Mathematics

Let A and B be sets. Show that a) (A ∩ B) ⊆ A. b) A ⊆ (A ∪ B). c) A − B ⊆ A. d) A ∩ (B − A) = ∅. e) A ∪ (B − A) = A ∪ B please show all your steps

Mathematics, Advanced Math / By

Let A and B be sets. Show that:  (A ∩ B) ⊆ A.  A ⊆ (A ∪ B).  A − B ⊆ A.  A ∩ (B − A) = ∅.  A ∪ (B − A) = A ∪ B. EXPERT ANSWER a) To show that (A ∩ B) ⊆ A, we need to prove that …

Let A and B be sets. Show that a) (A ∩ B) ⊆ A. b) A ⊆ (A ∪ B). c) A − B ⊆ A. d) A ∩ (B − A) = ∅. e) A ∪ (B − A) = A ∪ B please show all your steps Read More »

8-56. Of 1000 randomly selected cases of lung cancer, 823

Mathematics, Probability and Statistics / By

8-56. Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. (a) Calculate a 95% two-sided confidence interval on the death rate from lung cancer. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true …

8-56. Of 1000 randomly selected cases of lung cancer, 823 Read More »

W Muue The school of Industrial Engineering and Management would like to add a module into the curriculum to help students increase their scores. Scores of 10 random students collected before and after the module is applied are shown below: Student Pre – module score Post-module score 77 80 70 73 75 a. At 5% level of significance, should the school still add the module in the curriculum? b. Construct the 99% confidence interval for pl – 112 = ud from these data.

Mathematics, Probability and Statistics / By

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