Define 'Conditional Probability' with a suitable example.
Q: of not showing up increases, ABC Airlines may even consider sell more tickets to increase the profit…
A: Let us assume X is a random variable denoting the number of persons out of 12 tickets who purchased…
Q: A husband and wife are planning to have 3 children. What is their probability of having 3 girls…
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Q: From a bowl 11 balls are selected with replacement, the bowl contains 15 white balls and 16 red…
A: There are total (15+16)=31 balls.We can select any 11 balls from 31 balls in 31C11=84672315 ways.
Q: A candidate is selected for interview for 3 posts. For the first post there are 3 candidates, for…
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Q: A company that has 150 employees chooses a committee of 11 to represent employee retirement issues.…
A: a) Given that there are 150 employees. We have to select a group of 11 employees. Since it is a…
Q: Suppose we roll 5 fair dice. Let X be the random variable denoting the sum of the dice, and let Y be…
A: Suppose we roll 5 fair dice. Total outcomes=6^5=7776 Let X be the random variable denoting the sum…
Q: sees Before every flight, the pilot must verify that the total weight of the load is less than the…
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Q: Due to covid-19 the ministry of education decided to close the educational institutions. But in some…
A: Let X denote the number of institutions that remain open and it follows Poisson distribution with…
Q: Events A and B are consistent and their probabilities are not equal to zero. Which statement is…
A: Two events are said to be consistent if, P(A∩B) < P(A) and P(A∩B) < P(B) P(A∪B) > P(A) and…
Q: When we find conditional probabilities, do we need to check to see if they are mutually exclusive or…
A: Yes we need to check to see if they are mutually exclusive or if they are independent. If A and B…
Q: A box is divided into 9 equal sized compartments. A ball thrown in the box is equally likely to go…
A: i) In this case, a box is divided into 9 equal sized compartments.
Q: The hazard of exposure to radioactive chemicals is mitigated with 3 independent barriers. If on…
A: Given : n = 3000 p = 0.001
Q: Suppose A and B are two independent events. Prove A' and B are independent events. (Note: this is…
A: Given A and B are independent
Q: A student is taking an English course and a history course he decides to probability of passing…
A: Given: X: Event of passing history course Y: Event of passing english course P(X)=0.75 P(Y)=0.84 X…
Q: Mr Wong drives to work every morning. There are two routes for him to choose from. The probability…
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Q: number is randomly selected from the set {2, 3, 5, 6, 8, 9, 11, 12, 14, 15}. If the number chosen is…
A: We have to find given probability.
Q: During a game of Blackjack, four players are dealt two cards each, and the dealer has two cards. No…
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Q: Q5\a simple binary communication channel carries messages by using only two signals, say 0 and 1. We…
A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…
Q: Can I also use conditional probability in this problem to check whether the two events are…
A: We know if A and B are two events independent if and only if P(A | B) = P(A) Or P(B | A) = P(B)
Q: If you randomly select four peanut M&M’s, compute that probability that at least one of them is…
A: Based on the research, 12% of the given band's peanut chocolates are brown. Therefore, the…
Q: A woman has 10 pairs of shoes in disarray and on an untimely trip she chooses 12 shoes at random.…
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Q: A single die is rolled 4 times. Find the probabilities that the number of 6's that appear is as…
A: Obtain the probability that the number of 6's that appear as four. The probability that the number…
Q: probabilities
A: The generator chooses two numbers, where each number is to be selected from 0 to 9. So it can be…
Q: A producer wants to maximize its sale of special product which influenced directly weather…
A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…
Q: The probability that a painting job is finished in 2-8 days is 0.45, in 8-14 days is 0.75 and in…
A: We have to find given probability..
