Please please help me with all parts, have due tomorrow! Thank you so much!

Q 1.

X N N(60, 14). Suppose that you form random samples of 25 from this distribution. Let )7 be the random variable of averages. Let 2X be the random variable of sums. El Part (a) Sketch the distributions of X and )7 on the same graph. 040 50 60 70 80 040 50 60 70 80 040 50 60 70 80 040 50 60 70 80 Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) Part (c) Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X