Mohammed has bought a television from Samsung at a cost of 400 R.O. He has an option of buying an extended service warranty offering 2 years of coverage for 35 R.O. After discussing with his friends and reading reports, Mohammed believes the probabilities of following maintenance expenses could be incurred during the next 2 years. EXpense(R.O) 0 15 30 45 60 75 Probability 22.75a 16.25a 65a 7.8a 5.2a 3.25a a.find tha value of a. b.find the expected value of the anticipated maintenance cost. c.find E(65x-8) d.find V(65x+7)
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!
Mohammed has bought a television from Samsung at a cost of 400 R.O. He has an option of buying an extended service warranty offering 2 years of coverage for 35 R.O. After discussing with his friends and reading reports, Mohammed believes the probabilities of following maintenance expenses could be incurred during the next 2 years.
|
EXpense(R.O) |
0 |
15 |
30 |
45 |
60 |
75 |
|
Probability |
22.75a |
16.25a |
65a |
7.8a |
5.2a |
3.25a |
a.find tha value of a.
b.find the
c.find E(65x-8)
d.find V(65x+7)
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