![]() ![]() For the standard normal, probabilities are computed either by means of a computer/calculator of via a table. We will see later how probabilities for any normal curve can be recast as probabilities for the standard normal curve. 9974 9974 9975 9976 9977 9977 9978997999799980. The standard Normal curve The standard Normal curve is the normal curve with mean 0 and standard deviation 1. The normal distribution is a persistent probability distribution. 9817 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 9861 9864 986898719875 9878 9881 9884 9887. The standard normal distribution table gives the probability of a regularly distributed random variable Z, whose mean is equivalent to 0 and the difference equal to 1, is not exactly or equal to z. ![]() This table contains cumulative probabilities: P (Z z). Standard Normal Probabilities Table entry for is the area under the standard normal curve to the left of 8078 2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0. between negative infinity and Z).Transcribed image text: Using the Standard Normal Table (ZTable.pdf) from the online lectures this week, what is the area under the standard normal curve: This table gives a probability that a statistic is less than Z (i.e. Note that for z = 1, 2, 3, one obtains (after multiplying by 2 to account for the interval) the results f( z) = 0.6827, 0.9545, 0.9974, If X is a random variable from a normal distribution with mean μ and standard deviation σ, its Z-score may be calculated from X by subtracting μ and dividing by the standard deviation: ![]()
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