Question

1. Suppose that X 1 , X 2 and X 3 are i.i.d (i.e. independent and...

1. Suppose that X 1 , X 2 and X 3 are i.i.d (i.e. independent and identically distributed) random
variables each with mean and variance . Which of the following three point estimators of is the “best”
point estimator? Justify your answer.

2.The mean annual salary for flight attendants is about $65,700 and the standard deviation is
$14,500. A random sample of 100 flight attendants is selected from this population.
What is the probability that the mean annual salary of the sample is
a) less than $64,250

b) greater than $69,470
c) between $64,250 and $67,875
d) Find the third quartile of the sampling distribution of the man annual salaries.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
X and Y ar i.i.d. exponential random variables with mean = 2. Let Z = X...
X and Y ar i.i.d. exponential random variables with mean = 2. Let Z = X + Y. The probability that Z is less than or equal to 3 is:
Question 2. Let a sample of size 7, X1, ...., X7 (i.i.d) be a random variable...
Question 2. Let a sample of size 7, X1, ...., X7 (i.i.d) be a random variable X which gives the volume in (ml) of blood for a paraplegic man who participates in vigorous physical activity which is normally distributed with an average µX and variance σ 2 X. Another sample of size 10, Y1, ...., Y10 (i.i.d) as a random variable Y which gives the volume of blood (in ml) for a normal man, who is busy in his ordinary...
1. The breaking strengths (measured in dynes) of nylon fibers are normally distributed with a mean...
1. The breaking strengths (measured in dynes) of nylon fibers are normally distributed with a mean of 12,500 and a variance of 202,500. a) What is the probability that a fiber strength is more than 13,175? b) What is the probability that a fiber strength is less than 11,600? c) What is the probability that a fiber strength is between 12,284 and 15,200? d) What is the 90 th percentile of the fiber breaking strength? 2. Suppose that X, Y...
Suppose X and Y are independent Geometric random variables, with E(X)=4 and E(Y)=3/2. a. Find the...
Suppose X and Y are independent Geometric random variables, with E(X)=4 and E(Y)=3/2. a. Find the probability that X and Y are equal, i.e., find P(X=Y). b. Find the probability that X is strictly larger than Y, i.e., find P(X>Y). [Hint: Unlike Problem 1b, we do not have symmetry between X and Y here, so you must calculate.]
Suppose x has a distribution with a mean of 20 and a standard deviation of 3....
Suppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn. Is the sampling distribution of x normal? How do you know? What is the mean and the standard deviation of the sampling distribution of x? Find the z score corresponding to x = 19. Find P (x < 19). Would if be unusual for a random sample of size 36 from the x distribution to...
1. Suppose A and B are independent events with probabilities P(A) = 1/2 and P(B) =...
1. Suppose A and B are independent events with probabilities P(A) = 1/2 and P(B) = 1/3. Define random variables X and Y by X =Ia+Ib, Y=Ia-Ib, where Ia, Ib are indicator functions (a) What is the joint distribution of X and Y? (b) What is P(X less than 2, Y greater than or equal to zero), (c) Are X and Y independent, Justify
QUESTION 3 In a certain region, the mean annual salary for plumbers is $51,000. Let x...
QUESTION 3 In a certain region, the mean annual salary for plumbers is $51,000. Let x be a random variable that represents a plumber's salary. Assume the standard deviation is $1300. If a random sample of 100 plumbers is selected, what is the probability that the sample mean is greater than $51,300? A. 0.32 B. 0.03 C. 0.41 D. 0.01
1. Find P{X = x} for x = 0, 1, 2, 3, 4, 5 for a...
1. Find P{X = x} for x = 0, 1, 2, 3, 4, 5 for a Bin(5, 3/7) random variable. 2. Find the first and third quartiles as well as the median for a Beta(3, 3) random variables. 3. Find P{X ≤ x} for x = 0, 1, 2, 3 for a χ 2 2 random variable. 4. Simulate 80 Pois(5) random variable. Find the mean and variance of these simulated values.
3) Four statistically independent random variables, X, Y, Z, W have means of 2, -1, 1,...
3) Four statistically independent random variables, X, Y, Z, W have means of 2, -1, 1, -2 respectively, variances of X and Z are 9 and 25 respectively, mean-square values of Y and W are 5 and 20 respectively. Define random variable V as: V = 2X - Y + 3Z - 2W, find the mean-square value of V (with minimum math).
Let X and Y be two independent random variables with μX =E(X)=2,σX =SD(X)=1,μY =2,σY =SD(Y)=3. Find...
Let X and Y be two independent random variables with μX =E(X)=2,σX =SD(X)=1,μY =2,σY =SD(Y)=3. Find the mean and variance of (i) 3X (ii) 6Y (iii) X − Y
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT