In a certain game, Ravi beats Pawan with probability 2/5. They play a series of games until one of them wins six games. Assume that each game is independent of the other. Find the probability that the series will end after 10 games
The solution to a transportation problem with 3-rows (supplies) and 3-columns (destinations) is feasible if number of positive allocations is 6
A person has two independent investments A and B, but he can undertake only one at a time due to certain constraints. He can choose A first and then stop, or if A is successful, then take B or vice-versa. The probability of success of A is 0.6 while for B it is 0.4. Both investments require an initial capital outlay of Rs. 10,000 and both return nothing if the venture is unsuccessful. Successful competition of A will return Rs. 20,000 (over cost) and successful completion of B will return Rs. 24,000 (over cost). Draw an appropriate decision tree and determine the best strategy.
In a population of size N = 5, the values of the population characteristics are 1, 3, 5, 7, 9, a sample of size 2 is drawn. Verify that is an unbiased estimate of
and V(
) is equal to
If X1, X2, X3, X4 and X5 is a random sample of size 5 taken from anExponential distribution, then estimator T1 is more efficient than T2.
The Z calculated value for testing the following hypothesis is 1.56.
H0 := 100 and H1 :
100
Then the p-value will be 0.256.
In the following data two values are missing. Estimate these values and analyse the design given as:
| Treatment | Blocks | ||
| I | II | III | |
| A | 12 | 14 | 12 |
| B | 10 | Y | 8 |
| C | X | 15 | 10 |
A newspaper publisher, trying to pinpoint his market’s characteristics wondered whether newspaper readership in the community is related to readers’ educational achievement. A survey questioned adults in the area on their level of education and their frequency of readership. The results are shown in the following table:
| Frequency of Readership | Level of Educational Achievement | |||
| Professional or postgraduates | College graduates | High school grad | Did not complete high school | |
| Never | 10 | 17 | 11 | 21 |
| Sometimes | 12 | 23 | 8 | 5 |
| Morning or evening | 35 | 38 | 16 | 7 |
| Both editions | 28 | 19 | 6 | 13 |
Do these data provide the sufficient evidence that frequency of newspaper readership in the community differ according to the reader’s level of education?
(i) Calculate expected frequencies for this problem
(ii) State null and alternative hypotheses.
(iii)Calculate the value if the test statistic.