2026 QUESTIONS WITH ANSWERS
GRADED A+
◍ R command: For binomial distribution, n=50 and p=0.4, find P(X = 5)..
Answer: dbinom(5, 50, .4)
◍ What is the symbol for the phrase: x is at least?.
Answer: x≥
◍ interpret coefficient of determination.
Answer: ##% of the variation in y is explained by the LSRL and x
◍ hypergeometric formula for P(X=x)..
Answer: P(X=x) = C(m, x) *C(n, k-x) / C(m+n, k)
◍ 8 ounces.
Answer: 1 cup
◍ 3 feet.
Answer: 1 yard
◍ correlation coefficient of two random variables.
Answer: cov(X,Y) / (σx*σy)
◍ R command: For binomial distribution, n=50 and p=0.4, find P(X <= 5)..
Answer: pbinom(5, 50, .4)
◍ What is a Contradiction Equation?.
Answer: Statement is False. Has no Solution.
◍ mean for binomial distribution.
Answer: μ = np
◍ How do you write an answer in a solution set?.
, Answer: x { numbers }
◍ What is Commutative Property?.
Answer: Changes the order. Example: x+y = y+x
◍ R command: 5 number summary.
Answer: fivenum(listname)
◍ What is multiplicative identity?.
Answer: a number or variable multiplied by one equals that number or
variable.Example: 7y x 1 = 7y.
◍ What is a Multiplicative Inverse?.
Answer: a number or variable multiplied by its reciprocal equals one.
Example, (7y)(1/7y) = 1.
◍ total sum of squares.
Answer: tells how much variation there is in the dependent variable
◍ Write the symbol for the phrase: x is no less than.
Answer: x≥
◍ What is the Formula for Perimeter of a Rectangle?.
Answer: P=2l+2w
◍ What is the Formula for the Area of a Rectangle?.
Answer: A=lw
◍ 2 cups?.
Answer: 1 pint
◍ 2 pints.
Answer: 1 quart
◍ Chebyshev's Inequality.
Answer: The percentage of the observations that lie within k standard
deviations of the mean is at least 1 - (1/k^2) when k > 1
◍ variance of a random variable.
Answer: Var[X] = E[X^2] - E[X]^2