Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 6 days. Part (a) In words, define the random variable X. the mean time of all trials the number of trials that last 24 days the length, in days, of a criminal trial the length, in hours, of a criminal trial Part (b) Give the distribution of X. X ~ , Part (c) If one of the trials is randomly chosen, find the probability that it lasted more than 27 days. (Round your answer to four decimal places.) Sketch the graph. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Write the probability statement. P Part (d) 64% of all trials of this type are completed within how many days? (Round your answer to two decimal places.) days

Піf x = y and y= z, which statement must be true? оа. -x = -2 b. x= z ос. —x = 2 od. 2= x

Four equations are shown below.equation 1: y=2*equation 2: y=2x-5equation 3: y=x2 + 6equation 4: tdentify one linear equation and one nonlinear equation from the list.why each equation you identified is linear or nonlinear.nd one nonlinear equation from the list. state a reasonlinear equation

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)