Suppose that the duration of a particular type of criminal trial is known to be normally...

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places unless instructed otherwise.

a. What is the distribution of X? X ~ N( , )

b. If one of the trials is randomly chosen, find the probability that it lasted at least 14 days.

c. If one of the trials is randomly chosen, find the probability that it lasted between 20 and 25 days.

d. 90% of all of these types of trials are completed within how many days? (Please enter a whole number)

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose that the duration of a particular type of criminal trial is known to be normally...

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one of the trials is randomly chosen, find the probability that it lasted at least 13 days....

Suppose that the duration of a particular type of criminal trial is known to be normally...

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(___,___) b. If one of the trials is randomly chosen, find the probability that it lasted at least 15 days....

The lifespan of a particular type of robotic arm is known to be normally distributed with...

The lifespan of a particular type of robotic arm is known to be normally distributed with a mean of 17 months and a standard deviation of 3 months. Suppose that eight robotic arms are selected at random. What is the probability that exactly four out of the eight robotic arms will have a lifespan which is less than 16 months

A certain test for a particular type of cancer is known to be 95% accurate. A...

A certain test for a particular type of cancer is known to be 95% accurate. A person takes the test and the results are positive. Suppose the person comes from a population of 100,000 where 2000 people suffer from that disease. What if the person takes a second test and result is still positive, what can we conclude about his odds of having cancer?

The life in hours of a certain type of lightbulb is normally distributed with a known...

The life in hours of a certain type of lightbulb is normally distributed with a known standard deviation of 10 hours. A random sample of 15 lightbulbs has a sample mean life of 1000 hours. What would the 99% lower-confidence bound L on the mean life be, rounded to the nearest integer?

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic.a. How many jurors would you expect to be Hispanic? - 4.8b. The select process produces a jury with 3 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) - .25c. Use the binomial distribution and find the probability...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 60% Hispanic. a. How many jurors would you expect to be Hispanic? b. The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) c. Use the binomial distribution and find the probability that...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 50% Hispanic. a. How many jurors would you expect to be Hispanic? b. The select process produces a jury with 2 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) c. Use the binomial distribution and find the probability that...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are...

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 60% Hispanic. a. How many jurors would you expect to be Hispanic? b. The select process produces a jury with 3 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) c. Use the binomial distribution and find the probability that...

The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 400...

The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 400 hours and a standard deviation of 10 hours. What percentage of the bulbs have lifetimes that lie within 2 standard deviations to either side of the mean? Use the Empirical Rule and write your answer as a percent rounded to 2 decimal places.

Subjects