Solution:
The standard equation of a hyperbola is expressed as
Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.
Thus, the equation will be expressed in the form:
The asymptote of n hyperbola is expressed as
Given that the asymptotes are
This implies that
To evaluate the value of h and k,
F(x) = -3 + 7 = 4
g(x) = -7 + 3 = -4
f(-3) - g(3) = 4 - (-4) = 4 + 4 = 8
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
Answer:
100 % or 1
Step-by-step explanation:
There are two dice
Each dice has a possible roll of 1,2,3,4,5,6
The possible sums are 2,3,4,5,6,7,8,9,10,11,12
The probability of getting a sum greater than 1 is 100 % or 1 since the outcomes are all greater than 1
F(t)=15000(0.85) ^t => <span>f(t) = $15000(0.85) ^t
Substitute 2 1/3 for t in this equation. This is equivalent to 7/3.
</span> f(7/3) = $15000(0.85)^(7/3)
= $10266.02 (answer)
