Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find P(A). (b) Find P(B A). (cC) Find P(A and B). (d) Are A and B independent? Explain.

Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA (b) Find PB|A (c) Find PA and B (d) Choose one (are/are not) and (less/equally) The events A and B (choose one) are not independent because if the first component is defective, the second component is (choose one) less likely to be defective.

5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c.   a. Given that a test result is negative​ (NEG), what is the probability that the fetus actually has Down​ syndrome?   P(D|NEG)=   b.  Given that the fetus has Down​ syndrome, what is the probability that the test result is​ negative?   P(NEG|D)=   c. Is P(D|NEG) equalt to P(NEG|D)?   A. Yes, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   B. No, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG).   C. No, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   D. ​Yes, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG)

You randomly select an integer from 0 to 7 ​(inclusively) and then randomly select an integer from 0 to 9 ​(inclusively). What is the probability of selecting a 3 both​ times?