have:

LM/XY = ON/WZ = MN/WZ = LO/ZY

35/10 = 35/10 = 63/18 = 63/18

It would give us a scale factor of 3.5

They are similar.

The answer is:

YES

LMNO ~ WXYZ

Scale factor = 3.5

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Ответ:

Reward18

07.01.2021

Mathematics

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(X13.62) = 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:

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