Let A and B be events such that P (A) = 4/10 and that P (A U B) = 7/10 Find the probability of B assuming that P (A / B) = 1/2
Q: (a) Find the probability that he strikes out for the first time in his 5th plate appearance. (b)…
A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…
Q: Suppose that A, B are two events such that P(A) = 0.7, P (B) = 0.55 and P (A / B) = 0.6 Find P (A…
A:
Q: On any given day, 34% of sales at Ruby’s jewelry store are from necklaces, while 28% of sales at…
A: Given Proportion Sample size Ruby’s jewelry store 34% 50 Nugget Jewels 28% 60
Q: The probability that a contractor will get a sanitation contract is 2/3 and the probability that he…
A: GivenThe probability that a contractor will get a sanitation contract = 23The probability that a…
Q: Suppose that E and F are two events and that N(E and F) = 470 and N(E) = 570. What is P(F|E)? .....…
A:
Q: The probabilities are 0.40, 0.50, and 0.10 that, in citydriving, a certain kind of compact car will…
A: Here, p1 = 0.40, p2= 0.50, and p3= 0.10. For the study, 10 cars are selected. Thus, n= 10.
Q: Q: A bag contains 12 balls out of which x are white. (i) If one ball is drawn at random, what is the…
A: i): Total balls in bag=12 White balls=x P(drawing a white ball)=x12
Q: The probability that A will live upto 60 years is and probability that B will live up 4 to 60 years…
A:
Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…
A: Let R be the event that a ball drawn is red, B for blue G for green
Q: A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 75%…
A: Answer:- Given, A building contractor buys 70% of his cement from supplier A and 30% from supplier…
Q: Suppose that events E and F are independent, P(E)=0.4, and P(F)=0.6. What is the P(E and F)?…
A: Given that, Events E and F are independent, and P(E) = 0.4 P(F) = 0.6
Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…
A:
Q: Suppose that the probability an archer will hit a target is 0.35 and that each shot is independent.…
A: The result of the archer's shot is independent. The probability that an archer will hit a target =…
Q: Suppose that E and F are two events and that N(E and F) = 440 and N(E) = 550. What is P(FIE)? %3D…
A:
Q: If 3 of the electric bulbs manufactured by a company were found to be defective in an hour, find the…
A: Given: 3 of the electric bulbs manufactured by a company were found to be defective in an hour we…
Q: Suppose that the number of guests per month that members of a country club bring to golf is given by…
A: According to question, Number of guests (x) Probability 0 0.56 1 0.18 2 0.13 3 0.13…
Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…
A: Given Data: P(V)=0.12 P(W)=0.63 P( V and W)=0.04
Q: Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your…
A: given data p = 0.03 n = 2000 P(x>100) = ?
Q: 36. Let p be the probability that a man aged x years dies in a year. Find the probability that out…
A:
Q: Let A, B and C be three independent events such that P(A)= P(B)= 0.3 and P(C)=0.5. Find the…
A:
Q: Let Event A be that the component fails a particular test and Event B be that the component strains…
A: From the provided information, A = The event that the component fails a particular test. B = The…
Q: The probability that Ana will plant tomatoes is 3/4, that they will grow if planted is 3/5, and that…
A: P( plant tomato) = 34 P(grow|planted) = 35 P(produce bountifully|growed) = 89 P( all three things…
Q: Suppose every bag of skittles has the following probability distributio P(green)=16%…
A: P(green)=16% P(Orange)=19% P(Purple)= 18% P(Red)=23% P(Yellow)=24%
Q: Q4). The probability that a patient will recover from a rare blood disease s (0.4) if (15) people…
A: It is given that the probability of recovering from a rare blood disease is 0.4. The random variable…
Q: We have found that A n B = {E₂}. There are five equally likely simple events, E₁, E₂, E5, so each…
A: There are five equally likely simple events, so each event has probability .
Q: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).
A: Given data,P(A)=27P(A & B)=325P(B|A)=?
