Statıstıcs I (ENG)
Ünite Sınavı Soruları
- 20 soru
- Soru metinleri açık; şıklar ve cevap anahtarı uygulamada
- 1
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? - 2
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)?
- 3
According to the properties that probability density function f(x) of normal distribution has, which of the following is not true?
- 4
What does a variable's taking on infinite number of possible outcomes in a given interval show?
- 5
z score of a standard normally distributed random variable Z for value=-a is 0.195. What is P(Z < (-a)) ?
- 6
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?
- 7
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 ?
- 8
Consider the probability density function f(x)=0.025, for 20 ≤ x ≤ 60 and find the standard deviation of this function?
- 9
Which of the following can be categorized as a discrete random variable?
- 10
The normal distribution is one of the most significant and extensively used continuous probability distribution because ...
Which of the following correctly concludes the sentence above?
- 11
What is the mean of f(x) = x for 0 ≤ x ≤ 4 equal to?
- 12
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?
- 13
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?
- 14
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?
- 15
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?
- 16
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 ?
- 17
What is the area below the probability density function f (x) = 0.1, for 0 ≤ x ≤ 20 ?
- 18
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?
- 19
Suppose that random variable X has exponential distribution with λ=a. Find the probability of P (X ≥ b) ?
- 20
- f (x) ≥ 0 for all x values
- The normal distribution function curve is symmetric around the mean, μ
- The probability density function f (x) does not the touch and intersect x axis
Which of the above is/are the properties that probability density function f (x) of normal distribution has?