Question: Exercise 1 On average 26 people arrive per hour at a counter of a hypermarket. What is the probability that 23 customers arrive in 47

Exercise 1

On average 26 people arrive per hour at a counter of a hypermarket. What is the probability that 23 customers arrive in 47 minutes?

Exercise 2

Assuming that 6 in 10 automobile accidents are mainly due to a speed violation. What is the probability that among 8 automobiles, at least 4 will be mainly due to a speed violation?

Exercise 3

Loraine Corporation is planning to market a new makeup product. According to the analysis made by the financial department of the company, it will earn an annual profit of $4.5 million if this product has high sales and an annual profit of $ 1.2 million if the sales are mediocre, and it will lose $2.3 million a year if the sales are low. The probabilities of these three scenarios are 0.55, 0.28 and 0.17 respectively.

Let x be the profits (in millions of dollars) earned per year from this product by the company. Calculate the expected value of x.

Exercise 4

A multiple choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct.

a) In how many different ways can a student check off one answer to each question?

b) In how many ways can a student check off one answer to each question and get all the answers wrong?

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