1. Probability Distributions. Suppose a random variable, X, follows a Normal dis
ID: 3304849 • Letter: 1
Question
1. Probability Distributions. Suppose a random variable, X, follows a Normal distribution. Specifically, x ~N(55, = 2.3). Now, suppose we are going to roll a fair pentagonal trapezo- hedron die once (the die starts at a value of 1), the random variable, Y, represents the possible values we observe on the upper-most face of the die. (a) What values can be observed from the random variable X? (b) What values can be observed from the random variable Y? (c) What is the shape of the distribution for the random variable X? (a) What is the shape of the distribution for the random variable (e) What is the value of the standard deviation for the random variable X? (f) What is the total area under the density curve for the random variable X? (g) 50% of the values are above and below what number for the random variable Y? (h) What is the value of the mode for the random variable X? (6) Free response submission. For each of the variables X and Y identify whether they are discrete or continuous and explain why.Explanation / Answer
a. x is continuous.it can take any real value
b.it is discrete.it can take value 1,2,3,4,5...10.
c.it is bell shaped continuous symmeric mesocurtic
d.it is uniformly discontinuous
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