Question

# a) A student has just been given a 7-question multiple-choice quiz in their anatomy class. Each...

a) A student has just been given a 7-question multiple-choice quiz in their anatomy class. Each question has five answers, of which only one is correct. Since this student has not attended any classes recently, they do not know any of the answers and must guess on all 7 questions. What is the probability they will get at least one question correct?

a. 0.7903

b. 0.8154

c. 0.3670

d. 0.1429

b) A student has just been given a 7-question multiple-choice quiz in their anatomy class. Each question has five answers, of which only one is correct. Since this student has not attended any classes recently, they do not know any of the answers and must guess on all 7 questions. What is the probability they will answer none of the questions correctly?

a. 0.7903

b. 0.8154

c. 0.3670

d. 0.1429

c)A student has just been given a 7-question multiple-choice quiz in their anatomy class. Each question has five answers, of which only one is correct. Since this student has not attended any classes recently, they do not know any of the answers and must guess on all 7 questions. What is the probability they will get exactly one question correct?

a. 0.7903

b. 0.8154

c. 0.3670

d. 0.1429

Solution:-

p = 1/5 = 0.20, n = 7

a) (a) The probability they will get at least one question correct is 0.7903

x = 1

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 1) = 0.7903

b) The probability they will answer none of the questions correctly is 0.2097.

x = 0

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 0) = 0.2097

c) (c) The probability they will get exactly one question correct is 0.3607.

x = 1

By applying binomial distribution:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 1) = 0.3607

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