Help with question X VIII. Susan is taking Western Civilization this semester on a pass/fail basis. The departmentteaching the course has a history of passing 67% of the students in Western Civilizationeach term. Let n = 1, 2, 3, ... represent the number of times a student takes WesternCivilization until the first passing grade is received. (Assume the trials are independent.)(a) Write out a formula for the probability distribution of the random variable n.(b) What is the probability that Susan passes on the first try (n = 1)? (Round youranswer to two decimal places.(c) What is the probability that Susan first passes on the second try (n = 2)? (Roundyour answer to three decimal places.)(d) What is the probability that Susan needs three or more tries to pass WesternCivilization? (Round your answer to three decimal places.)IX. There are three nursing positions to be filled at Lilly Hospital. Position 1 is the daynursing supervisor; position 2 is the night nursing supervisor; and position 3 is the nursingcoordinator position. There are 11 candidates qualified for ail three of the positions.Determine the number of different ways the positions can be filled by these applicants.X. Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.3, do the following.(a) Compute P(A and B).(b) Compute P(A or B).

Here use basic probability rule

Answered: X. Given P(A) = 0.2, P(B) = 0.7, P(A |…

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.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 78E: Alcohol Abstinence The Harvard School of Public Health completed a study on alcohol consumption on...

See similar textbooks

Similar questions

Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible hours----even when it meant slower career advancement----so they could spend more time with their families. The figure shows the results of the survey. What is the probability that three people chosen at random would prefer flexible work hours?
Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004. The packaging department has eight workers. What is the probability that two or more ackaging workers Will call in sick next Monday ?
Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

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

Publisher:

Pearson Addison Wesley,

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

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

Publisher:

Pearson Addison Wesley,

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

X. Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.3, do the following. %3D %3D %3D (a) Compute P(A and B). (b) Compute P(A or B).