Aof Panel

Soru 1

Consider the random experiment of tossing a fair coin until a tail (T) and a head (H) show up once. Describe the sample space of this random experiment ?

Soru 2

A mixed basketball team (5 players) will be chosen from 8 male and 7 female players. This team should consist of at least 2 female and at least 2 male players, how many different teams are possible?

Soru 3

A box contains 10 glasses : 4 red and 6 blue. Two glasses are selected randomly, without replacement, from this lot. What is the probability that the first selected glass is blue?

Soru 4

Assume that 20 percent of Statistics course students in Anadolu University take Music course, 10 percent take Swimming course, and 4 percent take both Music and Swimming courses. What percentage of Statistics students neither take Music nor Swimming course?

Soru 5

The probability of an event A is 0.6, the probability of an event B is 0.3. The probability that neither A nor B occurs is 0.25. What is the probability that both A and B occurs?

Soru 6

A jar contains 4 blue, 5 yellow, and 6 pink balls. If 3 balls are selected randomly, without replacement, what is the probability that the 4th ball selected is blue, given that the first 3 balls are blue, pink, yellow, respectively ?

Soru 7

The probability that Navigator A shows wrong way to an address is 0.09 and the probability that Navigator B shows wrong way to the same address is 0.07 and the probability that both Navigators show wrong way to the same address is 0.04. What is the probability that only one of the Navigators shows wrong way to the same address?

Soru 8

Events A, B, and C are all independent and that B and C are mutually exclusive events. P(A)=0.04, P(B)=0.03, and P(C)=0.02. What is the probability that events A and B will occur or A will not occur and C will occur?

Soru 9

Consider an ultrasound software for brain tumor diagnosis : a) the overall rate of the disease in the population being screened is 1 % ; b) the probability that a healthy person wrongly gets a positive result (false positive) is 0.05 ; c) the probability that an ill wrongly gets a negative result (false negative) is 0.002 ; d) other 2 situations are correctly diagnosing healthy persons (true negative) and correctly diagnosing ills (true positive). If test of a person A gives a positive result, what is the probability that person A actually have the disease?

Soru 10

60 % of students take Statistics 2 course after Statistics 1 course. 25 % of students takes Statistics 2 course without taking Statistics 1 course. What is the probability that a student who takes Statistics 2 course has not taken Statistics 1 course?

Soru 11

What can be said true about the basic concepts of probability?

Soru 12

I. The complement of an event A is the set of all basic outcomes in S that do not belong to A.

II. The union of events A and B is the set of all elementary outcomes that belong to both sets.

III. The intersection of events A and B is the set of all elementary outcomes that belong to at least one of the sets A and B.

For A and B, which are any two events in a random experiment with sample space S, which of the statements are true?

Soru 13

When is A and B, which are any two events in a random experiment with sample space S, can be said to be mutually exclusive?

Soru 14

If there were two dices thrown at the same time what would their total number of possible outcomes be?

Soru 15

In how many different ways can the letters in P R O B A B I L I T Y be arranged?

Soru 16

I. For any event A⊆S, P(A)≥0.

II. For any event A, P(Ā) = 1 – P (A)

III. For any two events A and B, P(A,B) = P(A) + P(B)

Which of the probability axioms can be said to be true?

Soru 17

I. P(AnB) = P(A⏐B)P(B) this formula is called the multiplication rule.

II. A and B are statistically independent if and only if P(AnB) = P(A)P(B).

III. For A and B sets independence can also be denoted by P(A⏐B)

Soru 18

Which of the following terms define the set of all possible outcomes in a random experiment?

Soru 19

A random experiment is any process that leads to two or more possible outcomes, without knowing exactly which outcome will occur. Which one below is NOT an example of a random experiment?

Soru 20

What does this equation tell us?

İSTATİSTİK I