01 Oct 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?
