4. In a certain organisation, 40% of the employees are vaccinated against covid-19, 25% of theemployees are female and 10% of the female employees are vaccinated against covid-19.4.1. If an employee is selected at random, what is the probability thata) the employee is male and did not get the vaccine?b) the employee is not vaccinated given that the employee is female?4.2. Are events vaccinated and female independent?

Given: Let F denote female M denote male V denote vaccinated V' denote not vaccinated P (F) = 0.25 P…

Answered: 4. In a certain organisation, 40% of…

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. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?
If A and B are two mutually exclusive events with P(A)= 0.5 and P(B)=0.4, find the following probabilities: a) P(A \textrm{ and } B) = 0.5 b) P(A \textrm{ or } B) = c) P( \textrm{not }A ) = d) P( \textrm{not }B ) = 0.4 e) P( \textrm{not }(A \textrm{ or } B)) = 0.4 f) P( A \textrm{ and } (\textrm{not }B) ) =
8. Final: In clinical trials a Kuwaiti drug has 35% success rate of curing a Covid-19 disease. If 10 people are known to have the disease. What is the probability that at most 4 are cured? O a. 4216 O b.6593 O c. .0005 O d. Not available O e.1123 Previous page
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?
One student is selected at random from a group of 200 known to consist of 140 full-time (80 female and 60 male) student and 60 part-time (40 female and 20 male) students. Event A is "the student selected is full-time" and event C is "the student selected is female". (a) Are events A and C independent? (b) Find the probability of one student selected is full-time, that should be female.
A study considered risk factors for HIV infection among intravenous drug users [11]. It found that 40% of users who had ≤ 100 injections per month (light users) and 55% of users who had > 100 injections per month (heavy users) were HIV positive. A. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3 of the 20 users are HIV positive? B. What is the probability that at least 4 of the 20 users are HIV positive? Please show me the calculations by hand and not excel, I am trying to learn how to plug in these formulas myself and to solve without computer assistance. TY!
A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?
1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus
12. If 2% of a certain brand of light bulbs are defective, find the probability that, in a random sample of 80 bulbs, a total of 0, 1, 2, 3, and more than 5 will be defective.
The health of two independent groups of 10 persons each is being studied for 6 months. The probability anyone individual in either group drops out before the end of the 6 months is 0.2 (independent of the otherparticipants). What is the probability at least 9 persons finish the study in either one of the two groups butnot in both groups?
5. Two processes A and B, were used to produce stainless steel shafts in an industrial company. Process A and Process B produce 9% and 12% nonconforming stainless steel shafts, respectively. a. A random sample of 100 stainless steel shafts were taken from Process A. What is the UTM probability that more than 95% of the stainless steel shafts are conforming? b. A random sample of 90 stainless steel shafts from Process A and 80 stainless steel shafts UTM UT UTM 8U from Process B were taken randomly. Find the probability that the difference between proportion of the nonconforming stainless steel shafts from Process A and Process B UTM UTM is at most 0.1. O UTM UT UTM 6 UTM U O UTM UT

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