1. We perform an experiment where a person is selected at random let A be the event that an undergraduate student is chosen, and let B be the event that a graduate student is selected. Note that it is possible to have a person who is both undergraduate and graduate (the accelerated masters program) and its possible to have someone who is not either (such as your professors). What are the atoms for this experiment?

Q: Suppose that a pond contains 50 fish of which 30 are redfish. If we catch 10  with replacement,…

A: 30 of 50 fishes in the pond is redfish. So, probabiility of getting a redfish = 30/50 = 0.6. Hence…

Q: Urn 1 contains 5 white balls and 7 black balls. Urn 2 contains 3 white balls and 12. We toss a…

A: Given Information: Number of balls in Urn 1 = 12 Number of white balls in Urn 1 = 5 Number of black…

Q: A system consisting of five independent relays is considered closed if a current can pass from A to…

A: From the given information, thee are five independent relays. Let Ei be the event that the ith relay…

Q: ta) lf a marble is drawn from each urn, what is the probability that they are both of the same…

A:

Q: if the coin is silver , what is the probability that urn III was selected  answer is 2/3

A: Let us define some events A : Urn I is selected. B : Urn II is selected. C : Urn III is selected. E…

Q: A package of parts contains 10 parts from supplier I and 20 parts from a supplier II. If tour parts…

A: A package of parts contains 10 parts from supplier I and 20 parts from a supplier II. If four parts…

Q: If A and B are not mutually exclusive events and P(A) = 0.60 and P(B) = 0.80, then find P(AUB)

A: Given A and B are not mutually exclusive events And  P(A) = 0.60 and P(B) = 0.80

Q: Suppose that 80% of all customers who regularly purchased in this store choose an electronic…

A: Let  K be the event for Keyboard G be the event for guitar C be the event for cello

Q: Suppose that E, F, and G are events with P(E) E and G are independent, and P(F|G) 13 = 16 = 29 100 "…

A: Step 1:We will apply the inclusion and exclusion principle to findP(E∪F∪G), which for three events…

Q: 8. Two events, A and B, are such that P(A)=.45,P(B) = .65,Pl B)=.25, determine PBN

A:

Q: 4. Let A and B be two events such that P(AB)=0.4 , P(AUB)=0.45 and P(B)= 0.75 , where B is the…

A:

Q: A class consists of 25 students of which 10 are girls are 15 are boys; 4 girls and 6 boys were put…

A:

Q: 5. Urn 1 contains two white balls and one black ball, while urn 2 contains one white ball and five…

A:

Q: 4) A lot of 1000 components contains 200 that are defective. Two components are drawn at random and…

A: The question is about probability Given : Total no. of components in a lot = 1000 No. of defective…

Q: In a high school graduating class of 100 students, 55 studied mathematics, 63 studied computer…

A: The total number of students is 100. The number of students studied mathematics is 55. The number of…

Q: A class contains 100 students, and each student belongs to one lab section. There are 3 lab…

A:

Q: If A and B are two events such that P (A or B) =2/3 , P(A N BC )=1/3 and P(A/B)= 1/6. Find P(AC or…

A:

Q: If two events are independent with P(A) = 0.6 and P (B ) = 0.35 Is A and B are complementary events…

A: Given: P(A)=0.6 P(B)=0.35

Q: One of two Urns is picked at random (equally likely). Urn 1 has 3 black marbles and 7 red marbles.…

A:

Q: Given two events, A and B, with P(A) = 4 and P(B)- .35, find P(An B) if you also know that.. (a) A…

A: Two events are said to mutually exclusive when they cannot occur simultaneously where as they are…

Q: ) A human resources director for a large corporation claims that of the 97 employees on a typical…

A: P: probability that an employee is on time P= 90/97 = 0.9278 a) P(both arrive on time) = (0.9278)2 =…

Q: Question 1 Population of 60 years and over in Germany: i) 801. of the paplutation will be Vaccinated…

A: We have, P(A) = 0.80, P(B) = 0.20, P(A and B) = 0.16

Q: Let A and B be events with P(A)= and P(AUB) = find o P(A\B) ナ O P(AAB),a P(A\B°)

A:

Q: If A and B are two events such that P(A) = 0.5, P(B) = 0.7 and P(B/A) = 0.3 then P(A/B) = ? а. О.1…

A: Given data,P(A)=0.5P(B)=0.7P(B|A)=0.3P(A|B)=?

Q: Three students for my 15 student class will be selected to attend a meeting. Six of the students are…

A:

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Given: Box A Number of Black marbles = 7 Number of white marbles = 4 Box B Number of Black marbles =…

Q: A green marble is drawn. What is the probability that it came from Jar 2?

A: Let us define some events  A : Jar 1 is selected. B : Jar 2 is selected C : Jar 3 is selected. E :…

Q: Find the probability that a randomly chosen student received an A in general chemistry or calculus.

A: In a recent semester at a local university, 530 students enrolled in both General Chemistry and…

Q: Thanks to Gregor Mendel's famous experiments in the 1800s, we know that in a hybridization event…

A: An event is the outcome of an experiment. If an experiment is repeated n times with two outcomes…

Q: 3) In a class of 100 half the students are science majors and half are liberal art majors. A tudent…

A: Given In a class of 100 half the students are science majors and half are liberal art majors. A…

Q: what is the probability that at least one of the people in the group is positive for Hepatitis-C

A: Composite blood testing is sometimes used to save costs.  A Hepatitis-C composite blood test means…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.