Please please help with all parts. Thank you so much!

Q 1.

a,b

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 25 days and a standard deviation of 6 days. Part (a) In words, define the random variable X. the number of trials that last 25 days the length, in days, of a criminal trial the mean time of all trials O the length, in hours, of a criminal trial Part (b) Give the distribution of X.If one of the trials is randomly chosen, nd the probability that it lasted more than 28 days. (Round your answer to four decimal places.) Sketch the graph. 0 00 0 10 20 3O 40 50 O 0 10 20 3O 40 50 10 20 3O 40 50 O 0 10 20 3O 40 50 Write the probability statement. P( ) 80% of all trials of this type are completed within how many days? (Round your answer to two decimal places.) days eBook erri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. In words, dene the random variable X. 0 the time (in seconds) per lap O the time (in seconds) per race 0 the distance (in miles) of each lap O the distance (in miles) of each race Give the distribution of X. >