Assignment:
Show all steps using the formula : p1 +p2 + pn = 1
Find the probability distribution of the value x. mean variance and standard derivation.
Q1. Two dice are rolled . x is the sum of numbers on the top faces.
Q2. Five cards are randomly selected from a standard deck.
x is the number of aces in the sample.
Q3. It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
Q4. The probability that a new car is damaged is 0.02. 400 cars are being inspected . What is the probability that the number of damaged cars in the sample is :
a. 0
b. 2
c. more than 2
Provide complete and step by step solution for the question and show calculations and use formulas.