P(Ai)?P(S|A)?P(Ai ∩ S)?P(Ai | S)?New Probability for findind the oil? (b) After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows.P(soil | high-quality oil) = 0.20P(soil | medium-quality oil) = 0.80P(soil | no oil) = 0.20 An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.P(high-quality oil) = 0.650.20P(no oil) = 0.15P(medium-quality oil)

Answered: An oil company purchased an option on…

An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.65 P(medium-quality oil) = 0.20 P(no oil) 0.15

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

Related questions

Q: A person tossing 4 dice. (a)What is the probability that all dice come up different values? (b)What…

A: GivenThe total number of possibilities on tossing a dice =6 {1, 2, 3, 4, 5, 6}Total number of dice…

Q: PAEN of students, 65% are taking an English dass and 18% are taking a Chemistry class. Among the…

A: It is given that: The percentage of students taking English is 65%. The percentage of students…

Q: Let events A and B be independent events. Let P(A) and P(B) be the probabilities that events A and B…

A: According to the given information, we have Given that A and B are two independent events. P(A) and…

Q: I need help with this please

A: The objective of this question is to find the conditional probabilities of needing a new oil filter…

Q: 1) A student takes Mathematics and English tests. His independent chances of 3 2 and respectively.…

A: The provided information is as follows:A student takes Mathematics and English tests.The events are…

Q: Don't use chat gpt plz Don't copy paste

A: The objective of this question is to find the probability of a defective item getting through two…

Q: If there are four students tried to solve a problem. The probabilities 2 4 that four students to…

A: Random Variable: In probability theory, a random variable is a variable whose values depend on…

Q: Two events A and B are having the probabilities P(A)= 0.32, P(B) = 0.5, P(A or B) = 0.61 What is the…

A: Answer: From the given data, A and B are two events with probabilities P(A) = 0.32 P(B) = 0.5 P(A or…

Q: Focus on the ‘Big Wheel’ problem from the Price is Right. With knowing how to calculate whether or…

A: Given the ‘Big Wheel’ problem probabilities to calculate whether or not the final contestant will…

Q: Events A and B are independent. Suppose event A occurs with probability 0.94 and event B occurs with…

A: We are given here that:P(A) = 0.94, and P(B) = 0.45 Since we are given that A and B are independent…

Q: Random sample of twenty students is selected, 15% of the students are female. what is the…

A: Solution: Let X be the number of female students. From the given information, n=20 and p=0.15. Here,…

Q: (d) What is the probability that a person does not watch the British Open?

A: Let's define the events first. M : The event that watch the Masters. B : The event that watch the…

Q: Two events (A) and (B) are : independent if P(A U B) = P(A)P(B) O P(An B) = P(A)+P(B) O P(A U B) =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Allan has a 36% chance of making his high school hockey team and a 78% chance of passing his math…

A: Let H=Allan making his high school hockey team. M= Allan passing his math exam. P(H)=0.36 P(M)=0.78…

Q: difference between

A: Type I error A Type I error means rejecting the null hypothesis when it’s actually true. It means…

Q: Suppose the probability of snow tomorrow is 0.1 while the probability of IU winning the basketball…

A: P(A and B) = P(both event A occurs and event B occurs) If A and B are two INDEPENDENT events, then…

Q: From a city population, the probability of selecting (i) a male or a smoker is 9/10, (ii) a male…

Q: A bag of 32 tulip bulbs contains 10 red tulip bulbs, 12 yellow tulip bulbs, and 10 purple tulip…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: vwhat is the probability that a randomly selected person is a young adult that is running? vwhat is…

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: Standardized Testing 4. A bag contains 7 green marbles and 3 yellow marbles. If three marbles are…

A: A bag contains 7 green marbles and 3 yellow marbles.

Q: The probability that an automobile being filled with gasoline also needs an oil change is 0.30; the…

A: P(An oil changed ) = P( O ) = 0.30P( oil filtered ) = P( F ) = 0.45P( both oil and filtere needs…

Q: It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of…

Q: Q - 4 When two dice are rolled, what is the probability of getting sum of two faces is 10 ?

Q: What is the probability x is less than 6.5?

Q: fair coin is tossed 5 times. Find the probabilities of obtaining various numbers of heads. i. P(X=0)…

Q: If you viewed Attend as a Child as the Independent Variable, conditional probabilities should be…

A: if we view "Attend as a child" as the independent variable, conditional probabilities should be…

Q: Suppose A and B are mutually exclusive events with P(A) - 0.25 and P(B) = 0.25. Find the following…

A: For Mutually exclusive events, P(A U B) = P(A) + P(B) =0.25 + 0.25 =0.5…

Q: Let X and Y be events. Suppose we have the following probabilities: P(Y|X) = 0.54 and P(XnY)= 0.12.…

A: In given question, concept of conditional probability is applied. Conditional Probability The…

Q: 80% probability of planes taking off just on time, landing on time to the destination the…

A: It is an important part of statistics. It is widely used.

