Lecture Session 11 Topic

https://drive.google.com/drive/folders/1Fx8ABw-uhxShEKrTv6icRf-d34M0ZEj_?usp=drive_link

1. The resistance of a resistor is normally distributed with mean 100 Ω and standard deviation 2 Ω.
(a) Find the probability that a resistor has resistance between 98 Ω and 102 Ω.
(b) Find the value R such that 95% of resistors have resistance less than R.

2. In a manufacturing process, the diameters of ball bearings are normally distributed with mean 20.0 mm and standard deviation 0.02 mm. Bearings are acceptable if their diameter is between 19.96 mm and 20.04 mm.
Find the percentage of bearings that are rejected.

3. The noise voltage in an amplifier is normally distributed with mean 0 mV and standard deviation 1.5 mV.
(a) Find the probability that the noise voltage lies between -2 mV and +2 mV.
(b) Find the voltage level V such that only 1% of the noise exceeds V in magnitude.

4. The thickness of a metal sheet is normally distributed with mean 5.0 mm and standard deviation 0.03 mm.
(a) Find the proportion of sheets with thickness between 4.95 mm and 5.05 mm.
(b) If the acceptable range is ±2σ from the mean, what percentage of sheets will be rejected?