Directions: Solve the given problem. Show your solutions. Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are elected at random to undergo an emissions test. a. Find the probability that exactly four of them fail the test. b. Find the probability that fewer than four of them fail the test. c. Find the probability that more than three of them fail the test.

Q: Use the binomial theorem to find 9C3

A: To find: Use the binomial theorem to find 9C3

Q: Write an example of a degree 3 binomial

A: example of degree 3 binomial is given below

Q: Using the Pascal Triangle and the Binomial Theorem expand the expression (p-2q)^4

A: Concept:

Q: Activity 1: You Can Find Out Find the product of the cube of a binomial. 1. (b + 4)3 2. (2m – 6)

A: 1. To find: b+43  ……1

Q: Use the Binomial Theorem to expand the binomial (x + 3y)3 and express the result in simplified form.

A:

Q: How many subsets of {0, 1, ...,9} have cardinality 5 or more?

A:

Q: Use the Binomial Theorem to expand the binomial (x + 2y)5 and express the result in simplified form.

A: Given, Use the binomial theorem to expand the binomial x+2y5 and express the result in simplified…

Q: a. Coefficient of x1/y21 in the expansion of (3x-2y)38 b. Coefficient of x23y41 in the expansion of…

A: The expression, nr can be defined by the formula, nr=n!(n-r)! r! .

Q: Use the Binomial Theorem to expand the binomial (x2 + 2y)4 and express the result in simplified…

A: the given expression is: x2+2y4

Q: please address part (D) WHAT IS E(Y) AND V(Y)  It is a negative binomial if that help

A: Part 4) From the given information, An experiment consists of independent rolls of a fair die. The…

Q: Calculate the binomial coefficient. (13'

A: To calculate the binomial coefficient

Q: n 5k

A: I have used binomial theorem

Q: xpand the binomial by using the binomial theorem. (3x + 7)° = [D

A: Given query is to find the binomial expansion.

Q: Assume that random guesses are made for 4 multiple-choice questions on a test with 2 choices for…

A: Refer binomial probability, Lookup for n=4, p=0.50 corresponding to x=0 to find the probability.

Q: What is the coefficient of the term a b²c5d²e² for the product (a+b+c+d+e)25? Just provide the final…

A: By multinomial theory, the coefficient of ac1 bc2 cc3 dc4 ec5 in (a + b + c + d + e)k  is…

Q: Use the Binomial Theorem to expand the binomial (2x + 1)4 and express the result in simplified form.

A: Binomial theorem states that: a+bn=an+C1nan-1b+C2nan-2b2+⋯⋯+Cn-1nabn-1+b We have to expand 2x+14…

Q: How many 8-bit strings (that is, bit strings of length 8) are there which: a. Start with the…

A:

Q: QUICK CHECK 5 Evaluate the binomial ) and (-3' coefficients 2,

A:

Q: Expand the binomial. (3x − y2)5

A: To expand