A Math exam has 30 multiple choice questions, each with choices from Dað to DeD where each question has only one correct answer. A randomly selected student did not study and must guess on each question. a. Find the expected number of correct answers b. Find the exact probability of answering at least 1 question correctly out of 30 questions (Round your answers to four decimal places.) c. Use Normal approximation to estimate the probability that the student answers at least 40% of the questions correctly (Round your answers to four decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A Math exam has 30 multiple choice questions, each with choices from DaO to DeD where each question has only one correct answer. A randomly selected student did not
study and must guess on each question.
a. Find the expected number of correct answers
b. Find the exact probability of answering at least 1 question correctly out of 30 questions (Round your answers to four decimal places.)
c. Use Normal approximation to estimate the probability that the student answers at least 40% of the questions correctly (Round your answers to four decimal places.)
Transcribed Image Text:A Math exam has 30 multiple choice questions, each with choices from DaO to DeD where each question has only one correct answer. A randomly selected student did not study and must guess on each question. a. Find the expected number of correct answers b. Find the exact probability of answering at least 1 question correctly out of 30 questions (Round your answers to four decimal places.) c. Use Normal approximation to estimate the probability that the student answers at least 40% of the questions correctly (Round your answers to four decimal places.)
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