Question

"A blood bank for a local hospital has a supply of plasma for which some have been contaminated with a virus causing hepatitis. If 7 of the 48 units in the supply are contaminated, what is the probability that a severely injured accident victim given 5 units of plasma will not be exposed to the hepatitis virus

Answer 1

Answer:

The probability that the victim not getting hepatitis virus is 0.4547  

Explanation:

We have given that 7 of 48 units of blood is contaminated with virus causing hepatitis.

So probability of getting hepatitis virus is $=\frac{7}{48}=0.1458$

So probability of not getting hepatitis virus = 1 - 0.1458 = 0.8542

It is given that severely injured accident victim given 5 units of plasma

So probability that the victim not getting hepatitis virus = $0.8542^5=0.4547$

So the probability that the victim not getting hepatitis virus is 0.4547