Aof Panel

Soru 1

Consider the probability density function f(x)=0.04, for 15 ≤ x ≤ 40 and determine the probability of P (25 <= X <= 35) ?

Soru 2

Consider the probability density function f(x)=0.025, for 20 ≤ x ≤ 60 and find the standard deviation of this function?

Soru 3

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

Soru 4

Which statements below are correct?

I Exponential distribution is a type of a discrete random variable.

II Discrete random variables have only a countable number of distinct values.

III A discrete random variable typically comprises of a counting concept.

IV Continuous random variables represent entire infinite values in an interval.

V Continuous random variables are commonly measured instead of counted.

Soru 5

Which one below is NOT an example of a continuous random variable?

Soru 6

Which option is NOT correct about the probability density function?

Soru 7

Probability density function for continuous random variable X is defined as follows;

f (x) = 0.02, for 0 ≤ x ≤ 50.

Which one below is the probability of P (X < 20)?

Soru 8

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?

Soru 9

Consider that continuous random variable X is uniformly distributed and takes values between 10 and 50. Find the probability of P (15 < X < 25) ?

Soru 10

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

Soru 11

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

Soru 12

Random variable X has normal distribution, mean μ=25 and variance σ²=16. Determine the probability P (30 ≤ X ≤ 35) in terms of standard normal distribution?

Soru 13

Assume that waiting time to connect to internet at your home is normally distributed with a mean of 270 seconds and a standard deviation of 90 seconds. Find the probability that you can connect to internet in less than 210 seconds in terms of standard normal distribution?

Soru 14

Suppose that random variable X has exponential distribution with λ=a. Find the probability of P (X ≥ b) ?

Soru 15

Which information below is correct?

I The mean of a continuous random variable X is a weighted
average through the possible values of the random variable and associated probabilities.

II The mean of the continuous random variable is denoted by E (x).

III The mean is also called as expected value and denoted by μ.

IV The variance is denoted by V(x) or σ2.

Soru 16

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

Soru 17

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

Soru 18

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?

Soru 19

Which one below is an example of exponential distribution?

Soru 20

I. f (x) ≥ 0 for all x.

II. the area under probability density function between points a and b is equal to 1

III. P(a ≤ X ≤ b) is equal to 1

Which of the statements should the probability density function satisfy?

İSTATİSTİK I - Deneme Sınavı - 2