Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 14% of all ticks in a certain location carry Lyme disease, 6% carry HGE, and 6% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 14% of all ticks in a certain location carry Lyme disease, 6% carry HGE, and 6% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)

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

To avoid being stuck with a shipment of defective HDTV sets, a large retailer tests a random sample of three televisions for defects before purchasing the entire shipment. If any of the three HDTV sets are defective, the entire shipment is rejected. If a manufacturer of HDTV sets has a 1.2% defect rate, what is the probability that a shipment of its HDTV sets will be rejected by this retailer?
A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
Suppose a doctor is conducting a clinical trial to test the effectiveness of a new drug for treating a certain disease. The doctor randomly assigns 200 patients to two groups: a treatment group that receives the new drug, and a control group that receives a placebo. If 30% of the patients in the treatment group experience a full recovery from the disease, and 20% of the patients in the control group experience a full recovery, what is the probability that the new drug is truly effective, given these results?
Electrical engineers recognize that high neutral current in computer power systems is a potential problem. A survey of computer power system load currents at U.S. sites found that 10% of the sites had high neutral to full-load current ratios (IEEE Transactions on Industry Applications). If a random sample of five computer power systems is selected from a large number of sites in the country, what is the probability that exactly three will have a high neutral to full-current load ratio?
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 51 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure?
Deer ticks can carry both Lyme disease and human granulocytic ehrlichiosis (HGE). In a study of ticks in the Midwest, it was found that 15 % carried Lyme disease, while 11 % carried HGE. In addition, of the ticks with either Lyme disease or HGE, 16 % carried both diseases. (a) What is the probability P[L H] that a tick carrries both Lyme disease (L) and HGE (H)? P[LH] = (b) What is the conditional probability that a tick carries HGE, given that it has Lyme disease? P[H|L] =
There are 12 signs of the zodiac.Assuming that a person is just as likely to be born under one sign as in another, what is the probability that in a group of 5 people at least 2 of them were born under the sign of aries. Explain how to choose the favourable cases here.
The vast majority of European vehicles sold in the world (BMW, Audi, Mercedes- Benz, etc...) receive their transmissions from either ZF Friedrichshafen AG or Continental AG. After the acquisition of TRW by ZF, ZF AG supplied 69% of transmissions, and Continental AG supplied 31%. If three European cars are randomly selected, what is the probability that 2 of the cars use ZF transmissions and 1 use Continental AG transmission? Enter your answer in percent terms (for example 12.5% must be entered as 12.5).
According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other. The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year is
A particular automatic sprinkler system has two different types of activation devices for each sprinkler head. One type has a reliability of 0.75; that is, the probability that it will activate the sprinkler when it should is 0.75. The other type, which operates independently of the first type, has a reliability of 0.85. If either device is triggered, the sprinkler will activate. Suppose a fire starts near a sprinkler head. (provide your answer in four decimal numbers) (i) What is the probability that the sprinkler head will be activated? (1.5) (ii) What is the probability that the sprinkler head will not be activated? (1.5) (iii) What is the probability that both activation devices will work properly? (1.5) (iv) What is the probability that only the device with reliability 0.75 will work properly? (1.5)
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 47 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 6000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)