Question

12. Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly​ selected, what is the probability that the subject is not​ lying? Is the result close to the probability of 0.406 for a negative test​ result?

_ No_(Did_Not_Lie)   Yes_(Lied)
Positive_test_results   16 44
Negative_test_results   27 14

The probability that a randomly selected polygraph test subject was not lying is___

(Type an integer or decimal rounded to three decimal places as​ needed.)

13. In a genetics experiment on​ peas, one sample of offspring contained 424 green peas and 120 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4

that was​ expected?

The probability of getting a green pea is approximately ____

​(Type an integer or decimal rounded to three decimal places as​ needed.)

Answer 1

Solution:-

12.  The probability that a randomly selected polygraph test subject was not lying is 0.426

=> (16+27)/(16+27+44+14) = 0.4257 = 0.426

13. The probability of getting a green pea is approximately is 0.779

=> 424/(424+120) = 0.779

=> yes,it is reasonably close.