Question

75% if owned dogs in the United States are spayed or neutered. If 47 dogs are randomly selected, find the probably that:

A.) exactly 36 of them have been spayed or neutered.

B.) at most 30 of them have been spayed or neutered.

C.) At least 35 of them have been spayed or neutered.

D.) between 30 and 40 (including 30 and 40) of them have been spayed or neutered.

Answer 1

Solution:

Here p = proportion of dogs spayed or neutered = 0.75

n = 47

A. We have to find P( x = 36 ) = _______ ?

Using excel , =BINOMDIST(36,47,0.75,FALSE)

P( x = 36 ) = 0.1320

B. We have to find P( x 30 ) = _______?

Using excel , =BINOMDIST(30,47,0.75,TRUE)

P( x 30 ) = 0.0587

C. We have to find P( x 35 ) = ________ ?

Using excel, =1-BINOMDIST(34,47,0.75,TRUE)

P( x 35 ) = 0.6098

D. we have to find P( 30 x 40 ) ______ ?

Using excel, =BINOMDIST(40,47,0.75,TRUE)-BINOMDIST(29,47,0.75,TRUE)

P( 30 x 40 ) = 0.9376

Done