Answer/Step-by-step explanation:
(a) The likelihood function to estimate this probability can be written as:
mat[1000, 9800]p9580(1 - p)420
(b) The value of the maximum likelihood estimate of the probability 0.958(By taking log of expression in (a) above)
(c) when the true probability is 98%, then it implies that 9800 of 10,000 bulbs did last over 6500hours.
Therefore, the likelihood is p(9800) = mat[10000, 9800]p9800(1 - p)200
(d) Method of moments estimate is the estimation of all the parameters of the population sample.
(e) The statement is FALSE because estimates by the method of moments are not necessarily sufficient statistics, because sometimes fail to take into account all relevant information in the sample. As in the above question
Step-by-step explanation:
(b) If 
then
Note that 
cancel out so we get
Solving for 
we get
(c) I'm not sure what the problem is asking for but here goes. As r doubles, 
becomes
Unbalanced, if it was balanced the ice skater wouldn’t move
The answer is 
First you must use distributive property to simplify.
Then, you must subtract 18 on both sides
Next, add 2 on both sides
Then, subtract 8x on both sides
Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.
Cos A will be 60°.
Because When, cos is 1/2 then theta or angle is degree 60°
