In a group of 10 kittens, 5 are female. Two kittens are chosen at random. a) Create a probability model for the number of male kittens chosen. b) What is the expected number of male kittens chosen? c) What is the standard deviation?

(b) Expected number of male kitten E(x) = 1

(c) Standard deviation is ±.

Step-by-step explanation:

Given that,

Number of kittens in a group are 10. Out of these 5 are female.

To find:- (a) create a probability model of male kitten chosen.

    So,  total number of kitten = 10

           number of female kitten = 5    

then, Number of male kitten =

Now total number of ways to choosing two kittens from group of 10 =

                                                                                                                 =

                                                                                                                 =

for choosing (i) No male P(x=0) = P(Two female) =  

                                                                           =

                     (ii) 1 male P(x=1) = P(1 male and 1 female) = =   =

                     (iii) 2 male P(x=2)= P(2 male) = =  

                                  0                     1                      2

P(X=)                                                                      

(b) what is expected number of male kittens chosen ?

    Expected number of male kitten E(x) =  

                                                                  =

(c) what is standard deviation ?

No,                          

                                       =

                                       = ±

.,

Step-by-step explanation: