Ünite Sınavı Soruları

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

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 ?

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.

Which option is NOT correct about the probability density function?

Which one below is an example of exponential distribution?

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?

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?

Which of the followings are not correct related to probability density function?

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

Which of the following can be categorized as a discrete random variable?

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

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

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.

1. Arithmetic mean
2. Standard deviation
3. Variance 

Which of the above determine(s) the shape of the normal random variable?

For which of the following, does the probability density function f (x) of the continuous random variable X take a constant value over the range of the random variable X is defined?

Which of the following is a measure of the midpoint or center of the probability distribution?

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?