Q: 10, 2 imeleb () What is the probability that the bonus scheme will be introduced ? (i) If the Bonus…
A: Let us define some events A : X becomes manager. B : Y becomes manager. C : Z becomes manager. E :…
Q: Refer to the table which summarizes the results of testing for a certain disease. Positive Test…
A: Given data; Positive Test Result Negative Test Result Total Subject has the disease 87 9 96…
Q: A company has estimated that the probabilities of success for 3 products introduced in the market…
A: Given 3 products introduced in the market are 1/5, 1/3, and 1/2
Q: Let P(A)=0.4, P(B)=0.3, if A and B are mutually exclusive，what is the probability that exactly one…
A:
Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…
A:
Q: Let A and B are two events. P( A' and B') = 0.35 Find P( A Or B)
A: Answer: From the given data, A and B are two events, P(A' and B') = 0.35
Q: Find the probability that a 2 is obtained on one of the dice in a throw of two dice, given that the…
A:
Q: Suppose
A: Given that the probability of male birth is 0.55 then the probability of female birth is 1-0.55 =…
Q: Q1: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are…
A: To find the probability that both fuses are defective.
Let A and B be
Find the probability of B assuming that P (A / B) = 1/2
Step by step
Solved in 2 steps with 2 images
- In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers. (Let S be adult American smokers at the time of the study and let L be death due to lung cancer.)State this result as a probability: = The same study claimed that 62.2% of adult Americans smoked.State this result as a probability: = The same study claimed that 1% of adult Americans would die of lung cancer.State this result as a probability: = Find the probability that adult American smokers in the 1950s would die of lung cancer: = Find the probability that adult American nonsmokers in the 1950s would die of lung cancer: = A smoker is times more likely to die of lung cancer than a non-smoker.Does this show that smoking causes lung cancer?The manager of a movie theater determines that the average time movie goers wait in line to buy a ticket for this week's film is 10 minutes and the average time they wait to buy popcorn is 5 minutes. Assuming that the waiting times are independent, find the probability that a moviegoer waits a total of less than 20 minutes before taking his or her seatOn any particular Friday evening, the probability that Jason will go to the mall and go for a coffee is 1/3. The probability that he will go for a coffee, given that he has gone to the mall, is 4/7. The probability that he will go to the mall on any particular friday evening is
- I roll a fair die twice and obtain two numbers X1 = result of the first roll, and X2 = result of the second roll. Find the probability of the following events: a. A defined as "X1 < X2"; b. B defined as "You observe a 6 at least once".Suppose a flu test has the following results: If a person is healthy, it returns negative 90% of the timeIf a person is healthy, it returns positive 10% of the timeIf a person is sick, it returns negative 1% of the timeIf a person is sick, it returns positive 99% of the time Suppose 4% of people actually have the flu. If a person tests positive for flu, what’s the probability they are actually sick?27. If P (A) = 0.5, P (B) = 0.3, P (AB) = 0.2, obtain the probability that (i) A occurs but not B (ii) At least one of A and B occurs (iii) Neither of A and B occurs.
- All seasons plumbing has two truck services that frequently need repair. If the probability of one truck is available is .80, the probability of the second truck is available is 0.54, and the probability that both trucks are available at 0.57. What is th probability that neither truck is available?A company has estimated that the probabilities of success for 3 products introduced in the market are 1/4, 2/3, and 1/2, respectively. Assuming independence, find the probability that exactly 1 product is successful. (Enter your probability as a fraction.)Assume that events X, Y, Z are mutually exclusive (pairwise) and P(X) = 0.132 P(Y) = 0.1618 P(Z) = 0.0784 then what is P(X ∪ Y ∪ Z) = the probability of X or Y or Z? Give four digits past the decimal point.
- Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4, independent of the outcome of any other shot. In a round of golf, the probability that Leo's first bad shot is his fifth shot is Select one: O (0.4) (0.6)' O (0.4)5 O (0.6)* (0.4)' O (0.6) (0.4)'If event X is impossible, what is the P(X), i.e. the probability of X occurring?The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
