In: Statistics and Probability
The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 17 minutes and 9 minutes, respectively. a. Find the probability that a randomly picked assembly takes between 15 and 22 minutes. b. It is unusual for the assembly time to be above 29 minutes or below 7 minutes. What proportion of assembly times fall in these unusual categories?
SOLUTION:
From given data,
The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 17 minutes and 9 minutes, respectively.
n=17
standard deviation(sd) = 9
a. Find the probability that a randomly picked assembly takes between 15 and 22 minutes.
b. It is unusual for the assembly time to be above 29 minutes or below 7 minutes. What proportion of assembly times fall in these unusual categories
Since the probability not less than 0.05, it is not unusual.
The proportion is 0.2253