What percent of the total area is found between the points z = - 1.63 and z = 0 under the standard normal curve? a) 44.84 B) 44.52 NS) 42.36 D) 28.57 TO) 45,5
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!
16What percent of the total area is found between the points z = - 1.63 and z = 0 under the standard normal curve? |
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A normal distribution follows a bell shaped curve which is centred at the mean and it is also called Gaussian distribution. The normal distribution with 0 mean and 1 standard deviation is called standard normal distribution.
The relation between a normal random variable x and z-score is , where is mean and is standard deviation of x. The proportion of data that lies in an interval is equal to the area of that interval.
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