2.4-3.On a six-question multiple-choice test there are five possible answers for each question, of which one is correct (C) and four are incorrect (I). If a student guesses randomly and independently, find the probability of a. Being correct only on questions 1 and 4 (i.e., scoring C, I, I, C, I, I). b. Being correct on two questions.

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Hello Can you please help me with this problem because i don't understand how to do this problem and the parts that go along with it can you please do it step by step and can you label the parts too.

**Problem 2.4-3:**

Consider a six-question multiple-choice test where each question has five possible answers. Among these, one answer is correct (denoted as C) and four are incorrect (denoted as I). If a student makes random and independent guesses, determine the probability for the following scenarios:

a. The student answers correctly only on questions 1 and 4 (i.e., the answer pattern is C, I, I, C, I, I).

b. The student answers correctly on exactly two questions.
Transcribed Image Text:**Problem 2.4-3:** Consider a six-question multiple-choice test where each question has five possible answers. Among these, one answer is correct (denoted as C) and four are incorrect (denoted as I). If a student makes random and independent guesses, determine the probability for the following scenarios: a. The student answers correctly only on questions 1 and 4 (i.e., the answer pattern is C, I, I, C, I, I). b. The student answers correctly on exactly two questions.
Expert Solution
Step 1: Determine the given variables.

The question is about discrete probability distribution.

Given :

No. of multiple choice questions in a test ( n ) = 6

No. of possible answers for each questions = 5


To find :

a ) Probability of being correct only on question 1 and 4.

b ) Probability of correct on two questions.

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