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New spark plugs have just been installed in a small airplane with a four-cylinder engine. For each spark plug, the probability that it is defective and will fail during its first 20 minutes of flight is 1/10,000, independent of the other spark plugs.
a. For any given spark plug, what is the probability that it will not fail during the first 20 minutes of flight?
b. What is the probability that none of the four spark plugs will fail during the first 20 minutes of flight?
c. What is the probability that at least one of the spark plugs will fail?
According to Catalyst, 14.3% executive positions in Fortune 500 companies are occupied by women in 2012. A random sample of 180 Fortune 500 executives was selected. What is the probability that 20% or less of this sample were women?
The following indices: z, t, F, r, Chi square. Using the data below, show that analyses using each of the three statistics yields the same or similar outcomes.
find two values of the normal random variable with mean 73 and standard deviation 8 lying symmetrically on either side
For each sex, determine the median response.- Do you think there's a "significant" difference between the weekly amount that men and women exercise? Explain.
use a .05 significance level to test the claimignificance level to test the claim that paired sample data below come
a manufacturing company wants to investigate the product coming out of two machines has a similar diameter or not. it
Provide an example of a hypothesis test you could perform at work or at home. State what the Null and the Alternative hypotheses would be in your test.
The control of a high-speed steel-rolling mill is a challenging problem. The goal is to keep the strip thickness accurate and readily adjustable. The model of the control system is shown in Figure DP9.8.
Define the experiment the clerk conducted. List the experimental outcomes. Assign probabilities to the experimental outcomes. What method did you use?
(a) Prove that any intersection of topologies on a set is a topology. (b) Prove that for any collection U of subsets of a set X , there is a smallest topology on X including U , using part (a) (rather than subbases).
Suppose X is a Poisson random variable with PMF,- k = 0,1,2.... - Find the Chernoff bound for the tail probability.
Estimate surface runoff flood hydrograph if a 3-hr-storm excess rainfall temporal pattern is assumed as (2+R/10), (6+R/10) and (4+R/10) cm during each hour time step respectively.
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