Problem 7
Suppose the random variable x has a normal distribution with mu _(x)=6 and sigma _(x)^(2)=25. Use the table of
cdf values for the standard normal distribution to find the following probabilities:
7.1. P(6<=x<=12)
7.2. P(0<=x<=8)
Note: You can check your answers using the error function erf, available in MATLAB or in your
calculator. For a random variable x with distribution N(mu _(x),sigma _(x)^(2)),
P(x<=x)=(1)/(2)+(1)/(2)erf((x-mu _(x))/(sqrt(2)sigma _(x))).
Problem 7
Suppose the random variable X has a normal distribution with x =6 and o2= 25. Use the table of cdf values for the standard normal distribution to find the following probabilities:
7.1.P(6<X<12)
7.2.P(0X8) Note: You can check your answers using the error function erf, available in MATLAB or in your calculator. For a random variable X with distribution N(x,)
1 PX<=
2
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