Saguaro cacti are large cacti indigenous to thesouthwestern United States and Mexico. Assume that thenumber of saguaro cacti in a region follows a Poisson distributionwith a mean of 280 per square kilometer. Determinethe following:(a) Mean number of cacti per 10,000 square meters.(b) Probability of no cacti in 10,000 square meters.(c) Area of a region such that the probability of at least twocacti in the region is 0.9.

Step-by-step explanation:

Given that Saguaro cacti are large cacti indigenous to thesouthwestern United States and Mexico. Assume that thenumber of saguaro cacti in a region follows a Poisson distribution with a mean of 280 per square kilometer.

a) Mean number of cacti per 10,000 square meters=280*10000 = 2800000

b) P(no cacti in 10000) sq m = P(X=0) for Poisson with parameter 2800000

= 0

(almost uncertain event)

c) Area of a region such that the probability of at least twocacti in the region is 0.9.

We get this is possible if mean = 8.4 for Poisson

i.e. region should have area as

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!