Purchase Solution

Stats Probability problems

Not what you're looking for?

Ask Custom Question

1. A committee consists of five Chicanos, two Asians, three African Americans, and two Caucasions.
a) A subcommittee of four is chosen at random. What is the probability that all the ethnic groups are represented on the subcommittee?
b) Answer the question for part (a) if a subcommittee of five is chosen.

2. The game of Mastermind starts in the following way: One player selects four pegs, each peg having six possible colors, and places them in a line. The second player then tries to guess the sequence of colors. What is the probability of guessing correctly?

3. An urn contains tree red and two white balls. A ball is drawn, and then it and another ball of the same color are placed back in the urn. Finally, a second ball is drawn.
a) What is the probability that the second ball drawn is white?
b) If the second ball is white, what is the probability that the first ball drawn was red?

4. A factory runs three shifts. In a given day, 1% of the items produced by the first shift are defective, 2% of the second shift's items are defective, and 5% of the third shift's items are defective. If the shifts all have the same productivity, what percentage of the items produced in a day are defective? If an item is defective, what is the probability that it was produced by the third shift?

5. Here is a simple model of a queue. The queue runs in discrete time (t = 0,1,2...), and at each unit of time the first person in the queue is served with probability p, and independently, a new person arrives with probability q. At time t = 0, there is one person in the queue. Find the probabilities that there are 0,1,2,3 people in line at time = 2.

Purchase this Solution

Solution Summary

The expert examines the probability of guessing correctly.

Solution Preview

1A) (5C1*2C1*3C1*2C1)/12C4 = 60/495 = .1212
<br>1B) (5C1*2C1*3C1*2C1*8C1)/12C5 = 480/792 = .6060
<br>2) N (Correct guesses) = 1
<br> N (Possible Guesses) = 6 X 5 X 4 X 3 = 360
<br> P (Correct Guess) = N (Correct guesses) / N (Possible Guesses) = 1 / 360
<br>Here N means " No of ways"
<br>3) Q3. (a) P (2nd = white) = P (1st = white) + P (1st = red) ...

Solution provided by:
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
Recent Feedback
  • "Your explanation to the answers were very helpful."
  • "What does 1 and 0 means in the repair column?"
  • "Went through all of the formulas, excellent work! This really helped me!"
  • "try others as well please"
  • "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."
Purchase this Solution

Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.