Q: Two fair six-sided. diamond are rolled. What is the probabilities that the some of the two side is…

Q: What is the probability of event (A) will be less than #4? What is the probability of event (B) to…

A: Here we are given a game of coin tossing. In this game if the first flip is A then we will roll the…

Q: How do I find the probability that the person has hypertension P(HlR)? P(F) = 0.90, P(H) = 0.10,…

A: It is given that P(F) = 0.90, P(H) = 0.10, P(R/H) = 0.95, P(R/F) = 0.08

Q: Three researchers R1, R2 and R3 are working on a research project in university of Auckland. The…

A: If there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment and…

Q: what is the probability of landing in a circle on the ground between 2 and 4 times including 2 and…

A: Here given suppose there is a game where you throw a marble and, if it lands in a circle on the…

Q: Two part homework question: Suppose that P(A)=.4, P(B)=.5 and the probability that either A or B…

A: The conditional probability of any two events A and B is given as follows:

Q: You have a deck of 52 cards. (Round to 4 decimal places.) (a) Find the probability that when you…

A: It is known that, Number of cards in a deck = 52 Number of aces in a deck = 4 Number of 3s = 4…

Q: Statistics from driver’s tests in a state show that 75% of test-takers pass the test the first time,…

A: Giving that: Probability of passing the test in first time =0.75 Probability of passing the test in…

Q: Life insurance salesman meets his prospective customers separately. At each meeting, he makes the…

A: Frequency distribution is classified as observed frequency distribution and theoretical frequency…

Q: when Ali plays his game,he win wit probability 0.60, the games an independen the probability that…

A: Answer: 35(0.6)^4(0.4)^4

Q: Could you help me understand this one? "There is an average of four accidents per month at an…

A: (a) The probability that there are 3 or more accidents in the next month is, Thus, the probability…

Q: he probability that an automobile being filled with gasoline als eeds a new oil filter is 0.45; and…

A: P(An oil changed ) = P( C ) = 0.30P( oil filtered ) = P( F ) = 0.45P( both oil and filtere needs…

Question

100%

P(Ai)?

P(S|A)?

P(A_i ∩ S)?

P(A_i | S)?

New Probability for findind the oil?

(b) After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows.
P(soil | high-quality oil) = 0.20
P(soil | medium-quality oil) = 0.80
P(soil | no oil) = 0.20

An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil) = 0.65
0.20
P(no oil) = 0.15
P(medium-quality oil)

Video Video

Expert Solution

Step 1

Given that

$P (h i g h - q u a l i t y o i l) = 0.65 P (m e d i u m - q u a l i t y o i l) = 0.20 P (n o o i l) = 0.15$

The conditional probabilities is displayed below.

$P (s o i l | h i g h - q u a l i t y o i l) = 0.20 P (s o i l | m e d i u m - q u a l i t y o i l) = 0.80 P (s o i l | n o o i l) = 0.20$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

When randomly selecting an adult, A denotes the event of selecting someone with blue eyes. What do P(A) and P (A) represent? P(A) represents the P(A) represents the probability of selecting an adult who does not have blue eyes. event of selecting an adult who does not have blue eyes. probability of selecting an adult with blue eyes. event of selecting an adult with blue eyes. →
PRACTICAL-RESEARCH-1-Weeks x PO PRACTICAL-RESEARCH-1-Weeks E Statistics-and-Probability-Q3-M1 x Basic-Calculus-Q3-M1.pdf O File | C:/Users/ABU/Desktop/m1%20q3/Basic-Calculus-Q3-M1.pdf W Compare The Chem.. S Ang Wikang Pamba. S Filipino | PDF 8 SHS Katitikan NG P.. * Halimbawa ng Ady. S Halimbawa NG Me.. КАBANATA 4.dосх .. Activity A. Evaluate the following limits. Illustrate the table of values. 1. lim(2x + 1) x-2 2. lim(2x – 3) X-2 3. lim(2x – 6) x-4 4. lim (x – 2) x--3 5. lim(x – 2) x-7 O Type here to search O 22°C Rain
(Use Baye's Theorem) The probability that a vehicle entering the Luray Caverns has Canadian license plates is 0.19; the probability that it is a camper is 0.38; and the probability that it is a camper with Canadian license plates is 0.13. What is the probability that (a) a camper entering the Luray Caverns has Canadian license plates? (b) a vehicle with Canadian license plates entering the Luray Caverns is not a camper? (c) a vehicle entering the Luray Caverns does not have Canadian plates or is not a camper? Round off your final answer to five decimal places.
??
Identify why this assignment of probabilities cannot be legitimate: P(A) = 0.4, P(B) = 0.3, and P(A and B)=0.5 (A) A and B are not given as disjoint events (B) A and B are given as independent events (C) P(A and B) cannot be greater than either P(A) or P(B) (D) The assignment is legitimate
Addition of Rule of Probabilities P(A Or B) = P(A) +P(B) – P(A and B) for mutually exclusive events the last part P(A and B) is zero, why?
how to identify conditional probability
For each answered question explain your answers i.e. show your reasoning. Q 5(c) Suppose you conduct a series of experiments, each of which consists of tossing a fair coin five (5) times. Let X be the number of heads. (i) What are the probabilities for each value of X? What is the P(the first toss is heads | X=0)? (ii) What is the P(X < 3)? (ii) (iv) What is the P(X=3| given the first toss is tails?)
Two events A and B are having the probabilities P(A)= 0.32 , P(B) = 0.25, P(A or B) = 0.87 What is the probability of P(A and B)