Question: 2. In Canada, an engineer is required to be licensed by a government regulatory body so that he/she can practise engineering. In Newfoundland and Labrador

2. In Canada, an engineer is required to be licensed by a government regulatory body so that

he/she can practise engineering. In Newfoundland and Labrador (NL), Engineers and

Geoscientists Newfoundland & Labrador (PEGNL) provides a license to professional

members which are permitted by the law to undertake responsibilities of engineering work

in NL province. PEGNL is looking to arrange a national professional practice and ethics

examination. The examination consist of 20 questions and each question has four answers.

Suppose you are a candidate for this exam. When you looked at the exam, you have no idea

about the correct answers, and you try to make guess for each question. Given that p = 0.20,

(a) Find the probability that your more than 15 questions are correct? (5 points)

(b) Find the probability that you answer less than 5 questions correctly? (5 points)

(c) What is the probability that your answers of 7 to 12 questions are correct? (10 points)

Solve using both formulas and the tables of Binomial Probability Distributions. Show all your

calculations.

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