Let E and F be two events with P(E ) > 0, P(F|E) = 0.3 and P(E ∩ Fc ) = 0.2. Then P(E) equals:
The annual vehicles production (In lacs) in India is given in the pie chart.
If the annual production of motor cycle is 1.80 lacs, the annual production
Link relatives in a time series remove the influence of :
A and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36, then P(A) and P(B), respectively are :
If the actual values in time series from 2000 to 2006 are 77, 88, 94, 85, 91, 98 and 90 and the equation of the trend line with 2003 as origin is Y = 89 + 2X , then in case of multiplicative model, the trend eliminated values are :
If a time series data is given below then find three yearly moving averages to find trend.
Which one of the options is correct:
The probability that a contractor gets a plumbing contract is 2/3 and the probability that he will not get an electric contract is 5/9. If the probability of getting at least one contract is 4/5, then the probability that he will get both the contracts is :
In time series analysis which source of variation can be estimated by the ratiototrend method:
If the arithmetic mean is 26.8 and the median is 27.9, then the mode is :
Consider the following time series data :
Fitting a straight-line, is the trend value for the year 1992 is :
Let A and B be the two possible outcomes of an experiment and suppose P(A) = 0.4, P(A U B) = 0.7 and P(B) = p, for what choice of p, A and B independent?
In multiplicative model of time series: Xt= Tt x St x Ct x It, where Tt , St , Ct , It are trend, seasonal, cyclical and irregular components, what can be said about the values of It?
For four observations 1, 0, 1, 4, the measure of kurtosis equals
To remove quadratic trend from an additive time series, differencing :
For two equally likely, exhaustive and independent events A and B, P(A ∩ B) is :
In a multiplicative time series model, the seasonal indices computed by the ratiototrend method
Following histogram shows certain frequency distribution against class intervals.
Fill up the blank: The secular trend is the part of time points where more or less regular and _______ is observed showing either the tendency of growth or decline.
Demand for seats in a university is at its highest in the fall; demand also trends to grow and fall off in 25 year waves. In time service forecasting, the former demand characteristic would be called_______ and the latter would be called ___________.
A closet contains 8 pairs of shoes. If 4 shoes are chosen at random, then the probability that all the four shoes are of the same type (left or right) is :
If the equation of exponential trend with 2004 as origin is Y= 20(1.5)x , Then equation of the exponential trend with 2006 as origin is :
Moments are statistical constants from which we can find the different features of a distribution. Which one of the following is INCORRECT ?
If the trend line with 2008 as origin is Y= 20.6 + 1.68X, then the trend line with 2004 as origin is :
If A1 , A2 and A3 are three independent events with P(A1 ) = 1/3, P(A2 ) = 1/4 and P(A3 ) = 2/5, then the probability that exactly one of the events occurs is :
If the annual trend of production (Y) of a certain commodity in a factory with origin 2,000 and X unit = one year is Y= 148.8 + 7.2X Then the monthly trend equation is :
Based on results of 2 way ANOVA, the SSE was computed to be 139.4. If we ignore one of the factors and perform one way ANOVA using the same data, SSE will :
In a class, there are 25 students whose average age decreases by 3 months when one student aged 22 years is replaced by a new student. The age of the new student is :
Ratio to trend method for seasonal indices provide good results if:
If P(A ∩ B) = 1/2, P(Ac ∩ Bc ) = 1/2 and 2P(A) = P(B) = p, then the value of p is :
In ANOVA for testing the equality of group means, one conducts