The random variable X follows a normal distribution ?(20,102). Find F∈dP(?&gt;30),

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The random variable X follows a normal distribution ?(20,102).  Find F∈dP(?&amp;gt;30),

Brighton · Accepted Answer

Step 1  Normal probability is a type of continuous probability distribution that can take random values on the whole real line. The main properties of the normal distribution are:  -It is continuous (and as a consequence, the probability of getting any single, specific outcome is zero)  -It has a &quot;bell shaped&quot; distribution (and that is where the &quot;Bell-Curve&quot; name comes along)  -The normal distribution is determined by two parameters: the population mean and population standard deviation  -It is symmetric with respect to its mean.  Given :  The random variable X follows a normal distribution .   Notation: X∼N(μ=20,σ2=102)  Step 2  We need to compute Pr(X≥30).  The corresponding z-value needed to be computed is:  Z=X−μσ=30−2010.1=0.9901  Therefore, we get that   Pr(X≥30)=Pr(Z≥30−2010.1)=Pr(Z≥0.9901)  =1−0.8389=0.1611  Pr(X≥30)=0.1611

Jeffrey Jordon · Accepted Answer

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The random variable X follows a normal distribution ?(20, 102). Find Find P(? > 30 ),

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