Q: Consider an investment scenario where you will be choosing a portfolio of three stocks from a…
A: Here in this question, it is given that there is a collection of five semiconductor stocks, four…
Q: Let A and B be two events with P (A) = 1/2 and P (B ^ c) = 1/4. The only thing we can say for sure…
A: # Given two events A and B such that p(A)=1/2 & p(B^c)=1/4 then for Select one: to. A and B…
Q: 2) From section 3, one student is selected at random the probability that he likes rice is 0.5, the…
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Q: (QUESTS) There are two boxes with marbles. Box 1 contains 5 black and 15 white marbles. Box 2…
A: There are two boxes Box1 B1 and Box2 B2 Box 1 contain total 20 marbles : 5 black and 15 white.Box 2…
Q: 1. GYThirteen cards are dealt on the table from a deck of standard playing cards. Compute the…
A: To compute the probabilities, we need to consider the total number of possible outcomes and the…
Q: A shipment consists of three identical boxes that contains the components. One box contains 1000…
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Q: A spinner is used for which it is equally probable that the pointer will land on any one of six…
A: There are 2 regions for green. Total number of regions = 3+2+1=6 So probability of getting green =…
Q: (iv) Find probability of 5- digit odd number code from 0, 2, 3, 5, 6, 7, 9. (v) Find probability of…
A: Note:i)To obtain a five-digit number, the first number can even be 0. Thus, there are 6 ways to get…
Q: In Hawaii, January is a favorite month for surfing since 66% of the days have a surf of at least 6…
A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…
Q: A golf ball is selected at random from a golf bag. If the golf bag contains two black balls, six…
A: 2 black 6 orange 14 red _____________ 22 total
Q: An item produced by a company is susceptible to two types of defects namely, A and B. The…
A: Union of Two Events: For any two events A and B, union of A and B, written as A∪B, is defined as the…
Q: An image has 8 levels of representation with probabilities 0, 0, 0, 0-15, 0-20, 0-30, 0-20, 0-15…
A: A histogram is a pictorial representation of a discrete probability distribution. It comprises a…
Define ‘Conditional
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- Suppose two end hosts, A and B, are connected by 10 links, each with packet loss probability p (0 < p < 1), and the loss probabilities for these links are independent. What is the probability that a packet sent form A is received successfully at the receiver B? Please type answer no write by hend.A golf ball is selected at random from a golf bag. If the golf bag contains eight type A balls, nine type B balls, and six type C balls, find the probability that the golf ball is not a type A ball The probability that the golf ball is not a type A ball is _The probability that a student graduating from a university has student loans to pay off is 0.60. The probability that a student graduating from this university has student loans to pay off and is a male is 0.24. Find the conditional probability that a randomly selected student from this university is a male given that this student has student loans to pay off after graduation.
- A rare type of HPV virus affects 1% of the population in a state. A new test is designed to detect the virus before an outward manifestation. If given to an infected person the test shows positive result 97% of the time. If given to an uninfected person the test shows positive (false) result 2% of the time. (Use a probability tree) If the test is given to a randomly chosen person in the population and gives a positive result, what is the probability that the person is actually infected?A message can follow different paths through servers on a network. The senders message can go to one of five servers for the first step, each of them can send to five servers at the second step, each of which can send to four servers at the third step, and then the message goes to the recipients server. (a) How many paths are possible? (b) If all paths are equally likely, what is the probability that a message passes through the first of four servers at the third step?A group of 200 UTAR students were asked whether they played soccer or basketball. Among the group, 140 said they played soccer, 30 said they played basketball and 20 said they played both soccer and basketball. (i) Calculate the probability that a student selected at random from the group plays soccer given that he plays basketball. Calculate the probability that a student selected at random from the group plays basketball given that he plays soccer. (ii) (iii) Calculate the probability that a student selected at random from the group plays soccer given that he plays one sport only.
- Find The Probability of a Poorly Constructed Bridge, if the construdion of the bridge can be badly effected by Eimer a "bad master Plan" "Low quality material" or by The probability of Choosing Low quality material" is 15% of a and that a "bad masts Plan" is 20%. The probability of bad master Plan giver, "Low quality material. was choosen is 40%.Assume that when adults with smartphones are randomly selected, is affected, 47% use them in meetings or class. If 15 adult smartphone users are randomly selected, find is selected, find the probability that exactly 11 of them user smartphones in meetings or classesLook at the 4 probability rules beow , an provide a REAL LIFE example for each. Also, with a Real LIfe EXAMPLE, explain how Disjoint events CAN be dependent. Rule 1. The probability P(A) of any event A satisfies 0 ≤ P(A) ≤ 1. Rule 2. If S is the sample space in a probability model, then P(S) = 1. Rule 3. Two events A and B are disjoint if they have no outcomes in common and so can never occur together. If A and B are disjoint, P(A or B) = P(A) + P(B) This is the addition rule for disjoint events. Rule 4. For any event A, P(A does not occur) = 1 − P(A)
- A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period Assume that a person is now living in the city, what is the probability that the person will move the the suburb after two year? Use a tree diagram to answer theEvery product manufactured by a company goes through 6 different tests before being shipped out. It is known that the probability that a product passes any single test is 0.9 and the tests are independent. Only those products that pass the first three tests and also pass at least one of the threeremaining tests are shipped out. Find the probability that a manufactured product is shipped out
