A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.46, 0.41, 0.09, and 0.04, respectively.

Question 1          Provide an appropriate response. Round to the nearest hundredth.

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.46, 0.41, 0.09, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

Question 2          Find the mean, μ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.

n = 676; p = 0.7

Question 3          Determine whether the given procedure results in a binomial distribution. If not, state the reason why.

Choosing 4 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen.

Question 4          Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.

n = 64, x = 3, p = 0.04

Question 5Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.

Image: Test 3 – Probability Distribution

Question 6          Identify the given random variable as being discrete or continuous.

The height of a randomly selected student

Question 7          Find the mean of the given probability distribution.

The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled.

Question 8          Find the indicated probability. Round to three decimal places.

A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Question 9          Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.

n = 48; p = 3/5

Question 10 Find the indicated probability.

A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?

Question 11Provide an appropriate response.

A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $8000 with a probability of 0.3. What is the expected profit?

Collepals.com Plagiarism Free Papers

Are you looking for custom essay writing service or even dissertation writing services? Just request for our write my paper service, and we'll match you with the best essay writer in your subject! With an exceptional team of professional academic experts in a wide range of subjects, we can guarantee you an unrivaled quality of custom-written papers.

Get ZERO PLAGIARISM, HUMAN WRITTEN ESSAYS

Why Hire Collepals.com writers to do your paper?

Quality- We are experienced and have access to ample research materials.

We write plagiarism Free Content

Confidential- We never share or sell your personal information to third parties.

Support-Chat with us today! We are always waiting to answer all your questions.