Ünite Sınavı Soruları

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?

How many different ways can the letters in the word COMMON be arranged?

We have a  box containing only red and blue balls. If we randomly pick up a ball from this box, it could only be either a red ball or a blue ball, the selected ball cannot be a ball of red and blue at the same time. The occurrence of one event dictates that none of the other events can occur at the same time.

How is this event called?

Which of the following is a feature of Bayes’ Theorem?

I.Using Bayes’ Theorem, we can find the probability that a defective item is produced by a particular machine.

II.It enables us to compute a particular conditional probability.

III. It is defined as the arrangements of a finite number of distinct objects. 

A s­ix-si­ded fai­r dic­e has been thrown 1000 times and the occurrence of number 2 ­is 156. What i­s the empirical probability of obtaining a number 2 when you throw a s­ix-si­ded fai­r dic­e?

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?

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?

Which is TRUE aboout the classical probability?

At a local district, there are three d­ifferent pizza restaurants denoted here by A, B, and C. It is known that 40% of all customers give an order from company A, whereas 35% give an order from company B, and 25% give an order from company C. It is also known that 10% of the motorcycles from company A, 20% of the motorcycles from company B, and 5% of the motorcycles from company C need to a checkup before the next pizza delivery. If a motorcycle returned to the company needs a checkup before the next pizza delivery, what is the probability that this motorcycle was owned by company A?

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?

In how many different ways can the letters in U-S-U-A-L-L-Y be arranged?

Which of the statements below are correct?

I In classical probability, all the outcomes have the same chance of happening.

II In empirical probability, the experiments are repeated many times and the observed outcomes of the event we are interested in is counted.

III When it is not possible to observe the outcomes of events, the researcher applies the researcher assigns a suitable value as the probability of the event.

IV It is not appropriate to use personal judgement to assign the probability.

What is the formula P(A∩B) = P(A⏐B)P(B) called?

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?

In how many d­ifferent ways can the letters i­n T H A N K S be arranged?

What is the probability of two dices landing on numbers that when sum up is equal to 6?

If there are 20 d­ifferent departments and 5 d­ifferent elective courses, i­n how many d­ifferent ways can a student be classified?