The probabilistic method. 10 per cent of the surface of a sphere is coloured blue, the rest is red. Show that, irrespective of the manner in which the colours are distributed, it is possible to inscribe a cube in S with all its vertices red.

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A: Given data is12,10,11,15,12,14sample size(n)=6

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A: We have given that Population Mean(µ) = 7.3 Sample mean (x̅) = 6.9Standard deviations (s) = 1.6

Q: Problem 1. [SW 14.6] In Exercise 14.5(b) (which is copied below for your reference), suppose you…

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A: GivenMean(μ)=165Variance(σ2)=144standard deviation(σ)=144standard deviation(σ)=12sample size(n)=78

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Q: Consider random samples of size 86 drawn from population A with proportion 0.46 and random samples…

A: Given: n1 = 86 p1 = 0.46 n2 = 68 p2 = 0.16 Formula Used: Standard error = p1q1n1+p2q2n2

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A: Given: Correlation coefficient r = 0.955798 Critical r = ±0.2680855 p-value = 0

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Q: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that…

A: Given,no.of black balls=6no.of white balls=8Total no.of balls=14

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Q: Clarify the difference between exclusive and inclusive class intervals.

A: Class interval are the minimum and maximum under which certain values of the data lies.

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Q: More time on the Internet: A researcher polled a sample of 1020 adults in the year 2010, asking them…

A: given that  A researcher polled a sample of 1020 adults in the year 2010

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A: given dataμ=178σ=12n=76 here sample size n≥30  so as per CLT we can assume that distribution is…

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Q: Answer Q2-Q5 using the following table. Source Degree of Freedom Treatment Error Total C. 8.5593 d.…

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Q: 5. If A and B are independent events, which of the following statements is always true? OA. P(A/B) =…

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Q: 1960 1965 time 1970 1975 1980 -0.2 remainder trend -0.5 0.5 1.5 2.5 0.0 0.1 0.2 seasonal -0.15 -0.05…

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Q: A consumer group tested 11 brands of vanilla yogurt and found the numbers below for calories per…

A: Given that: 135, 160, 150, 120, 125, 105, 165, 160, 105, 135, 85