mi The time required to assemble an electronic component is normally distributed, with a mean and standard deviation of 14.6 minutes () and 3 minutes (o) respectively. a) Find the probability that a particular assembly takes between 10 and 20 minutes. b) Workers who assemble the components in the fastest 1% of all assemblies will receive a prize. c) The person assembling the components works for 6 hours each day. Find the probability that they will be able to assemble 25 electric components in a normal day. That is, find the probability that the total time to assemble 25 components is less than 6 hours. Hint: Find the average number of minutes per component.

The time required to assemble an electronic component is normally distributed, with a mean and standard deviation of 146 minutes \\( (\\mu) \\) and 3 minutes (ohr respectively. a) Find the probability that a particular assembly takes between 10 and 20 minutes. b) Workers who assemble the components in the fastest \1 of all astemblies will receive a prize. c) The person assembling the components vorks for of hours each day. Find the probability that they will be able to assemble 25 electric components in a normal day. That is, find the probability that the total time to assemble 25 components is less than 6 hours. Hint: Find the ayerage number of minutes per component