Aof Panel

Soru 1

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

Soru 2

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

Soru 3

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 4

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 5

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

Soru 6

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 7

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 8

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 9

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 10

Which one below is an example of exponential distribution?

Soru 11

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?

Soru 12

What is the area below the probability density function f (x) = 0.1, for 0 ≤ x ≤ 20 ?

Soru 13

I. 0 ≤ F (x) ≤ 1

II. If x₁ ≤ x₂ then F (x₁) ≤ F (x₂)

III. If x₁ = x₂ then F (x₁) = F (x₂)

Which of the given statements are considered the properties of the cumulative probability function?

Soru 14

What is the mean of f(x) = x for 0 ≤ x ≤ 4 equal to?

Soru 15

What is the mean of f(x) = x for 0 ≤ x ≤ 4 equal to?

Soru 16

For X which is a continuous random variable that is uniformly distributed and takes values between 3 and 9. What is the probability density function of the random variable X ?

Soru 17

For X which is a continuous random variable that is uniformly distributed and takes values between 3 and 9. What is the mean of the random variable X ?

Soru 18

For X which is a continuous random variable that is uniformly distributed and takes values between 3 and 9. What is the variance of the random variable X ?

Soru 19

I. The exponential random variable is frequently used to model the time interval between two events.

II. The exponential random variable is defined with a parameter λ.

III. The exponential random variable X defines the time interval between two independent events.

Which one of the given statements can be said to be true about exponential distribution?

Soru 20

I. The standard normal curve is symmetric around the mean μ = 0.

II. The standard normal distribution has a standard deviation σ = 1 of the distribution.

III. The area under the standard normal distribution function for P (z ≤ 4.25) is exactly 1.

Which of the given statements can be said to be true about the standard normal distribution function?

İSTATİSTİK I