10. 150
11. 1250
12. 105
13. 158000
15. B
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
6.50x+2.50y = total
with x = # of movie tickets
with y= # of bags of popcorn
x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .
Area of a figure is the amount of space acquired by the figure
Area of a rectangle=Length x breadth
length=x
breadth=x/2
Area of rectangular lawn=lxb
=x.x/2
But as per question,
Area=271 ft²
⇒x²/2=271 1
⇒x=23.28 ft²
Therefore, x²/2 =271 represents the situation where taking length twice as breadth and area as 271 ft² .Value of x i.e. length is 23.28 ft²
Learn more about area,
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