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The two-way table shows the results of a recent study on the effectiveness of the flu vaccine. Let N be the event that a person tested negative for the flu, and let V be the event that the person was vaccinated.

A 4-column table has 3 rows. The first column has entries Vaccinated, not vaccinated, total. The second column is labeled Positive with entries 465, 485, 950. The third column is labeled Negative with entries 771, 600, 1,371. The fourth column is labeled Total with entries 1,236, 1,085, 2,321.

Answer the questions to determine if events N and V independent. Round your answers to the nearest hundredth.

P(N|V) =

P(N) =

Are events N and V independent events? Yes or no?

Respuesta :

Answer:

P(N|V) =      0.62

P(N) =       0.59

Are events N and V independent events? Yes or no?    NO

Step-by-step explanation:

Parrain

Based on the figures given by the recent study on the effectiveness of the flu vaccine, the following are true:

  • P(N|V) = 0.62.
  • P(N) = 0.59.
  • The events are not independent.

What is the probability of being negative and vaccinated?

This can be found as:

P(N|V) = Number of people vaccinated and negative / Total number of people vaccinated

= 771 / 1,236

= 0.62

What is the probability of being negative?

= Number of negative people / Number of people studied

= 1,371 / 2,321

= 0.59

These events are not independent because those who are vaccinated are more likely to be positive.

Find out more on probability at https://brainly.com/question/24756209.

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