A State-Wide Math Test Consists of 50 True/False Questions and 40

question 1

Essay

A state-wide math test consists of 50 True/False questions and 40 multiple choicequestions with 5 answer options. The total score (TS) is equal to the number oftrue/false items correct plus twice the number of multiple-choice items correct.a) For students who are randomly guessing, the distribution of scores on the 500.50. If we define the random variable T = score from T/F items, what are the meanand standard deviation of T for students who are guessing?
b) For students who are randomly guessing, the distribution of scores on the 40 multiplechoice questions is a binomial distribution with probability of success equal to 0.20.If we define the random variable M = score from multiple choice items, what are themean and standard deviation of M for students who are guessing?
c) The total score, TS, is a random variable formed by calculating TM+ 2 . Using yourresults from parts (a) and (b), find the mean and standard deviation of the randomvariable TS.d) For students who randomly guess on the multiple choice part of the test, what is theprobability that the first question correct is the 4th question?

---

Definitions:

Measurable Dose

A quantity of medication intended to be administered, quantifiable by units of weight, volume, or number.

IV Flow Rate

The speed at which intravenous fluid is administered to a patient, measured in milliliters per hour (mL/hr) or drops per minute.

Total Dose

The complete amount of a medication or substance to be administered over a specified period.

DA Equation

This term is not widely recognized as a standard key term in a specific field; thus, clarification is needed. NO.