Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous system, causing encephalopathy and ultimately death. The Florida Department of Health reports the distribution of documented cases of rabies for all of 2004:

Species Racoon Fox Bat Other
Probability 0.55 0.11 0.04 ?
(a) What probability should replace ? in the distribution? Please use 2 decimal places.
(b) What is the probability that a reported case of rabies is not a raccoon? Please use 2 decimal places.
(c) What is the probability that a reported case of rabies is either a bat or a fox? Please use 2 decimal places.

Respuesta :

Answer:

a) Therfore, the probability is P=0.30.

b) Therfore, the probability is P=0.45.

c) Therfore, the probability is P=0.15.

Step-by-step explanation:

Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The Florida Department of Health reports the distribution of documented cases of rabies for all of 2004:

Species Racoon Fox Bat Other  

Probability 0.55 0.11 0.04 ?

a) We have

[tex]P(R)=0.55\\\\P(F)=0.11\\\\P(B)=0.04\\[/tex]

Therfore, the probability for others is

[tex]P(O)=1-[P(R)+P(F)+P(B)]\\\\P(O)=1-[0.55+0.11+0.04]\\\\P(O)=1-0.7\\\\P(O)=0.30[/tex]

Therfore, the probability is P=0.30.

b) We calculate the probability that a reported case of rabies is not a raccoon.

[tex]P=1-P(R)\\\\P=1-0.55\\\\P=0.45[/tex]

Therfore, the probability is P=0.45.

c) We calculate  the probability that a reported case of rabies is either a bat or a fox.

[tex]P=P(B)+P(F)\\\\P=0.04+0.11\\\\P=0.15[/tex]

Therfore, the probability is P=0.15.