Question no 1:

a)The chances that a student will get 7 marks out of 10 in first attempt of a statistics Quiz while attempting Quiz in campus is 40%. Suppose that 20 students are selected at random then find a probability that

i)Exactly 12 students will get 7 marks out 10 in the Quiz.

ii)Fewer than 10 students will get 7 marks out 10 in the Quiz.

iii)At least 5 students will get 7 marks out 10 in the Quiz.

b)On average, number of road accidents occurring at highway is 5 per day. Find a probability that number of accidents will be,

i) at least 12 accidents per day.

ii) almost 9 accidents per day.

Question 2:

Each month, a Pakistan household generates an average of 19 pounds of garbage. Assuming the variable is normally distributed and the standard deviation is 5 pounds. If a household is selected at random, find the probability of its generating:

a)Between 18 and 21 pounds per month.

b)More than 25.6 pounds per month.