Math Problem Statement
A student takes a 50 question true/false test.
What is the expected number of correct answers if the student guesses on every question?
Let X = number of questions students gets correct on the test.
n = . Enter the Exact Value.
p = . Write as a decimal, one decimal place. Example 0.3
= . Enter the Exact Value.
= . Write as a decimal, rounded to 3 decimal places. For example: 0.3456 enter as 0.346
Expected Number of Successes = Enter the Exact Value.
Using mean and standard deviation, what is the lowest number of correct answers that would be considered usual? Round to the nearest whole number.
Would a student correctly scoring 35 correct out of 50 on the test be unusually high?
Enter Y for yes or N for no.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Binomial Distribution
Probability
Standard Deviation
Mean
Formulas
Mean: μ = n * p
Standard Deviation: σ = sqrt(n * p * (1 - p))
Usual Range: μ ± 2σ
Theorems
Binomial Theorem
Suitable Grade Level
Grades 9-12
Related Recommendation
Probability of 12 Correct Answers on a 30-Question Test with Random Guessing
Binomial Distribution for Multiple-Choice Test with Random Guesses
Binomial Distribution: Probability of Correct Answers on a 10-Question Multiple Choice Quiz
Probability of Scoring 18+ Points on a True-or-False Quiz
Binomial Probability for 6 Correct Answers in a 20-Question Multiple Choice Test