If 7sin² ϕ + 3cos² ϕ= 4, then find the value of ϕ ?
7sin²ϕ + 3cos² ϕ= 4sin² ϕ+ 3sin² ϕ +3cos² ϕ = 4 4sin² ϕ+ 3(sin2 ϕ + cos2ϕ) = 4 4sin²ϕ+ 3 (1) = 4 4sin²ϕ + 4 - 3 = 1 4sin²ϕ = 1 sin²ϕ= 1/4 sin ϕ = 1/2 sin30° = 1/2 Hence, ϕ = 30
The first four moments of a distribution about the origin are -1.5,17,-30 and 108. The third moment about the mean is:
A Poisson distribution has a double mode at x = 1 and x = 2. The probability for x = 1 or for x = 2 of these two values is:
Which option is WRONG?
The mode of the given data set is 12. The sum of the frequency on both sides of mode are 16. The skewness:
For the price -quantity chart
the Laspeyres price in...
The variation among the observations of each specific class is known as:
The mean and median of the distribution are 10 and 11 respectively, then the mode equals to
The deseasonalised time - series data will have only trend (T), cyclical (C) and irregular (I) components and is expressed as: