A multiple-choice examination consists of 80 questions, each having possible choices a, b, c, d, and e. Approximate the probability that a student will get at most 16 answers correct if she randomly guesses at each answer. (Note that, if she randomly guesses at each answer, then the probability that she gets any one answer correct is 0.2.) Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) 0 Check X M 31 Submit A Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center

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A multiple-choice examination consists of 80 questions, each having possible choices a, b, c, d, and e. Approximate the probability that a student will get at most 16 answers correct if
she randomly guesses at each answer. (Note that, if she randomly guesses at each answer, then the probability that she gets any one answer correct is 0.2.) Use the normal
approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.
(If necessary, consult a list of formulas.)
0
Check
K
71
X
C
G
M
OL
C
●
&
Save For Later
Submit A
2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
e
O
Transcribed Image Text:A multiple-choice examination consists of 80 questions, each having possible choices a, b, c, d, and e. Approximate the probability that a student will get at most 16 answers correct if she randomly guesses at each answer. (Note that, if she randomly guesses at each answer, then the probability that she gets any one answer correct is 0.2.) Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) 0 Check K 71 X C G M OL C ● & Save For Later Submit A 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center e O
Expert Solution
Step 1: Introduce the given information

According to the given information,

Sample size, n = 80

Probability of success, p = 0.2

Using formulas,

Mean, μ = np

Standard deviation, sigma equals square root of n p left parenthesis 1 minus p right parenthesis end root

Z minus s c o r e equals fraction numerator X minus mu over denominator sigma end fraction

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