iv. Use six letter word to explain and illustrate the differences between permutations and combinations. Give an example where the distinction between permutations and combinations is crucial
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
part (i), (ii) and (iii) is already answered.
could you answer part (iv) only
i. Two six-sided dice are rolled and the scores added together. Draw the
probability density function by hand.
ii. What is the probability that the number obtained on one of the dice is
a multiple of a number obtained on the other dice? What is the
probability of doubles (1,1, 2,2. etc)?
iii. A weekly lottery with numbers 1-49 has come up with the numbers
2,4,6,8,10 and 20,25,30,35,40 over the last month. There have been
claims of fraud and the organisers are worried as ticket sales are down.
Write a short paragraph on the issue giving views based on your
knowledge of probability.
iv. Use six letter word to explain and illustrate the differences between permutations and combinations. Give an example where the distinction between permutations and combinations is crucial.
Step by step
Solved in 2 steps
