According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two babies being born independently of one another. The probability that neither baby contracts the influenza virus in a given year is

Question

Thelma

Mathematics

21 October, 22:10

According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two babies being born independently of one another. The probability that neither baby contracts the influenza virus in a given year is

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Amara Marsh · Answer 1

The probability that neither baby contracts the influenza virus in a given year is 0.640.

Step-by-step explanation:

Probability of catching influenza virus = 20% = 0.2

We can find the probability of not catching the influenza virus as:

Probability of not catching the influenza virus = 1 - (Probability of catching the influenza virus)

= 1 - 0.2

Probability of not catching the influenza virus = 0.8

If two babies are born independently, we can compute the probability that neither of them catches the influenza virus as:

0.8 x 0.8 = 0.64

The probability that neither baby contracts the influenza virus in a given year is 0.64.