15.Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable Wrepresent the number of worms found in 1 square foot of soil, and let the random variable G represent the number of grubsfound in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for W andG.WProbabilityG00.05B) = 5 and o= 2.360= 5.28 and = 1.67(D) μ = 5.28 and a = 2.361E μ = 5.28 and = 2.790.0620.181324Probability0.050.210.270.380.050.030.01Assume that the distributions of worms and grubs are independent. What are the mean, #, and standard deviation, σ, for thetotal number of worms and grubs in I square foot of soil?A = 5 and o=1.670.3540.30350.05650.016

Let the random variable W represent the the number of worms found in 1 squaree foot of soil. Let…

Answered: 15. Biologists are analyzing soil to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

1. Identify if the following scenarios describe a discrete or continuous random variable. Explain your choice. (a) X = The number of persons in an emergency room 181screte (b) W = The weights of delivery trucks at a supermarket. Lconinaas (c) H= The areas of houses being built in a new subdivision. 2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. L X the number of free throws Faith makes out of 20 shots. (a) Explain why X is a binomial random variable. (b) Calculate the mean of X. (c) Calculate the standard deviation of X. (d) Use the binomial probability formula to find P(X = 19). Interpret this value in context. (e) Her coach says that he will let the team out of practice early if Faith makes 18 or me free throws. What is the probability that practice ends early? Show your work. 2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e
1. Distinguish Discrete Random Variable from Continuous Random Variable. 2. Distinguish Continuous Probability Distribution from Discrete Probability Distribution.
A continuous random variable is normally distributed. The probability that a value in the distribution is greater than 47 is 0.3085. Find the probability that a value in the distribution is less than 47.
Draw a probability curve with your answer
A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.
If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 57 seeds are planted. What is the distribution of X? Please show the following answers to 4 decimal places. What is the probability that exactly 24 seeds grow into healthy plants? What is the probability that at most 24 seeds grow into healthy plants?
Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Suppose that the probability that a patient admitted in a hospital is diagnosedwith a certain type of cancer is 0.03. Suppose that on a given day 10 patients areadmitted and X denotes the number of patients diagnosed with this type of cancer.Determine the probability distribution of the random variable X. Find the meanand the variance of X
action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4
A continuous random variable is normally distributed. The probability that a value in the distribution is less than 135 is 0.3454. Find the probability that a value in the distribution is greater than 135

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS