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6. Refer to the table below. Given that 2 of the 151 subjects are randomly​ selected,...

6. Refer to the table below. Given that 2 of the 151 subjects are randomly​ selected, complete parts​ (a) and​ (b).

Rh + Rh -

O 43 14

A 38 12

B 16 6

AB 19 3

A. . Assume that the selections are made with replacement. What is the probability that the 2 selected subjects are both group Upper A and type Rh Superscript Rh+​?

____​(Round to four decimal places as​ needed.)

b. Now assume the selections are made without replacement. This means the probability of selecting the second subject who is group A and Rh+ is not the same as the probability of selecting the first subject?

The accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities of the events in parts​ (a) and​ (b) below. Are these events​ unlikely?

a. Four of the test subjects are randomly selected with​ replacement, and they all had true negative test results.

b. Four of the test subjects are randomly selected without​ replacement, and they all had true negative test results.

_ No_(Did_Not_Lie) Yes_(Lied)

Positive_test_result 11 26

Negative_test_result 61 12

a. The probability that all four test subjects had a true negative test result when they are randomly selected with replacement is____.

​(Round to three decimal places as​ needed.)

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