two companies a and b fabricate steel beam. when subjected to a 10 km point load test, 40% if a's beam fail and 10% of b's beam fail. two beams from one of the two companies are tested. if it is equally likely that the beams come from either company:
a) what is the probability that the first beam fails?
b) if the first beam fails, what is the probability that it is from company a?
c)what is the probability that both beams will fail?
d) if the first beam fail, what is the probability that the second beam will fail?
e) let X be the number of beams that fail the test. Let p(x) be the PMF for X.
1. what is p(0)?
2.what is p(1)?
3.what is E(X)?
4 what is VAR(X)?
two companies a and b fabricate steel beam. when subjected to a 10 km point load...
. Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. A number of samples of material from are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, (n = 25) the sample mean and standard deviation of wear are 130 and...
Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing Ho: p=0.5 versus Ha: p?0.5 based on a random sample of 25 individuals. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of X. a) Describe type I and type II errors in the...
Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing H0: p = .5versus Ha: p ≠ .5 based on a random sample of 25 individuals. Let X denote the number in the sample who favor the first company and x represent the observed value of X. a. Which of the following rejection regions is most appropriate...
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How do you find rejection regions? Here's the question: Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing H_0: p =0.5 vs. H_a: p != 0.5 based on a random sample of 25. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of...
How do you find rejection regions? Here's the question: Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing H_0: p =0.5 vs. H_a: p != 0.5 based on a random sample of 25. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of...
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