Reference no: EM132846881

Question 1:

Suppose a sample space has things a, b, and c. Twice, draw from the sample space and replace. The possible sequences formed are (aa, ab, ac, ba, bb, bc, ca, cb, cc) Now suppose there are Y different things. There are Y ways the first draw can occur. For each of the Y ways the first draw can occur, there are Y ways the second draw can occur, resulting in Y times Y, or Y2 sequences. For each of the Y2 sequences formed from 2 draws, there are Y ways the 3rd draw can occur forming y3 sequences. Generalizing, there are yX sequences formed by drawing X times from Y different things with replacement.

Example: the number of state license plates that can be made with 3 letters followed by 3 numbers is 26x26x26x10x10x10 = 26 3 x 10 3 = 17,576,000. From this one style of plate, there are many sequences.

How many sequences of 4 things can be formed from 8 different things with replacement and order is important?

Question 2:

The probability that will be throw boxcars (two 6's) with one throw using 2 dice is obtained by taking the ratio of number outcomes that will be throw boxcars and total number of samples.

A) 0.330

B) 0.170

C) None of the other answers are correct.

D) 0.028

Question 3:

If P(A and B) = 0, A and B are mutually exclusive. Otherwise, A and B occur jointly

P(A) = 0.220

P(B) = 0.330

P(A and B) = 0.190

P(C) = 0.200

Compute the probability of event A and B and enter your answer with 3 decimal places.

Question 4:

Let's assume we know that 1% of adults over the age of 60 have lung cancer, that 90% of adults who have lung cancer will test positive (called a true positive), and that 8% percent of adults that do NOT have lung cancer will also test positive (called a false positive). What is the probability of actually having lung cancer if an adult tests positive for lung cancer?

A) 0.10

B) 0.90

C) None of the answers are correct.

D) 0.08

E) 0.01

Question 5:

Given a survivor of the Titanic is a man, what is the probability rounded to the nearest whole percent the survivor was a second class passenger based on Titanic Survival data.

A) None of the answers are correct.

B) 5%

C) 10%

D) 4%

E) 6%

Question 6:

According to the empirical rule, if the data form a "bell-shaped" normal distribution, approximately 95 percent of the observations will be contained within -2 and +2 standard deviations around the arithmetic mean.

A) 68.3

B) None of the answers are correct.

C) 99.7

D) 75.0

E) 95.0

Question 7:

Based on the empirical rule (also called 65-95-99.7 rule), what part of all possible values occur between -3 and +1standard deviations

A) None of these answers are correct.

B) 95%

C) 68%

D) 83.85%

E) 99.7%

Question 8:

For a normal distribution with a mean of 232 and a standard deviation of 37, what is the z value (distance from the mean in standard deviation) for a random value of 138? (Use two decimal digits)

Question 9:

A manufacturing process with acceptance limits 100 ± 3. A RECENT SAMPLE PRODUCED THE MEASUREMENTS IN FILE DATA. ASSUMING NORMAL DISTRIBUTION, WHAT PRECENTAGE OF THE POPULTATION DOES NOT MEET THE ACCEPTANCE LIMITS?

A) 0.81%

B) 0.14%

C) 0.67%

D) 0.46%

Question 10:

A manufacturing process produces auto tires. A sample of the miles at replacement is recorded in data. At what mileage should the warranty be set at for warranty replacement of 0.5% of the tires?

A) 47359

B) 44075

C) 36978

D) 38772

Question 11:

A sample of 121 randomly selected students, found that the proportion of students planning to travel home for Thanksgiving is 0.67. What is the standard deviation of the sampling distribution? Round to 3 decimal digits.