Basic Statistics207910 marksNumerical: normal distribution mean sdNormal distribution properties and applications
Define normal distribution and standard normal distribution. In an examination, 10% students got less than 20 marks and 95% got less than 75 marks. Assuming the distribution to be normal, find the mean and standard deviation.
Define normal distribution and standard normal distribution. In an examination, 10% students got less than 20 marks and 95% got less than 75 marks. Assuming the distribution to be normal, find the mean and standard deviation.[10]
- $P(X < 20) = 0.10$ (10% got less than 20 marks) - $P(X < 75) = 0.95$ (95% got less than 75 marks) - Distribution is normal with unknown mean $\mu$ and standard deviation $\sigma$ --- A normal distribution is a continuous probability distribution that is symmetric and bell-shaped about its mean....