b.) Construct a probability distribution for X. (round to three decimal places)P(X)c.) Which of the following is true?O P(X=1) = P(X=2)O P(X=0)=P(X=2)O neither statement is true Suppose two green crayons, one blue crayon, and one red crayon are in a box. Two crayons are randomly selected one at atime without replacement. Let X be the number of red ("R") crayons selected.a.) Which of the following represents the sample space for this scenario?O GG, GB, GR, BG, BB, BR, RG, RB, RRO GG, GB, GR, BG, BR, RG, RBO GB, GR, BG, BR, RG, RBO GBR, GRB, RGB, RBG, BGR, BRGb.) Construct a probability distribution for X. (round to three decimal places)P(X)

Solution: Given information: Two green crayons. One blue crayons and One red crayons. Total…

Answered: Suppose two green crayons, one blue…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 27E

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Similar questions

On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?
Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.
Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious problem in hemlock trees. Researchers have developed the following function that estimates the probability P that a given hemlock tree has ring shake: P(A,B,D)=11+e3.680.016A0.77B0.12D where A is the age of the tree yr, B is 1 if bird pecking is present and 0 otherwise, and D is the diameter in. of the tree at breast height. Source: Forest Products Journal. a. Estimate the probability that a 150-year-old tree with bird pecking present and a breast height diameter of 20in., will have ring shake. b. Estimate the probability that a 150-year-old tree, with no presence of bird pecking and a breast height diameter of 20in., will have ring shake. c. Develop a statement about what can be said about the influence have on the probability of ring shake. d. Using the total differential, estimate the probability if the actual age of the tree was 160 years and the diameter at breast height was 25in., Assume that no bird pecking was present. Compare your answer to the actual value. Hint: Assume that B=0 and exclude that variable from your calculations e. Comment on the practicality of using differentials in part d.
The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.
Shoulder InjuriesAmong a large group of patients recovering from shoulder injuries, it is found that 22 visit both a physical therapist and a chiropractor, whereas 12 visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 the probability that a patient visits a physical therapist. Determine the probability that a randomly chosen member of this group visits a physical therapist. Choose one of the following. Hint: Use the union rule for probability, and let x=P(patientvisitsaphyiscaltherapist). Source: Society of Actuaries. a. 0.26 b. 0.38 c. 0.40 d. 0.48 e. 0.62
The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the conditional probability of the event E. “getting a six,” given that the event F, “getting an even number.” has occurred is P(EF)= ____________.

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