Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 625 to 640 nm. What is the mean and variance of the wavelength distribution for this radiation? Round your answers to one decimal place (e. g. 98.7).

Step-by-step explanation:

Let X the random variable that represent "The wavelengths of photosynthetically active radiations PAR ". And we know that the distribution of X is given by:

The density function is given by:

And for other case.

The mean for this case is given by:

And if we replace we got:

For the variance of the random variable X we can use the following formula:

So then the answer would be:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

27

step-by-step explanation: