If the joint probability is given by:

f(x,y) = (2x + 2y)/40, for x = 0, 1, 2, 3; y = 0, 1, 2, 3

Find P(X + Y = 4):

Is the equation valid?

Find P(X>Y ):

Find P(X ? 2, Y = 1):

Find P(X > 2, Y ? 1):

CARD GAME:

If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that:

Exactly 2 of them will be face cards?

a. 0.2346

b. 0.3248

c. 0.4248

d. 0.3246

At least 1 of them will be a queen?

a. 0.25

b. 0.35

c. 0.45

d. 0.55

State Lottery

A state runs a lottery in which 5 numbers are randomly selected from 50, without replacement. A player chooses 7 numbers before the state's sample is selected:

What is the probability that the 5 numbers chosen by a player match all 5 numbers in the state's sample?

What is the probability that 3 of the 5 numbers chosen by a player appear in the state's sample?

What is the probability that 4 of the 5 numbers chosen by a player appear in the state's sample?

COIN FLIPPING

Find the probability that a person flipping a coin gets:

the third head on the seventh flip:

a. 0.3272

b. 0.2345

c. 0.1172

d. 0.6543

the first head on the fourth flip:

a. 0.0725

b. 0.0304

c. 0.0625

d. 0.0532

JOB APPLICANT

The selection of a potential candidate for a junior software engineer position is summarized by the applicant's compliance to the following standards:

What is the probability that the selected applicant conforms to both academic and work experience requirements?

What is the probability that the selected applicant passes to academic requirements or to work experience requirements? (use 3 decimal places, write 0 on the ones digit. i.e. 0.456)

What is the probability that the selected applicant either passes to academic requirements or does not pass to work experience requirements?

If an applicant is selected at random, what is the probability that he/she passes the academic achievement requirements? (use 3 decimal places, write 0 on the ones digit. i.e. 0.456)

GIVEN DATA: Work Experience Standards Yes no Academic Yes 320 13 Achievement no 38 8 Standards