A die is rolled. Find the probability of the given event. (a) The number showing is a 6; The probability is: (b) The number showing is an even number; The probability is: (c) The number showing is greater than 3; The probability is: 84

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)

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X~N (7.5,2.5) Find the probability that x is between three and nine.