1. Use the Binomial Theorem to expand and simplify the expression (2x³ - 3/x)4.

Q: Write down definition of probability?

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: A dice and a coin are rolled together, find the probability of getting an even number with a head or…

A: Given that: A dice and a coin are rolled together. Total number of outcomes are = 12 The probability…

Q: compute every total probability.

A: We are given that CDF of X & Y are: FX,Y(x,y)=0x<-2 or y<-538-2≤x<2 and -5≤y<312x≥2…

Q: Describe about the subtraction rule of Probability.

A: Let A denote an event.

Q: Epidemiology are two fields

A: The third field can be Financial economics, where probability theory is widely used.

Q: Suppose a school band has 10 freshmen, 20 sophomores, 30 juniors, and 40 seniors. If 15 students are…

A: A school band contains 10 students from freshmen 20 students from sophomores30 students from…

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: Please provide 25 formulas in Probability and Statistics.

A: Please find the formulae below. Thank you for choosing Bartleby.

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Q4/B/ Three machines A, B and C produce respectively 19%, 2% and 3% of the total number of items of…

A: Consider the following events, A=selected item is produced by machine AB=selected item is produced…

Q: A soap manufacturer wanted to know that percentage of the citizens of Sri Lanka use his product. He…

A: In first survey of percentage of citizens of Shri Lankan who use his product. Thus, x1 = 60 and n1 =…

Q: What are the addition and multiplication rules of probability and when should they be used?

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:…

Q: 3. How many arrangements are there of the letters in the word CANADIAN?

A: Introduction: We need to find the number of possible arrangements of the letters in the word…

Q: Can you please explain how you use the binomial probability formula in statistics with examples?

A: The binomial distribution is the generalization of the Bernoulli distribution. The Bernoulli…

Q: In how many ways can 3 student, 4 teachers and 4 workers sit in a line if the teachers always set…

A:

Q: simultaneously switched on September 25, 2021. What is the probability that 5 are still lighted on…

A: here given , Nine lamps run on batteries whose average life is 2 months. With new batteries, they…

Q: A Latin DJ has an archive of thousands of songs in Spanish. 30% of the songs are Reggaetón, 35% are…

A:

Q: TRUE OR FALSE If the probability of you winning a chess game agains your friend is 40%, it means if…

A: According to the given information, we haveThe probability of winning a chess game against your…

Q: Explain two problems encountered when applying OLS to the linear probability model .How can these…

A: Two problems encountered when applying OLS to the linear probability model :

Q: The business world involves risk and uncertainty, explain the importance to businesses of…

A: The explanation about the role of probability in business analysis.

Q: An urn contains 35 red, 31 white and 40 blue marbles. A child selects two marbles at random and…

A: The urn contains 35 red, 31 white, and 40 blue marbles.Two marbles are selected at random and…

Q: What are the similarities and difference of how to find probabilities of independent events and…

A: Independent events: Independent events are events where the occurrence of one event does not affect…

Q: What is the probability that both numbers are odd if their sum is 7 ? What is the probability that…

A: Here sum=7 Sample space={(1+6),(6+1),(2+5),(5+2),(3+4),(4+3)} total 6 possibilities

Q: Hi, I need some help foor this question. Please do not copy with chatgpt. Please write clear I need…

A:

Q: A test consists of 84 true/false questions. To pass the test, a student can only miss 10 or fewer…

A: Given, A test consists of 84 true/false questions. To pass the test, a student can only miss 10 or…

Q: Druction' is out of (24+1) Wickets Consectively umbebeld, there are Аранж at the pandor. find the…

A: As per the Bartleby guidelines, i can answer only frist question. There are two questions in the two…

Q: Ramn can solve 80 per cent of the problems given in his statistics book. Mohanh can solve 70 per…

A:

Q: Suppose you flip eight fair coins   What is the probability of flipping less than three heads? What…

A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px (1 – p)n…

Q: Ira leap year is selected at random then what is the probability that it contains 53 rundays.

A: We Know that Every leap year has 53 of 2 days, the day of the week the year started and the next…

Q: What is the probability of choosing a club or a king?

A: Here in standard deck of cards total 52 cards 13 cards are of club 4 cards are king Define events  C…

Q: Find the probability that one of the dice shows 6 dots given that the sum of the dots is 8?

A: Introduction: The set of all possible outcomes of a probability experiment is called sample space of…

Q: Part 2: Find each of the probabilities when a state is chosen at random: A. P(A or B) В. Р(А) С.…

A: Part 2. P(A) = Probability that the state name begins with A through M          =…

Q: If Ned rolled a dot cube and it turned up as a six then he rolled it again what is the probability…

A:

Q: Suppose that in a human population of equal numbers of men and women, 4% of men are color blind and…

A: Sample Space,S : All  Human population.Events :A :Population are male.B : Population are female.C :…

Q: For an outdoor concert by the city orchestra, concert organizers estimate that 14,000 people will…

A: Given, The numbers of people will attend if it is not raining is 14000=a (say) .And the numbers of…

Q: C. Read Quarter 3_Module 9 involving s 1. You are to give a password of your Facebook account. It…

A: Total possible digits are 10 and 5 of them are even. It is assumed that repetition is allowed.

Q: Suppose you flip eight fair coins.   What is the probability of flipping exactly eight heads? What…

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows…

Q: 3. How many ways can 12 people line up in each scenario? a) There are 6 males and 6 females and they…

A: Arrangement of data can be calculated using principle counting methods. Some of the principle…

Q: A. "The Birthday Problem." In a random group of n people, what is the probability that at least one…

A: Given: random group of n people   Note: You have posted multiple questions therefore as per…

Q: 20. Referring to that information, if the firm wanted to test whether this proportion has changed…

A: It is given asn1 = 150,    p1^ = 66% = 0.66n2 = 160,    p2^ = 60% = 0.60Note: According to Bartleby…