Question

Find the specified probability. round your answer to four decimal places, if necessary. p(0 < z < 1.89).

a) 0.4286
b) 0.4162
c) 0.4738
d) 0.4913

Answer 1

To find the probability, we need to use the normal distribution and the z-table. The difference between the areas gives us the probability. However, none of the options provided matches the correct answer.

Step-by-step explanation:

To find the probability, we need to use the normal distribution and the z-table. The z-table provides the area to the left of each z-score. In this case, we need to find the area between 0 and 1.89. Looking up the z-scores for these values in the z-table, we find that the area to the left of 0 is 0.5 and the area to the left of 1.89 is 0.9719. Therefore, the probability is the difference between these two areas: 0.9719 - 0.5 = 0.4719. Rounded to four decimal places, the probability is 0.4719, which is not one of the choices given. So the correct answer is none of the options provided.