Question

The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 16 minutes and 4 minutes, respectively. What is the probability that it will take less than 20 minutes to assemble the component?

Answer 1

To find the probability that the assembly time is less than 20 minutes, calculate the z-score and look it up in the standard normal distribution table.

Step-by-step explanation:

To find the probability that it will take less than 20 minutes to assemble the electronic component, we need to calculate the z-score and then look up the corresponding value in the standard normal distribution table.

The z-score is calculated using the formula:

z = (x - mean) / standard deviation

Plugging in the values:

z = (20 - 16) / 4 = 1

Looking up the z-score of 1 in the standard normal distribution table, we find that the corresponding probability is approximately 0.8413.

Therefore, the probability that it will take less than 20 minutes to assemble the component is approximately 0.8413.