Homework 3 Specific Instructions: Recording numerical answers: . Report z-scores

Question

Homework 3 Specific Instructions: Recording numerical answers: . Report z-scores and observed values to the nearest 2 decimal places. . Report final probability as a proportion (NOT a percent) to the nearest 4 decimal places . Always enter only the number in Blackboard. For example, if your answer is $300 then enter only 300 in Blackboard. If your answer is the 70th percentile, enter only 70 in Blackboard , 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 I), the random variable, Y, represents the possible istributions. Suppose a randomv 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? (d) What is the shape of the distribution for the random variable Y? (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 r? (h) What is the value of the mode for the random variable X? (1) Free response submission. For each of the variables X and Y identify whether they are discrete or continuous and explain why

Explanation / Answer

Answer:

a) X can take values from -infinity to 55 to + infinity

b) Random variable Y will take a uniform shape

c) Random variable X is normally distributed - gaussian shape

d) standard deviation for random variable Y is

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