The random variable X follows a normal distribution ?(20, 102).Find P(10 < ? < 35),

Dillard 2021-01-15 Answered

The random variable X follows a normal distribution ?(20,102).
Find P(10<?<35),

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lobeflepnoumni
Answered 2021-01-16 Author has 99 answers
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 "bell shaped" distribution (and that is where the "Bell-Curve" 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: XN(μ=20,σ2=102)
Step 2
We need to compute Pr(10X35).
The corresponding z-values needed to be computed are:
Z1=X1μσ=102010.1=0.9901
Z2=X2μσ=352010.1=1.4851
Therefore, we get:
Pr(10X35)=Pr(102010.1Z352010.1)=Pr(0.9901Z1.4851)
=Pr(Z1.4851)Pr(Z0.9901)=0.93120.1611=0.7702
Pr(10X35)=0.7702
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Jeffrey Jordon
Answered 2021-11-14 Author has 2313 answers

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Linear multivariate recurrences with constant coefficients
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Moreover, is their any method for solving recurrences in several variables, when the recurrence goes only by one of the variables? E.g., recurrences like this:
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