7
QuizMultiple Choice

Applications with Standard Normal Distribution — Quiz

Question 7 • Mathematics III

Which of the following statements is equivalent to cap p times open paren z is greater than or equal to 1 point 7 close paren ?

Answer
A
cap p times open paren z is greater than or equal to negative 1 point 7 close paren
B
1 minus cap p times open paren z is greater than or equal to negative 1 point 7 close paren
C
1 minus cap p times open paren z is greater than or equal to 1 point 7 close paren
D
cap p times open paren z is less than or equal to 1 point 7 close paren

Explanation

For a standard normal variable, symmetry gives P(Z ≥ 1.7) = P(Z ≤ −1.7). The complement of P(Z ≥ −1.7) is P(Z < −1.7), which is the same as P(Z ≤ −1.7) for a continuous distribution. So the equivalent statement is choice B: 1 − P(Z ≥ −1.7).

AI-written and checked against the verified answer.

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