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μ=220 grams σ=25 grams
If a mango is selected at random, what is the probability that its weight lies between 180 and 250 grams?
In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
2. Let B be a finite Boolean algebra and let A be the set of all atoms of B . Then prove that the Boolean algebra B is isomorphic to the Boolean algebra 𝑃(𝐴), where 𝑃(𝐴) is the power set of A .
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Simplify the following Boolean algebra 𝑎 + 𝑎′𝑏 + 𝑎′𝑏′𝑐 + 𝑎′𝑏′𝑐′𝑑 + 𝑎 𝑏 𝑐 𝑑′𝑒.
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Simplify the following Boolean algebra 𝑎 + 𝑎′𝑏 + 𝑎′𝑏′𝑐 + 𝑎′𝑏′𝑐′𝑑 + 𝑎 𝑏 𝑐 𝑑′𝑒.
1)
Simplify the following Boolean algebra 𝑎 + 𝑎′𝑏 + 𝑎′𝑏′𝑐 + 𝑎′𝑏′𝑐′𝑑 + 𝑎 𝑏 𝑐 𝑑′𝑒.
A fitness center claims that its members lose an average of 12 pounds or more the first month after joining the center. An independent agency that wanted to check this claim took a sample of 45 members and found that they lost an average of 10 pounds within the first month with standard deviation of 3 pounds. Find the p-value for this test. What will your decision be if 𝛼 = 0.05?
is o an element of {{o},empty set,{0,empty set}}
A report in LTO stated that the average age of taxis in the Philippines is 12 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 11.2 years. The standard deviation of the population is 2.3 years. At 0.05 level of significance, can it be concluded that the average age of the taxis in his company is less than the national average?
Average Senior High School annual cost of tuition fee for all private schools last year was P46,300. A random sample of costs this year for 45 private schools indicated that the sample mean was P47,800 and a sample standard deviation was P5,600. At the 0.10 level of significance, is there sufficient evidence to conclude that the cost has increased?
