An orange tabby cat has a litter of 8 kittens. If the probability is 0.38 that an orange tabby kitten will be female, what is the probability that exactly three of the eight will be male

The probability is  

Step-by-step explanation:

From the question we are told that

    The  number of kittens  n  = 8

   The  probability that  n orange tabby kitten will be female q = 0.38

Generally the probability that  n orange tabby kitten will be male is mathematically represented as

=>  

=>  

Generally the distribution of kitten  follows a binomial distribution  

i.e  

and the probability distribution function for binomial  distribution is  

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

So  

Generally the probability that exactly three of the eight will be male is mathematically represented as

=>  

=>  

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x