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We have a system consisting of four components. Each component functions or fails, each independently of the others. The entire system functions if A and B function, along with at least one of C or D. That is, if A or B fail, the entire system fails... but C can fail as long as A, B and D function. Now, suppose A functions with probability 0.8, B functions with probability 0.9, C functions with probability 0.7 and D functions with probability 0.75.
a.) What is the probability that the entire system functions?
b.) If the entire system functions, what is the probability that component C functioned?
If she performs 15 demonstrations this week, what is the probability of her being satisfactory? What is the probability of between 4 and 8 (inclusive) orders?
Test this conjecture with formal hypothesis test, by using a 5% significance level. Find out the p-value for hypothesis test.
Before getting into analyzing the data, let's consider the question of the pros and cons of doctors using ethics consultations with doctors, and other ethicists, trained to think and provide advice on ethical issues in healthcare.
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 370 grams and a standard deviation of 15 grams. Find the weight that corresponds to each event:
Using the finite population correction factor, compute the standard error for each of the three firms given a sample of size 50.
Employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the .02 significance level.
Given a normal distribution with a population mean of 100, a standard deviation of 10 and a sample size of n = 25, what is the probability that X is
the value of 13.0 for sample mean results in null hypothesis not being rejected. That corresponds to confidence interval result of?
We are interested in determining whether or not the variances of the sales at two music stores (A & B) are equal. A sample of 10 days of sales at store A has a standard deviation of 30, while a sample of 16 days of sales from store B has a standar..
Suppose 10 smokers are randomly selected and the number of smokers who started to smoke before the age of 18 is recorded. a) explain why this is binomial experiment.
A local bakery determines that the probability of a customer ordering a blueberry muffin is 50%. 5 customers come into the bakery.
Is it reasonable to compute that the mean of the population is actually $15,000.
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