Question

Let the random variable x represent the profit made on a randomly selected day by a certain store. assume x has a bell-shaped distribution with a mean of $360 and standard deviation of $50. what is the z-score that corresponds to the likelihood of the profit of $400?

Option 1: 0.80
Option 2: 0.70
Option 3: 1.00
Option 4: 0.90

Answer 1

The z-score that corresponds to a profit of $400 is 0.8.

Step-by-step explanation:

To find the z-score that corresponds to a profit of $400, we need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.

Plugging in the values, we have z = (400 - 360) / 50 = 0.8. Therefore, the z-score that corresponds to a profit of $400 is 0.8.