A population of red-bellied snakes is known to have a ratio of grey color morph to red color morph of 53:47. You wish to know the probability of selecting a random sample of 30 snakes containing 10 or fewer red morph individuals. Use a statistical program to determine the exact probability of getting 10 or fewer grey morph individuals.

The probability is

Step-by-step explanation:

We know that the ratio of grey color morph to red color morph is

This can be written in terms of probability as :

This means that the probability of obtain a red color morph snake in a random sample of 100 snakes is (If I only randomly select one snake).

Now, the number of red color morph snakes in a random sample ''n'' can be modeled as a binomial random variable. Where ''p'' is the success probability (In our case, the probability from obtain one red color morph snake out of 100 snakes) ⇒

''Number of red color morph snakes in the sample''

In our case,

⇒ ~ Bi (n,p) ⇒ ~ Bi (30,0.47)

The probability function for is :

Where is the combinatorial number define as    ⇒

We need to calculate the probability of

This probability is equal to :

For example,

We need to calculate all the terms of the sum and then calculate

If we use any statistical program we will find that

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out