) Let X1 be an observation from an exponential distribution with the p.d.f.
Test the null hypothesis that the mean of the distribution is against the alternative hypothesis that is
. The null hypothesis is accepted if and only if the observed value of the random variable is less than 3. Find the probabilities of type-I and type-II errors.
______ _______ ____ _______ ____ ________ _______ ______.
___ __________ ___ ___ _________ _____ __________ _____ _________ ____ _________.
___ ______ __________ _________ __________ _____ ________ _____ ___ ________ ________.
_______ _______ _________ _______ _______ ______ ____ __________ ___.
_________ ________ ________ ___ _____.
________ ______ ________ ___ ___ ______ ___.
________ __________ _______ _________ _____ __________ _____ _____ _________.
_______ ______ ________ ______ ____ _____.
______ _______ _______ ________ __________ ___ _______ _________ ________.
__________ __________ __________ _______ ____ _________ _________ ________ ___.
____ _________ __________ __________ _________ _________ ______ _________ _________.
__________ ___ _____ _______ ______ _____ __________ _______ __________ ________ ________ ___.
_____ _______ _______ ______ __________ _______ _______ _________.
______ __________ ___ ___ _________ _____ ____.
__________ ____ ____ _______ _________ ________ _____ ____ ______ ___ ________.
_________ _________ _____ ___ ___ _____.
_____ ____ ___ ________ ___ ________ ________ ___ _______ ______.
________.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
6 observations on (X, Y) yielded the following data:
i) Determine the correlation coefficient between X and Y.
ii) Given , what will be the predicted value of Y?
iii) Given , what will be the predicted value of X?
एक पासे को 60 बार फेंकने से निम्नलिखित परिणाम प्राप्त होते हैं :
| पासे का मुख | 1 | 2 | 3 | 4 | 5 | 6 |
| बारम्बारता | 8 | 7 | 12 | 8 | 14 | 11 |
A die is thrown 60 times with the following results:
| Face of die | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 8 | 7 | 12 | 8 | 14 | 11 |
Test that the die is unbiased at level of significance. Given that at 5, 6 and 7 d.f. the value of
are 11.070, 15.592 and 14.067 respectively.
Let E1, E2, E3 and E4 be arbitrary events. Write the following events in set notations: i) not more than one of E1, E2, E3, E4.
ii) one and only one of E1, E2, E3, E4.
iii) E1 and at least one of E2, E3, E4.
iv) none of E2, E3 and E4 using E1.
b) Let the probability density function of r.v. X be
and if
and
, find Cov(u, v). Also check the independence of u and v.
For married couples living in a certain locality, the probability that the husband will vote in a school board election is 0.21, the probability that they both will vote is 0.15. What is the probability that
i) at least one of them will vote?
ii) neither of them will vote?
) Let X1 be an observation from an exponential distribution with the p.d.f.
Test the null hypothesis that the mean of the distribution is against the alternative hypothesis that is
. The null hypothesis is accepted if and only if the observed value of the random variable is less than 3. Find the probabilities of type-I and type-II errors.
The probability that a card will have a flat tyre while crossing a certain bridge is 0.00005. Find the probability that, among 10,000 cars crossing the bridge, i) exactly two cars will have a flat tyre.
ii) at most two cards will have a flat tyre.