The force acting on a column of a building has a normal distribution with mean 15kips and standard deviation of 1.25kips. The probability that the force is at most 18kips is: a) 0.9820 b) 0.0081 c) 0.9918 d) 0.0179
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!
1. The force acting on a column of a building has a
a) 0.9820
b) 0.0081
c) 0.9918
d) 0.0179
2. Suppose that the life time (measured in months) of an AA size battery and brand “put your batteries”, is a random variable with gamma distribution of parameters alpha = 1 and beta = 5. The probability that such a battery will last at least seven months is:
a) 0.2466
b) 1/10
c) 1/5
d) 0.7534
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