Please answer all parts:

\fThe first ten 15% likelihood intervals (likelihood-based approximate 95% confidence intervals) are: [, 1] [, 2] [1, ] 2. 112486 5. 071269 [2, ] 2. 205777 5. 295225 [3, ] 2. 053017 4.928507 [4, ] 2. 788057 6. 692996 [5, ] 3. 385269 8. 126673 [6, ] 3. 979774 9.553852 [7, ] 4. 079280 9. 792728 [8, ] 3. 109551 7.464780 [9, ] 2. 704298 6. 491924 [10, ] 3. 743473 8. 986584 Answer the following questions regarding the 15% likelihood intervals: a) Depending on the value of theta is it possible that some likelihood intervals will not contain only values greater than 0? Why or why not? b) The proportion of 15% likelihood intervals which contain the true value of theta is ? c) How close is this proportion to 0.95? What are the reasons for this