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(Solved) For Z~N(0,1), determine the q such that Pr[Z q] = . For Z~N(0,1), determine the q such that Pr[Z > q] = . For Z~N(0,1), determine the q such that...


  1. For Z~N(0,1), determine the q such that Pr[Z ≤ q] = .43.
  2. For Z~N(0,1), determine the q such that Pr[Z > q] = .43.
  3. For Z~N(0,1), determine the q such that Pr[-q < Z < q] = .43.
  4. For Z~N(0,1), what is the a such that Pr[a < Z ≤ 1.9] = .62?
  5. For Z~N(0,1), what is the b such that Pr[-1.9 < Z ≤ b] = .62?
  6. For Z~N(0,1), can there be an a such that Pr[a < Z ≤ -.1] = .62? If so, what is it; if not, why not?
  7. For Z~N(0,1), can there be a b such that Pr[.2 < Z ≤ b] = .62? If so, what is it; if not, why not?
  8. For Z~N(0,1), determine Pr[-.2 < Z < .8 | -1.5 < Z ≤ 1.5].
  9. For X ~ N(25, 18), determine Pr[X ≤ 31].
  10. For X ~ N(25, 18), determine Pr[X > 22].
  11. For X ~ N(25, 18), determine Pr[20 < X ≤ 30].
  12. For X~N(25, 18), determine Pr[27 < X ≤ 30 | 20 < X ≤ 31].

 


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