I already have the proper answers; however, could you please assist me in explaining each number (Part 1 to Part 3)?

PART 1. The table below shows the values of ripe mangoes and the number of occurrences of each value of the random variable. Determine the probability of the following values of the random variable R. Kindly refrain from answering too short, please be detailed. I want to understand it.

Number of Ripe Mangoes (Values of R)	Number of Occurrence (Frequency)	Probability P(R))
3	1
2	3
1	3
0	1
Total	8

If three mangoes are taken one after the other from a basket which contain 10 ripe and 4 unripe mangoes.

1. What is the probability that you will get 3 ripe mangoes?
2. What is the probability that you will get 2 ripe mangoes?
3. What is the probability that you will get 1 ripe mango?
4. What is the probability that you will not get ripe mango?
5. How did you determine each of the probabilities?

PART 2. Kindly refrain from answering too short, please be detailed. I want to understand it.

1.) The probabilities that a traffic inspector will discover violations of the Traffic Code in Manila City are given in the following table.

Number of Violations (X)	Probability P(X)
0	0.41
1	0.22
2	0.17
3	0.13
4	0.05
5	0.02

1. Solve for the mean and variance.
2. Interpret the mean and the variance of the problem.

2.) The following data show the probability distribution of the number of Android Cellular Phones sold daily in the Inday CP Shop during the past several months.

Number of Android Phones (X)	Probability P(X)
0	0.10
1	0.20
2	0.45
3	0.15
4	0.05
5	0.05

1. Find the mean and variance of the probability distribution.
2. Interpret the mean and the variance of the problem.

PART 3. Fill in the blanks of the following statements.

1. The mean of the probability distribution of the number of personal computers sold daily in the PC World Shop is 2. This implies that in the________, we expect that the _________of personal computers that will be sold in PC World Shop will be _________.
2. The variance of the probability distribution of the number of personal computers sold daily in the PC World Shop is 1.40. This implies that the distribution of the random variable is narrowly concentrated around the ________ since our variance is ____________.
3. The standard deviation of the probability distribution of the number of personal computers sold daily in the PC World Shop is 1.18. This implies that on the _________, the number of personal computers sold daily is ______ from the mean of ___________.