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:

hunhgunyt7 in u uuuhiuteu

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies