I need solve this questions of IE230-Probability and Statistics in Eng. I

In 'nsforch sin or nll assi ed frA ' t2 For Question 2 you will need your personally assigned variance (6:) to solve the question. The summation Variance (02) Probability density function at) and range Rs 3 Less than or {(x) = ix - x2), Rx:0 S x S 3 equal to 7 3 \"1) = mass: - x2).Rx=0 s x s 6 More than 7 Question 2. Normal Distributions |45 mints| It is known that amounts of money spent (X) on books in a year by students is normally distributed random variable with mean [.1 = 325 KWD and variance 0'2 (KWD). Answer the following questions using your personally assigned value of o". (3) Find the probability that the amount of money spent on books is less than 380 KWD. Use the Minitab to answer the question. Write the steps needed in Minitab and copy the Minitab output here. [10 points] (b) Find the probability that the amount of money spent on books is between 310 and 390 KWD. [10 points] (c) What proportion of the students are spending either less than 300 KWD or more than 400 KWD? [10 points] ((1) Determine the symmetric interval around the mean within which is 85% of X. [15 points]