Question

Given that prices at Urban Outfitters are normally distributed with a mean of $46.27

and the standard deviation of $35.82. Find the percent that P(x > 27).
А) 42.44 %
(C) 29.53 %
B) 70.47 %
D) 57.56 %

Answer 1

Calculating the z-score for the given value of 27 and finding the area to the right of this z-score, which is 29.53%

Therefore, the correct answer is option (C) 29.53%.

Step-by-step explanation:

To find the probability that P(x > 27) in a normal distribution with a mean of $46.27 and a standard deviation of $35.82, we need to calculate the z-score for the given value of $27.

The formula for z-score is:

z = (x - mean) / standard deviation

Substituting the given values, we get:

z = (27 - 46.27) / 35.82

= -0.538

Next, we need to find the area to the right of this z-score.

Since the distribution is normal, we can use a z-table or a calculator to find this area. In this case, the area to the right of -0.538 is 0.2975 or 29.75%.