Question

a judge in trafficcourt settles many disputes each day. the length of time she spends ruling on a case is uniformly distributed with a mean of 5 minutes and a what are parameters and the distribution of the length of time university, the average score of the entering class on the verbalvariance of 4 minutes. she spends on each case?

Answer 1

The random variable X represents the length of time it takes for a particular type of criminal trial, with a mean of 21 days and a standard deviation of 7 days. The probability that a randomly chosen trial lasted at least 24 days is approximately 0.3336. The average duration of 60% of all trials of this type is within 22.77 days.

Step-by-step explanation:

The random variable X represents the length of time it takes for a particular type of criminal trial. The distribution of X is normally distributed with a mean of 21 days and a standard deviation of 7 days.

The mean and standard deviation define the parameters of the distribution. The parameters of the distribution are mean = 21 days and standard deviation = 7 days.

To find the probability that a randomly chosen trial lasted at least 24 days, we can use the z-score formula and the standard normal distribution.


The z-score is calculated as follows:

z = (x - μ) / σ

where x is the value we are interested in (24 days), μ is the mean of the distribution (21 days), and σ is the standard deviation of the distribution (7 days).

Using the z-score, we can find the probability by looking up the corresponding value in the standard normal distribution table. The probability that a trial lasted at least 24 days is approximately 0.3336.

The average duration of 60% of all trials of this type is within 22.77 days.