please answer all the question below 4.1 The student marks from first test were compiled and...

please answer all the question below

4.1 The student marks from first test were compiled and summarized. If it is known from previous tests that the marks are normally distributed with mean 55 and standard deviation 5.3.

4.1.1 What is the probability that a randomly chosen student scored a mark above 60?

4.1.2 What is the probability that the test mark will be between 40 and 50?

4.1.3 If 500 students wrote the test how many will score a mark below 50

1.5 A multiple-choice test has 30 questions. There are 4 choices for each question. A student who has not studied for the test decides to answer all questions randomly. What type of probability distribution can be used to figure out his chance of getting at least 20 questions right?

A. Normal distribution

B. Binomial distribution

C. Poisson distribution

D. Uniform distribution

E. none of the above

please answer all the question above

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