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:
Monthly interest rate is r=0,004375
Monthly principal c=590,625
Step-by-step explanation:
Monthly interest payment rate :
Now, we need to find monthly principal payment : 
Use this rule : 
P=108000
r=0,004375
Answer:
Step-by-step explanation:
The distance between the tree and the tower is 30√3m.
Justification:
<u>Let the situation be in a right angleABC form as shown in attached figure</u>.
<u>Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°</u>.
So, In ΔABC
tanθ = p/b
tan30° = 30/BC
1/√3 = 30/BC
BC = 30√3m.
Answer:
63 baskets
Step-by-step explanation:
Given data,
Steve sold = 252 baskets
Evie sold = 25 fruit basket for each 100 basket sold by Steve
So, Evie is selling 25% of baskets sold by Steve.
We can calculate the total number of basket sold by Evie by using following formula,
Evie total basket sold = Percent sold by Evie × Basket sold by Steve
By putting the value, we get
Evie total basket sold = 25% × 252
= 63 baskets
