List of top Mathematics Questions on Probability and Statistics asked in NIMCET

Which one of the following is NOT a correct statement?
The number of accidents per week in a town follows a Poisson distribution with mean 2. If the probability that there are three accidents in two weeks time is \( k e^{-6} \), then the value of \( k \) is:
The scores of students in a national level examination are normally distributed with a mean of 500 and a standard deviation of 100. If the value of the cumulative distribution of the standard normal random variable at 0.5 is 0.691, then the probability that a randomly selected student scored between 450 and 500 is:
The mean of 5 observations is 5 and their variance is 124. If three of the observations are 1, 2, and 6, then the mean deviation from the mean of the data is:
The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively are
The first three moments of a distribution about 2 are 1, 16, -40 respectively. The mean and variance of the distribution are