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Consider the system with components as shown below, indicating their failure relationship. The component reliabilities are given in the table below. What is the overall system reliability?
Suppose an influenza epidemic strikes a city. In 10% of families the mother has influenza; in 10% of families the father has influenza; and in 2% of families both the mother and father have influenz
Given ten students, four of which are females, if two students are selected at random, without replacement, what is the probability that both students are female?
One of your company's products, a flux capacitor, is known to have an exponential failure time distribution with a mean of 5 years.
If a gambler rolls two dice and gets a sum of 9, he wins $12, and if he gets a sum of four, he wins $20. The cost to play the game is $5. What is the expectation of this game? show your work.
You bought a new set of tires from the manufacturer who just announced a recall because 12% of those tires are defective. What is the probability that at least one of yours is defective?
You are informed that 72% of cars pass inspection. If the event of your car passing is independent of your friend cars passing, What is the probability of at least one car passing?
listed 3.52 8.87 3.99 3.61 2.33 3.21 0.25 4.94 are weights (in pounds) of glass discarded in one week by randomly selected households (based on data from the Garbage Project at the University of Ar
A mean of 6 minutes and a standard deviation of 1.24 minutes. What cutoff values would seperate the 16% that take the least time to process?
Provide a different example for each of the following types of variables from your work or home life:
Suppose 45 shoppers are interviewd. What is the probability that no more than 28% of shoopers say they are likely to purchase the bags?
Determine if this statistical study is descriptive or inferential: A study finds that the median household income in the US has declined over the last two years.
They select a random sample of 200 people to estimate the percentage of who owns their home. What is the percentage that at least 140 people own their home?
The following question was put on a questionnaire. What was your last salary? What type of data is being requested?
The joint probability function of two random discrete variables X and Y, with natural values (not negative) included zero, is equal to f(x,y) = c (2x +y) if x ε {0, 1, 2} and if y ε
What is the relationship between the Confidence Level and Type I Error?
If a dealer has sold 200 of these cars, what is the approximate probability that it will need to service at most 50 of them?
We know that in one hour the probability of entering 15 clients is 0,031 and in the same period the probability of entering 16 clients is 0,062. Now, calculate the mean of clients entrance in the b
Qestion: Consider the random variable X. Prove that V(X) = E(X2) - E2 (X) [V (X) is the variance of X].
Let X be a random variable with density function Compute P (0.5 < X < 1). Compute F (x) for all x > 0. Find b such that P (X < b) = 0.90.
A researcher is interested in the relationship between fathers' performance in high school and their children's social skills. She obtains the high school transcripts of fathers and records th
Calculate the value of P(X = 2) and P(X <= 5 | X >= 2) [P -> probability]. Calculate the probability function and the probability distribution of X.
Consider throwing 2 usual dice. In each play, we observe the number of dots that stay on top, sum the returned result and to that sum, we apply the rule of casting out nines.
In bernoulli trials (p) let Vn be the number of trials required to produce either n successes or n failures whichever comes first. find the distribution of Vn.
The following results are for two independent samples taken from two populations. What is the value of the test statistic?