Question

In: Statistics and Probability

Answer the following questions using the below information about blood-type (O, A, B, AB), Rh-factor, and...

  1. Answer the following questions using the below information about blood-type (O, A, B, AB), Rh-factor, and HIV-status.

Blood Type

Rh-Factor

Worldwide HIV/AIDS Prevalence

O:    46%

Rh+: 84%

HIV/AIDS+:   0.9%

A:    40%

B:    10%

Rh-: 16%

HIV/AIDS-:   99.1%

AB:    4%

  1. How many different outcomes are possible combining the above three data?

# of possible outcomes to Event A x # of possible outcomes to Event B = # of ways  

  1. What is the probability of having blood type O or B?

  1. What is the probability of being HIV-positive with blood type AB, Rh-negative?  

Solutions

Expert Solution

(a)

Total number of different outcomes that are possible combining the above three data = 4 X 2 X 2 = 16

So,

Answer is:

16

(b)

P(Blood type O OR Blood type B)= P(Blood type O) + P(Blood type B)

                                                   = 0.46 + 0.10 = 0.56

So,

Answer is:

0.56

(c)
P(HIV Positive AND Blood type AB AND Rh negative) =P(HIV Positive) X P(Blood type AB) X P(Rh negative)

                                                                               = 0.009 X 0.04 X 0.16 = 0.0000576

So,

Answer is:

0.0000576

orchestra answered 2 years ago
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