- Study guides, Class notes & Summaries

1a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 + kx)⁷ where k is a constant - correct answer binomial expansion worked examples 1 1b) given that the coefficient of x² is 6 times the coefficient of x, find the value of k, where k is a non-zero constant. - correct answer binomial expansion worked examples 1 2a) find the first 4 terms, in ascending powers of x, of the binomial e...

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2 pages

Written in 2024/2025

Grade A+

RealGrades

Which of the following is not a property of a Binomial Experiment? - correct answer The probability of success may change from trial to trial. Which of the following is a property of a Binomial Experiment? - correct answer There must be a fixed number of trials Determine if the following is a binomial experiment. Surveying 100 people to determine if they like bacon. - correct answer ...

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3 pages

Written in 2024/2025

Grade A+

RealGrades

Which of the following indicates the value of (8 over 2) (.3)^2(.7)^6? - correct answer binomPDF(8,0.3,2) You take a 100-question multiple-choice test. Each question has five choices, and you guess at each question. Which of the following calculator commands would give you the probability of getting at least 30 questions correct? - correct answer 1 - binomcdf(100,0.2,29) Which of the following are not essential chara...

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2 pages

Written in 2024/2025

Grade A+

RealGrades

What is the Binomial Theorem? - correct answer A formula for finding any power of a binomial without multiplying at length. n! - correct answer n! = 1 ‧ 2 ‧ 3... (n-2)‧(n-1)n ex: 4! = (4-2)‧(4-1)4 = 2‧3‧4 =24 How do you find the next row in the Pascal's Triangle? - correct answer Addition. Each number is the number directly about it added together. What is the ...

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3 pages

Written in 2024/2025

Grade A+

RealGrades

Pascal's Triangle - correct answer The binomial expansion uses Pascal's triangle for the corresponding coefficient for each row that corresponds to the number that the expansion term is raised to. Binomial Theorem - correct answer (a+b)ⁿ = aⁿ + nC₁ aⁿ⁻¹b +...+ nCr a∧(n-r)b^r +...+ bⁿ Binomial Expansion - correct answer (a+b)⁰= 1 (a+b)¹= 1a+1b (a+b)²=1a²...

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2 pages

Written in 2024/2025

Grade A+

RealGrades

If five students take Exam 1 and score 81, 85, 89, 93, and 97, what is the variance on Exam 1? - correct answer Determine that the average score is 89 Determine that the differences between each score and the mean are -8, -4, 0, 4, 8 Square all of the differences to get 64, 16, 0, 16, 64 Take the average of the squared differences to get 32 Answer: 32 If five students take Exam 2 and score 83, 83, 84, 94, 96, what is the standard deviation of Exam 2? ...

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7 pages

Written in 2024/2025

Grade A+

RealGrades

According to a CBS/New York Times poll taken in 1992, 15% of the public have responded to a telephone call-in poll. In a random group of five people, what is the probability that exactly two have responded to a call-in poll? - correct answer binompdf(5, .15, 2) = 0.1382 According to a medical study, 40% of people will experience an adverse side effect within one hour after taking a particular experimental drug. Suppose you survey 15 people who participated...

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2 pages

Written in 2024/2025

Grade A+

RealGrades

What is the coefficient of the third term in the binomial expansion of (a + b)^6? - correct answer b: 15 Coefficients of expansions of the 2nd power - correct answer 1,2,1 What is the coefficient of the x^4-term in the binomial expansion of (x + 3)^12? - correct answer d: 12C8(3)8 Coefficients of expansions of the 3rd power - correct answer ...

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3 pages

Written in 2024/2025

Grade A+

RealGrades

Which expression represents the fourth term in the binomial expansion of (e + 2f)10? 10C3(e7)(2f)3 10C3(e7)(f)3 10C4(e6)(2f)4 10C4(e6)(f)4 - correct answer A.) 10C3(e7)(2f)3 Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true? - correct answer The values of nC0 and nCn are equal to 1. The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volum...

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2 pages

Written in 2024/2025

Grade A+

RealGrades

The correction for continuity is used because of the discrepancy between continuous and discrete distributions. A. True B. False - correct answer A. True Z-statistic can test whether two samples come from binomial distributions with the same parameter π. A. True B. False - correct answer A. True For binomial distributions, the mean and the variance decrease as the sample size increases. A. True B. False - corr...

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6 pages

Written in 2024/2025

Grade A+

RealGrades

Hypothesis - correct answer A theory about how the world works. Hypothesis Testing - correct answer A method that uses inferential statistics to decide which of two hypotheses the data supports. Likelihood - correct answer Probability distribution of a statistic, according to each hypothesis. Binary Data - correct answer A set of two-choice ...

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2 pages

Written in 2024/2025

Grade A+

RealGrades