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1. The women and Children's hospital has a lab which is heavily secured as it contains many animals for scientific testing. In a particular lab, there are two sets of genetically identical mice (type A and type B). Of these mice, 35% are type B. Half of the type A mice have been infected with osteomylitis. Only a quarter of the type B mice have been infected. The cleaning lady wanted to clean out the cages and put all the mice in a single cage.
a) You select a mouse randomly. What is the probability that it is a type A mouse with osteomylitis?
b) What is the probability that a mouse selected at random does not have osteomylitis?
d) Are the events Type A and Has Disease independent? (iustifv)
c) Three mice were selected at random. What is the probability that at least one of them is type A?
2. A forensics researcher investigating a crime scene must collect blood samples left at the crime scene (the culprit has left the scene). Among other things she wishes to identify if any alcohol had been consumed prior to the crime. Alcohol is not distributed evenly through the circulatory system. The amount of alcohol found in blood samples follows a Normal distribution. For the individual in question, the mean alcohol level is 0.076 with standard deviation 0.018. The investigator gets 12 samples of blood.
a. What is the model for the sample mean? Be sure to specify the parameters and to justify your answer.
Suppose we wish to use the results of this survey to justify the claim that more than 70 percent. Calculate the probability of observing a sample proportion of .75 or more. That is, calculate P( pˆ > .75).
The distribution of chi-square values is NOT normally distributed. True or False
A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed. At a = 0.01, what are the critical X²
Find the mean and the standard deviation of the round-off error. Find the probability that the round-off error will be within one standard deviation of the mean.
The AMS technical services department has embarked on a quality improvement effort. Its first project relates to main- taining the target upload speed for its Internet service sub- scribers. Upload speeds are measured on a standard scale
Assume Z is a random variable with a standard normal distribution ( the is, a mean =0 and a standard deviation of 1). What is P(Z -0.5) ?
Please use QM for Windows to solve the problem given below. A multiple-server queuing system with an infinite calling population and a first-come, first-served queue discipline has the following arrival and service rates:
Calculate the percentage of variance explained for r = 0.53. Is this correlation clinically important and what is the r value listed for the relationship between variables 4 and 9?
Customers arrive at an automated coffee vending machine at a rate of 3 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 15 seconds.a. What is the average number of people waiting in line?
How large a sample of sales figures is needed to make us 95 percent confident that x, the sample mean sales dollars per square foot?
If 25 percent of the discount chain's employees have a management position, what percentage of the discount chain's female employees have a management position?
Internet and the articles database in the library for a real-life illustration of simulation. For hint, type the word "Simulation" followed by a topic of interest to you. Carefully review the search item.
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