3. (Binomial Distribution) There are 100 multiple choice questions on an exam, each having responses a, b, c, or d. Suppose each student has probability of p of correctly answering a question chosed at random from a universe of possible questions. In addition, the answers from question to question are independent. Let random variable X be the number of questions for 2 which the student answers correctly. 4 (a) We can see the distribution of X is Binomial distribution with n an p. What are n and p ? Expression: X~ B(n, p); X ~ B (n = 5 (b) What is the probability that the student will score exactly 25 of 100 points? (If possible, use Excel function, "binom.dist") (c) What is the probability that the student will score more than 25 points? (If possible, use Excel function, "binom.dist") P (d) On average, how many points the student will score?

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.