Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the surface of the mineral. A certain mineral specimen is of such an age that there should be an average of 6 tracks per cm^2 of surface area. Assume the number of tracks in an area follows a Poisson distribution. Let X represent the number of tracks counted in 1 cm^2 of surface area. Find:(a) P(X = 7)(b) P(X ≥ 3)(c) P(2 < X < 7)(d) μX(e) σX

a) 0.138

b) 0.938

c) 0.544

d) 6

e) 2.45

Step-by-step explanation:

Let X represent the number of tracks counted in 1 cm^2 of surface area.

The estimated average is 6 tracks per cm^2. This is the parameter λ of the Poisson distribution.

The expression for the Poisson distribution is

Then

a) x=7

b) x≥3

c) 2<x<7

d) and e)

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step-by-step explanation:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: