Statistics I2080.110 marksNumerical: Normal distribution proportionsContinuous distribution
Define normal distribution. What are the main characteristics of normal distribution? Extruded plastic rods are automatically cut into length 5 inches. Actual length are normally distributed about a mean of 5 inches and their standard deviation is 0.05 inches. (i) What proportion of rods exceed tole
Define normal distribution. What are the main characteristics of normal distribution? Extruded plastic rods are automatically cut into length 5 inches. Actual length are normally distributed about a mean of 5 inches and their standard deviation is 0.05 inches. (i) What proportion of rods exceed tolerance limits of 4.9 inches to 5.1 inches? (ii) Proportion of rods having tolerance rod which is greater than 6.5 inches.[10]
A normal distribution is a continuous probability distribution, symmetrical and bell-shaped about its mean, defined by two parameters, mean $\mu$ and standard deviation $\sigma$. Its probability density function is: $$f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\ri...