d) Find the probability of obtaining less than 15 correct questions. e) Would the Normal Approximation produced accurate results? Provide all formulas used. f) Evaluate the probability of obtaining 20 correct questions by using the normal approximation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Questions a-c are already completed just need d-f completed! thanks :)

1. The Final Exam in a sociology class consist of 100 multiple choice questions. Each question has 6 possible
answers with only I correct. An unprepared student makes random guesses for all answers. "Provide all code
and round to 4 decimal places"
a) Find the mean and standard deviation for the number of correct answers. Provide all formulas used.
b) Find the probability of obtaining 10 correct questions.
c) Would it be unusual for a student to get 10 answers correct? Use a sentence and probability to justify your
answer.
Transcribed Image Text:1. The Final Exam in a sociology class consist of 100 multiple choice questions. Each question has 6 possible answers with only I correct. An unprepared student makes random guesses for all answers. "Provide all code and round to 4 decimal places" a) Find the mean and standard deviation for the number of correct answers. Provide all formulas used. b) Find the probability of obtaining 10 correct questions. c) Would it be unusual for a student to get 10 answers correct? Use a sentence and probability to justify your answer.
d) Find the probability of obtaining less than 15 correct questions.
e) Would the Normal Approximation produced accurate results? Provide all formulas used.
f) Evaluate the probability of obtaining 20 correct questions by using the normal approximation.
Transcribed Image Text:d) Find the probability of obtaining less than 15 correct questions. e) Would the Normal Approximation produced accurate results? Provide all formulas used. f) Evaluate the probability of obtaining 20 correct questions by using the normal approximation.
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