Question Details O Ask Your Teac the standard z-score that corresponds to the fo

Question

Question Details O Ask Your Teac the standard z-score that corresponds to the following. (Give your answers correct to two decimal places.) The area to the left of this value is 0.65. Question Details Ask Youre Apply the empirical rule (68-95-99.7 Rule), what percentage of the area under the normal curve lies as given below? (Reminder: The answers are in percentage instance, if the area is 20%, you need only place 20 in the box.) (a) between 1-20 and + 2 (b) to the right of + 3a (Use 2 decimal places. For instance, enter 2.15 in the box for an area of 2.15%)

Explanation / Answer

1) P(Z < z) = 0.65

or, z = 0.39

2) a) P( - 2 < X < + 2) = P(-2 < Z < 2) = 95%

b) P(X > + 3) = P(Z > 3) = (100 - 99.7) / 2 = 0.15%

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