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8. Ünite
Soru 1
Which of the following can be categorized as a discrete random variable?
Soru 2
Which of the followings are not correct related to probability density function?
Soru 3
Which of the followings is not true about cumulative distribution function?
Soru 4
Which of the followings is not true about normal distribution?
Soru 5
Which of the following properties is not valid related to probability density function f (x) for normal distribution?
Soru 6
Probability density function for continuous random variable X is defined as follows;

f(x) = 0.02, for 0 ≤ x ≤ 50

Which of the following mean of the continuous random variable X?

Soru 7
Probability density function f (x) of normal distribution has the following property;

f (x) ≥ 0 for all x values

Which of the statements explains the property above?

Soru 8
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?

Soru 9
An eye doctor’s physical examination time is exponentially distributed with a mean of 25 minutes

Which of the following is the probability that the physical exam duration takes less than 20 minutes?

Soru 10
Consider that continuous random variable X is uniformly distributed and takes values between a and 19 and the mean value of μ=12.

Which of the following the standard deviation for the random variable X?

Soru 11
Which of the following is not a continuous random variable?
Soru 12
Consider the probability density function f(x)=0.04, for 15 ≤ x ≤ 40 and determine the probability of P (25 <= X <= 35) ?
Soru 13
Consider the probability density function f(x)=0.025, for 20 ≤ x ≤ 60 and find the standard deviation of this function?
Soru 14
Which one below is NOT one of the differences between continuous and discrete random variables?
Soru 15
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 16
Which one below is NOT an example of a continuous random variable?
Soru 17
Which option is NOT correct about the probability density function?
Soru 18
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 19
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 20
Consider that continuous random variable X is uniformly distributed and takes values between 10 and 50. Find the probability of P (15 < X < 25) ?