1 - A dice is thrown with the faces numbered from one to six, perfectly balanced.

Say the probability of an even number coming out.

a.1/2

b.1/6

c.4/6

d.3/6

2-Find the indicated probability. Round to three decimals. In a certain university, 33% of physics students belong to ethnic minorities. If 10 students are selected at random from physics students, what is the probability that no more than 6 belong to an ethnic minority?

a.0.913

b.0.055

c.0.982

d.0.913

3-The manager of a large computer network company developed a probability distribution of the number of interruptions per day. INTERRUPTIONS = X X P (X) 00.1 10.2 20.45 30.15 40.05 5 0.05

The mean and the standard deviation of the expected number of interruptions per day, respectively, is

a.2 and 1.18

b.2 and 1.4

c.0.05 and 1.4

d.0.05 and 1.18

4- Provide an adequate response. A 28-year-old man pays $ 165 for a one-year life insurance policy with coverage of $ 140,000. If the probability that you will live throughout the year is 0.9994, what is the expected value of the insurance policy?

a.$ 84.00

b.- $ 164.90

c.$ 139,916.00

d. - $ 81.00

5-Find the indicated probability. If you choose a random card from a well-shuffled deck, what is the probability of getting a face card or a sword?

a.25/52

b.9/26

c.11/26

d.1/22

6-From the information provided, create the sample space of the possible results. Be a pair of white mice. The male has both a white (B) and a black (N) gene. The female only has white genes. The color of the offspring depends on the pairs of color genes that they receive. Suppose neither white nor black are dominant genes. List the possible results.

a.BN, NB

b.BB, NN

c.BB, BB

d.BB, NB

7-Solve the problem. There are 6 members on a board of directors. If you have to elect a president, a secretary and a treasurer, how many different lists of candidates are possible?

a.20

b.120

c.720

d. 216

8.A dice with 6 faces is thrown. What is the probability that a number less than 5 will come out?

a.4

b.2/3

c.1/6

d.5/6

9- Determine if the given procedure results in a binomial distribution. If not, indicate the reason. To launch a dice "loaded" so that it leaves the "five", 50 times.

a.It is not binomial: there are too many tests.

b.It is a binomial distribution.

c.It is not binomial: there are more than two results of each trial.

d.It is not binomial: the tests are not independent.

10-In a regular game of cards we have a total of 52 since the wild cards are not included. Say the probability of extracting a card from the heart.

a.0.25

b.0.75

c.0.019

d.0.5

11-A study of 2,000 flights, selected randomly from the Ronald Reagan airport in Washington, showed that 500 arrived in due time. Say the probability that a flight will arrive on time.

a.500/2500 = .2

b.500/2000 = .25

c.2500/2500 = 1

d.500/500 = 1