Reference no: EM132157615

1. Say you are applying for 15 jobs and the probability of being invited for a job interview is p= 0.3. What is the expected number of job interviews you will be invited to?

2.Looking at Table answer the following questions:

Studied Did Not Study Total

Passed 4,200 1,750 5,950

Failed 800 3,250 4,050

Total 5,000 5,000 10,000

a. From this study, what is the probability of a student passing a test?

b. What is the probability of a student passing a test given that he/she is allowed to study?

c. What is the probability that a student fails a test given that he/she is allowed to study?

d. What is the probability that a student passes a test given that he/she is NOT allowed to study?

3. Say there are 10 balls in a bag. 7 are blue and 3 are red.

a. What is the probability of getting a blue ball in one draw?

b. Say you have two draws. The two draws are independent events (There is replacement. This means that the ball that is taken out in the first draw is put back in for the second draw). What is the probability of drawing a blue ball in the first draw AND a red one in the second draw?

c. If there is no replacement (i.e. the two draws are not independent events): What is the probability of drawing a blue ball in the first draw and a red in the second draw?

d. Say you have instead 15 balls, 7 blue, 3 red and 5 green. What is the probability of getting a green OR a blue ball in the first draw?