a. Which of the following is a characteristic of a Bernoulli process? Circle one.
a. In each trial, there are just two possible outcomes.
b. The probability of a success remains the same from one trial to the next.
c. There are two or more consecutive trials.
d. The trials are statistically independent.
e. All of the above are characteristics.
b. Probabilities typically fluctuate between -1 and +1. True False
a The mean of the Standard Normal Distribution = _______________
d. A discrete data distribution used to describe a population of binary variable values is called the:
a. Poisson Distribution
b. Exponential Distribution
c. Bernoulli Distribution
d. Central Limit Theorem
e. The sum of all probabilities =
BONUS: The following type of graphic is called a diagram
e. If The University of Alabama will provide full tuition scholarships to the students who have the top 2% of the scores in the country, what must a student score in order to get a full tuition scholarship? Show all work and draw the picture. (8)
5. Suppose that adult weight is 175 pounds with a standard deviation of 25 pounds and follows a normal distribution. So, Adult Weight-Normal (p = 175 pounds, a = 25 pounds)
What is the probability that the average weight of a random sample of 4 people who get on the elevator will be less than 150 pounds? Think about the distribution of X (X-bar). Show all work and draw the picture.
4. Student scores on the Scholastic Aptitude Test (SAT) follow a distribution that is normally distributed with an overall mean of 500 and a standard deviation of 100.
a. Complete the following distribution statement: X = Student scores on the Scholastic Aptitude Test (SAT)
X (Pr' .a= (3)
b. Drawing a picture of the distribution is sometimes helpful for these types of problems. In the picture below, label the mean as p and show one (1) standard deviation away from the mean in both directions -label these as +1c and -1a.
c. What proportion of students score less than 620? Show all work and draw the picture. (8)
d. What proportion of students score between 620 and 740? Show all work and draw the picture.
d. For the next ten passengers, find the probability that at least two passengers will be no-shows.
e. For the next ten passengers, find the probability that exactly five passengers will be no-shows.
f. For the next ten passengers, find the probability that more than three but less than seven will be no-shows.
1, In the picture below, which normal distribution(s) (A, B. C) has the largest mean?
2. In the picture above, which normal distribution(S) (A. B. C) has the smallest variance? (4)
3. John Flyalot is an airline executive in Dallas, TX that is interested in no-shows of passengers and his company's overbooking processes. He believes that 10% of passengers fall to show up for flights. These passengers are also known as 'no-shows.' John MI examine ten passengers and investigate their failure to show up for flights.
a. Define the distribution of the passengers that fail to show up for a flight.
Y = Number of passengers that fail to show up for a flight
b. Determine the mean for the distribution in part a.
c. Determine the standard deviation for the distribution in part a.
Attachment:- FORMULA SHEET.rar