In austria, 30% of the population has a blood type of o+, 33% has a+, 12% has b+, 6% has ab+, 7% has o-, 8% has a-, 3% has b-, and 1% has ab-. if 15 austrian citizens are chosen at random, what is the probability that 3 have a blood type of o+, 2 have a+, 3 have b+, 2 have ab+, 1 has o-, 2 have a-, 1 has b-, and 1 has ab-?

The probability that 3 have a blood type of O+, 2 have A+, 3 have B+, 2 have AB+, 1 has O-, 2 have A-, 1 has B-, and 1 has AB- is 0.0011%

Explanation: For calculate the probability, we have to use multinomial distribution:

P=n!

n: number of trials, p: probability for each possible outcome, k: number of possible outcomes.

The probability of each blood type are:

If 15 Austrian citizens are chosen at random, there are 15 trials. n=15

for n1=3 because 3 P(0+)

for n2=2 because 2 P(A+)

for n3=3 because 3 P(B+)

for n4=2 because 2 P(AB+)

for n5=1 because 1 P(0-)

for n6=2 because 2 P(A-)

for n7=1 because 1 P(B-)

for n8=1 because 1 P(AB-)

k=8 (because there are 8 possibilities)

P=0.000011

Px100=0.0011

fluid balance is an aspect of the homeostasis of organisms in which the amount of water in the organism needs to be controlled, via osmoregulation and behavior, such that the concentrations of electrolytes (salts in solution) in the various body fluids are kept within healthy ranges. the core principle of fluid balance is that the amount of water lost from the body must equal the amount of water taken in.