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Using MATLB If a random variable X is distributed normally with zero mean and unit standard deviation, the probability that 0 X x is given

Using MATLB

If a random variable X is distributed normally with zero mean and unit standard deviation, the probability that 0 X x is given by the standard normal function(x). This is usually looked up in tables, but it may be approximated as follows:

(x)=0.5r(at +bt2 +ct3),

where a = 0.4361836, b = 0.1201676, c = 0.937298, r = exp(0.5x2)/2, and t = 1/(1 + 0.3326x).

Write a function to compute (x), and use it in a program to write out its values for 0 x 4 in steps of 0.1. Check: (1) = 0.3413.

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7.6 If a random variable X is distributed normally with zero mean and unit standard deviation, the probability that 0 s X 3x is given by the standard normal function (x). This is usually looked up in tables, but it may be approximated as follows: -ra where a = 0.436 1836, b =-0. 120 1676, c-0.937298, r = exp(-0.5x2)N2T, and t 1/(1 + 0.3326x). Write a function to compute (x), and use it in a program to write out its values for 0 x-4 in steps of 0.1. Check: (1) = 0.3413

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