Answer:
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