Question

Assume a normal distribution, where the mean is 50 and the standard deviation is 10. What is the probability that a randomly drawn item is less than 46?

A. 0.3446
B. 0.0228
C. 0.0668
D. 0.8765

Answer 1

To find the probability that a randomly drawn item is less than 46 in a normal distribution with a mean of 50 and a standard deviation of 10, you can use the standard normal distribution.

Step-by-step explanation:

To find the probability that a randomly drawn item is less than 46 in a normal distribution with a mean of 50 and a standard deviation of 10, we can use the standard normal distribution.

First, we need to standardize the value of 46 using the formula z = (x - mean) / standard deviation.

Substituting the values, we get z = (46 - 50) / 10 = -0.4.

Next, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score. The probability that a randomly drawn item is less than 46 is approximately 0.3446, which corresponds to option A.