Statıstıcs I

Soru 1

Orta Zorluk

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

A) Classical Probability

B) Empirical Probability

C) Subjective Probability

D) Multiplication rule

E) Bayes’ Theorem

Soru 2

Orta Zorluk

2 models will be randomly selected to walk in a fashion show in France. There are 2 models from an Italian agency and 3 of them work for a Turkish agency. If the event “one Turkish model X and one Italian model Y is chosen” is denoted by E, which one below is the listing the elements of E?

A) E= {X1X2, Y1Y2, Y1Y3, Y2Y3, X1Y1, X1Y2, X1Y3, X2Y1, X2Y2, X2Y3}

B) E = { X1Y1, X1Y2, X1Y3, X2Y1, X2Y2, X2Y3}

C) E = { X1Y1, X1Y2, X1Y3, X2Y1, X2Y2}

D) E = { X1X1, X1Y2, X1Y3, X2Y1, X2Y2, X2Y3}

E) E = { X1Y1, X1Y2, X1Y3}

Soru 3

Orta Zorluk

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 B?

A) 0,58

B) 0,62

C) 0,74

D) 0,81

E) 0,93

Soru 4

Orta Zorluk

Probability density function for continuous random variable X is defined as follows; f (x) = 0.05, for 0 ? x ? 30. Which of the following is the standard deviation of this function?

A) 14,08

B) 14,06

C) 14,05

D) 15,07

E) 14,03

Soru 5

Orta Zorluk

A bakery employs 10 people. The number of years’ experience that the employees of the company have is the following: 0, 0, 2, 4, 5, 8, 15, 17, 20, 24. What is the 80 th percentile of the data?

A) 18,5

B) 19,5

C) 20,5

D) 21,5

E) 22,5

Soru 6

Orta Zorluk

Pdf for continuous random variable X is defined as follows; f (x) = 0.02, for 0 ? x ? 50. What is the standard deviation of the continuous random variable X?

A) 208.33

B) 833.33

C) 104.167

D) 14.4336

E) 0. 1443

Soru 7

Orta Zorluk

I. It carries a unique numerical value. II. It is determined by random probability experiment and its associated outcome III. In statistical notation, random variables represented by lower case such as x and y. Which of the following statements above are TRUE for random variables?

A) I, II and III

B) I and II

C) I and III

D) Only I

E) Only II

Soru 8

Orta Zorluk

Consider that continuous random variable X is uniformly distributed and takes values between -5 and b and the mean value of µ = 10. Determine the value of b?

A) 0

B) 5

C) 10

D) 20

E) 25

Soru 9

Orta Zorluk

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

A) An event occurs if the random experiment results in one of the basic outcomes of that event.

B) A set of some of the possible outcomes of a random experiment is called the sample space.

C) Each possible outcome of a random experiment is called a sample space.

D) The set of all possible outcomes of a random experiment is called the elementary outcome.

E) A random experiment is any process that leads to a certain possible outcome.

Soru 10

Orta Zorluk

I. P(A+B) = P(A?B)P(B) this formula is called the multiplication rule. II. A and B are statistically independent if and only if P(A+B) = P(A)P(B). III. For A and B sets independence can also be denoted by P(A?B)

A) Only I

B) Only II

C) I and II

D) I and III

E) II and III

Soru 11

Orta Zorluk

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?

A) Rolling a fair die

B) Customers arriving at a particular store during some time interval.

C) Airplanes taking off in a given time interval at some airport.

D) The students in the biggest classroom at school.

E) Some particular customer requests in a bank.

Soru 12

Orta Zorluk

I. 0 ? F (x) ? 1 II. If x 1 ? x 2 then F (x 1 ) ? F (x 2 ) III. If x 1 = x 2 then F (x 1 ) = F (x 2 ) Which of the given statements are considered the properties of the cumulative probability function?

A) Only I

B) Only II

C) I and II

D) I and III

E) II and III

Soru 13

Orta Zorluk

z score of a standard normally distributed random variable Z for value=-a is 0.195. What is P(Z < (-a)) ?

A) 0.805

B) 0.695

C) 0.305

D) 0.265

E) 0.195

Soru 14

Orta Zorluk

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?

A) 0,156

B) 0,159

C) 0,240

D) 0,300

E) 0,500

Soru 15

Orta Zorluk

A manager in a company has two assistant directors. The probability that the older assistant director comes late to work on a given day is 0.07, whereas for the younger assistant director this probability is 0.05. In addition, the probability that both assistant directors come late to work on given day is 0.03. What is the probability that on a given day one or both assistant directors come late to work?

A) 0.87

B) 0.97

C) 1.07

D) 1.17

E) 1.27

Soru 16

Orta Zorluk

Which one below is NOT one of the differences between continuous and discrete random variables?

A) Continuous random variables take on uncountable and infinite number of possible outcomes.

B) Probabilities in continuous random variables can be determined from the area under probability density function.

C) The range of continuous random variableXcomprises all real numbers in an interval.

D) To describe such structures through continuous random variables density functions are utilized.

E) Only in continuous random variables, the mean is a measure of the midpoint or center of the probability distribution.

Soru 17

Orta Zorluk

Commerce, especially online electronic commerce Finance, for example share prices on stock markets, all managed electronically Insurance, all the premiums, incidents, actuarial transactions in an insurance company Transport, for example in the airline industry, all the flights, all the passengers Which of the above can be considered for big data?

A) I, II and III

B) I, III and IV

C) I, II and IV

D) II, III and IV

E) I, II, III and IV

Soru 18

Orta Zorluk

z score of a standard normally distributed random variable Z for value=a is 0.1700. What is P(Z > a) ?

A) 0.17

B) 0.25

C) 0.33

D) 0.67

E) 0.83

Soru 19

Orta Zorluk

Let E1, E2, ..., Ek be a collection of mutually exclusive and collectively exhaustive events. Then for any event A with P(A)=?0 and any i=1, 2..., k What is the formula above?

A) Multiplication rule

B) Bayes’ Theorem

C) Random experiment

D) Elementary outcome

E) Independence probability

Soru 20

Orta Zorluk

In ___________ approach, the researcher assigns a suitable value as the probability of the event. Which of the following fills the blank correctly?

A) Mutual Probability

B) Classic Probability

C) Empirical Probability

D) Objective Probability

E) Subjective Probability

Sınav Ayarları

Soru 1

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Soru 3

Soru 4

Soru 5

Soru 6

Soru 7

Soru 8

Soru 9

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Soru 11

Soru 12

Soru 13

Soru 14

Soru 15

Soru 16

Soru 17

Soru 18

Soru 19

Soru 20