4. Let X1 and X2 be random samples from a standard normal distribution, answer the following questionsa. What is the distribution of ?b. What is the distribution of (x, +X;)² ,(Xx=X,)²What is the distribution of -X,+X,:?C.V(xx-x2)²d. What is the distribution of if Z =?

Answered: Image /qna-images/answer/8567aa64-b77b-41fb-b36b-a818cb51722c.jpg

Answered: 4. Let X1 and X2 be random samples from…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

-5. The weight of a certains species of fish is normally distributed with mean of 4.25 Kg and standard deviation of 1.2 a) What proportion of fish are between 3.5 kg and 4 kg b) What is the probability that a fish caught will have a weight of at least 5kg? 31
3.- It has been found that the waiting time to obtain a table in a cafe during rush hour has a normal distribution with a mean of 130.7 min. and a standard deviation of 12.5 min. How long do people have to wait to be given a table with the following probability?a) P (X ≥ Xo) = 0.83.b) P (X ≥ Xo) = 0.12c) P (X ≤ Xo) = 0.92d) P (X ≤ Xo) = 0.07
2. What make the Chi square distribution a special case of the Gamma Distribution?
When asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final answers to 4 decimal places. a. What is the distribution of x? x N( b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No
45. Let X have a Standard Normal Distribution. Find a such that P(X < a) = 0.88877 А. 0.92 В. 1.02 С. 1.12 D. 1.22
The average amount of money spent for lunch per person in the college cafeteria is $7.11 and the standard deviation is $2.1. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of XX? XX~ N(,) What is the distribution of ¯xx¯? ¯xx¯~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.294 and $7.636. For the group of 42 patrons, find the probability that the average lunch cost is between $7.294 and $7.636. For part d), is the assumption that the distribution is normal necessary? Yes or No
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.9 days in recovery? e. What is the probability of spending between 2.4 and 3.3 days in recovery? f. The 85th percentile for recovery times is days. PLEASE ANSWERR ALLL QUESTIONS!! PLEASE STOP JUST ANSWERING 3 !!!
33. Let X have a Nonstandard Normal Distribution with u = 55 and o = 8. Find P(X < 59). C. 0.70146 A. 0.68146 B. 0.69146 D. 0.71146
47. Let X have a Nonstandard Normal Distribution with µ = 55 and o = 8. Find P(X < 59). A. 0.68146 В. 0.69146 С. 0.70146 D. 0.71146
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( , )b. What is the median recovery time? daysc. What is the Z-score for a patient that took 5.2 days to recover?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

4. Let X1 and X2 be random samples from a standard normal distribution, answer the following questions a. What is the distribution of -? b. What is the distribution of (x, +X;)? :? z(*x-*x) .? X,+X, c. What is the distribution of- z(*x-'x)^ d. What is the distribution of if Z ?

4. Let X1 and X2 be random samples from a standard normal distribution, answer the following questions a. What is the distribution of -? b. What is the distribution of (x, +X;)? :? z(x-x) .? X,+X, c. What is the distribution of- z(*x-'x)^ d. What is the distribution of if Z ?