based on the data given in the attached dataset, solve the following questions:

1. Let Z represent the average monthly fuel consumption in liters. Calculate the probability distribution of Z and find the probability that a randomly selected household consumes between 20 and 50 liters of fuel per month.2) Define a random variable W representing monthly fuel spending by households. Calculate the probability distribution of W and determine the probability that a randomly selected household spends more than 3000 INR on fuel monthly.

2. Let W represent spending on fuel. Calculate the conditional distribution of W given that a household consumes Petrol. Determine the probability that a household using Petrol spends more than 3000 INR monthly on fuel.

3. Let X and Y represent the number of people and the monthly spending on fuel in a household, respectively. Determine the joint probability distribution P(X,Y) and find the probability that a household has 4 people and spends more than Rs. 7000. Compute the marginal distribution of X and Y, and find the marginal probability that a household spends exactly Rs. 5000 monthly.