Question: Study the information provided below and use it to answer questions 11 - 13. Out of 100 students writing a summative examination in an exam

Study the information provided below and use it to answer questions 11 - 13.

Out of 100 students writing a summative examination in an exam hall, 20 obtained distinctions in the formative assessment. Assume a binomial distribution.

Use the information provided below to answer questions 14 - 15. The amount of Hellmann's mayonnaise, X, in a 320-gram tub is normally distributed with a mean of 300 grams and a standard deviation of 15 grams.

Answer ALL the questions in this section.

Question 11 (4 Marks)

What is the probability that a row of 10 students includes exactly 2 students who obtained distinctions in the formative assessment?

A 0.3020 B 0.0008 C 0.2018 D 0.4567

Question 12 (4 Marks) What is the probability that a row of 10 students includes at least 2 students who obtained distinctions in the formative assessment? A 0.6242 B 0.94 56 C 0.7897 D 0.7645

Question 13 (4 Marks) What is the probability that a row of 10 students includes at least 3 students who obtained distinctions in the formative assessment? A 0.6778 B 0.3222 C 0.5676 D 0.4567

Question 14 (4 Marks) What is the probability that a randomly selected tub of Hellmann's mayonnaise contains between 295 and 315 grams of mayonnaise? A 0.6324 B 0.2986 C 0.5294 D 0.4719

Question 15 (4 Marks) What is the probability that a randomly selected tub of Hellmann's mayonnaise contains at least 310 grams of mayonnaise? A 0.7475

B 0.1298 C 0.2525 D 0.5719

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