The telephone department will install a second booth when convinced that an arrival would expect waiting for at least 3 minutes for phone call. By how much should the flow of arrivals increases in order to justify a second booth?
The installation of second booth will be justified if the arrival rate ________ ______ ______ _____ ______ _______ ______.
___ _____ ____ ________ _______.
__________ ______ ____ ______ ____ ______ _______.
____ _______ __________ __________ ______.
________ __________ ______ _________ ______ _______ ___ ___ _________ ___.
________ _____ _______ _______ _______ ___.
_____ ____ _________ _________ ____ ____ ________ __________ ________.
____ ________ _______.
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Twelve samples of 4 LED bulbs were selected at regular intervals from a LED bulbs manufacturing company. If bulbs have mean life equal to 2000 hours, it is considered satisfactory. The SD of life of the bulbs is expected to be 520 hours. On testing the samples, the failure times (in hours) were recorded and given below:
| Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 | Sample 7 | Sample 8 | Sample 9 | Sample 10 | Sample 11 | Sample 12 |
| 2081 | 1528 | 1984 | 1728 | 1804 | 2002 | 1994 | 1616 | 1982 | 2132 | 2134 | 1749 |
| 1363 | 1330 | 2384 | 1972 | 1845 | 1804 | 2023 | 1832 | 2342 | 1998 | 2140 | 1948 |
| 2092 | 2053 | 2194 | 1647 | 2132 | 1760 | 2136 | 1497 | 2132 | 1554 | 1756 | 2050 |
| 2385 | 1945 | 1456 | 1792 | 2024 | 2035 | 1842 | 1692 | 1994 | 1777 | 1994 | 1857 |
Let X is the advertisement expenditures (in Lakh Rs.) and Y is the sales (in Lakh Rs.). Let the data are
| X: | 1182 | 1172 | 1264 | 1493 | 1571 | 1711 | 1804 | 1840 | 1956 | 1956 |
| Y: | 129 | 135 | 147 | 160 | 171 | 184 | 198 | 223 | 240 | 293 |
If X is a continuous random variable then
The telephone department will install a second booth when convinced that an arrival would expect waiting for at least 3 minutes for phone call. By how much should the flow of arrivals increases in order to justify a second booth?
State whether the following statements are true or false and also give the reason in support of your answer:
b) In cluster sampling the variance within clusters is greater than the variance between
clusters.
c) While analysing the data of a 5 × 5 Latin Square design the error d.f. is equal to 12.
d) In a Two way analysis of variance with 4 blocks & 4 treatments the degree of freedom
for the total variation is 15.
e) Suppose a random number generated by Middle. Square Method is 16, then the next
random number will be 44.
If a random variable X may assume values then it cannot be discrete random variable
If magnitude of earthquakes recorded in a region of a country follows a distribution with parameter θ whose pdf is given below: then
(i) Show that the estimators of the parameter θusing maximum likelihood and method of moments are same,
(ii) Show that maximum likelihood estimator is unbiased and sufficient forthe parameter θ.