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Please use R to answer and show R code. Random variable X is drawn from a...

Please use R to answer and show R code.

Random variable X is drawn from a normal distribution with mean 5.44 and std dev 2.54.

Calculate the probability of X being less than 3.29.

What is the probability of X exceeding 4.61?

What is the probability of X lying between 5.79 and 7.8?

Verify your answers to parts 1 2 and 3 above using numerical sampling (please do this one!)

Math   Statistics-And-Probability   
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numerical result correct upto 3 decimal place.

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