1. Linda owns a small business. Use the probability distribution below, where X represents the number of employees who call in sick on a given day. (2 points each)

Number of Employees Sick 0 1 2 3 4
P(X = x) 0.05 0.45 0.15 0.1

a. P(X = 2) is ______________________
b. The expected value (Mean) of the number of employees calling in sick on any given day is ____________________
c. The standard deviation for the random variable X is __________________

2. According to the Information Please Almanac, 6% of the human population is blood type O-negative. A simple random sample of size 4 is obtained, and the number of people X with blood type O-negative is recorded. (Binomial) 2 points each

a. The probability that exactly 3 out of 4 have blood type O-negative is ____________
b. The expected value (Mean) is ____________________
c. The standard deviation is ___________________

3. The number of chocolate chips in an 18-ounce bag of Chips Ahoy! Chocolate chip cookies are approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips. ( 2 points each)

a. The probability that a randomly selected 18-ounce bag of Chips Ahoy! Cookies contains between 1000 and 1400 chocolate chips is ___________________

b. The probability that a randomly selected 18-ounce bag of Chips Ahoy! Cookies contains fewer than 1000 chocolate chips is _____________________

c. The proportion that 18-ounce bags of Chip Ahoy! Cookies contain more than 1400 chocolate chips is _____________________

d. How many chocolate chips does an 18-ounce bag of Chips Ahoy! Chocolate chip cookies need to place in the top 3% of the distribution? _____________________

e. What is the percentile rank of an 18-ounce bag of Chip Ahoy! Cookies that contains 1475 chocolate chips? ____________________________

Suppose that a probability distribution has a mean 20 and standard deviation 3. The Chebychev inequality states that the probability that an outcome lies between 16 and 24 is:
a. less than 7/16
b. at least 7/16
c. at most 1/4
d. at least 1/4
e. none of the above

1. T F The only type of research in a business setting is applied research.
2. T F The ultimate purpose of basic research and applied research are identical..
3. A needs assessment may include the following types of data:
(a) Qualitative
(b) Quantitative
(c) Discrete
(d) Continuous
(e) All of the above
4. T F

What is an example of a research problem at your organization that would benefit from the use of either descriptive statistics or probability distribution statistics? Explain.

Jill wants to do her MBA in Statistics at a B.C. university. She applies to two universities that offer post-graduate degrees in Statistics. Assume that the acceptance rate at University A is 25% and at University B is 35%. Further assume that acceptance at the two universities are independant events.
A) What is the probability

Dr. Stallter has been teaching basicstatistics for many years. She knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do not do their homework, 60 percent will pass. Mike Fishbaugh

A normal distribution has a mean of 50 and a standard deviation of 4.
a-compute the probability of a value between 44.0 and 55.0.
b-compute the probability of a value greater than 55.0.
c-compute the probability of a value between 52.0 and 55.0

The U.S. Bureau of Labor Statistics collected data on the occupations of workers 25 to 64 years old. The following table shows the number of male and female workers (in millions) in each occupation category (Statistical Abstract of the United States: 2002)
(see chart in the attached file)
a. Develop a joint probability tab

1. Suppose that the monthly worldwide average of airplane crashes of commercial planes is 2.0.
(a) What is the probability of exactly 6 crashes in the first 3 months?
(b) What is the probability of having exactly 2 crashes in each of the first two months?
(c) What is the probability of having exactly 2 crashes in the each of