please answer it comprehensively and see the attached photo.

part 1

what is the importance of statistics?

part 2

Identify whether the given item involves a discrete random variable or a continuous

random variable.

1.the speed of tricycle

2.the number of female students

3.the time needed to finish the assignment

4.the amount of sugar in a cup of coffee

5.the number of effective mobile phones produced by a manufacturer

6.getting the temperature of patient admitted in a hospital

7.collecting data about the weights of students in a certain school

8.the number of Balikbayan OFW ARRIVED IN THE PHILIPPINES

9.the amount of liquid in a 12- ounce can of soda

part 3

1. How do you know whether a random variable is continuous or discrete?

2. How do you find the values of a random variable?

3. How do you determine if the given distribution is a probability distribution?

4. How do you compute the probability of a discrete random variable?

5. What important skills did you develop in getting the probability?

part4

true or false

please see the attached photo.

The notations equivalent to the expected value of the probability distribution is ox and for variance is E(X). The variance of a discrete random variable shows the spread out or dispersion of discrete random variables. The mean of a discrete random variable is the summation of the product of the square of the difference of x and its probability. The Variance of a Discrete Random Variable X. denoted by ox is computed by first subtracting the mean from each possible x value to obtain the deviations, then squaring each deviation and multiplying the result by the probability of the corresponding x value, and then finally adding these quantities. A large value of variance or (standard deviation) means that the dispersion of the random variable is narrowly concentrated around the mean