A statistics teacher fills a large container with 1000 white and 3000 red beads and then mixes the beads thoroughly. She then ha
s her students take repeated SRS of 50 beads from the container. After many SRSs, the values of the sample proportion of red beads are approximated well by a Normal distribution with a mean of 0.75 and standard deviation of 0.06.
(a) What is the population? Describe the population distribution.
(b) Describe the sampling distribution of p^. How is it different from the population distribution?
(a) What is the population? Describe the population distribution.
(b) Describe the sampling distribution of p^. How is it different from the population distribution?
1 answer:
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According to given conditions, m+n is equal to 409.
Consider the diagram below.
In the hexagon ABCDEF, let
AB = BC = CD = 3;
DE = EF = FA = 5;
Arc BAF is equal to one-third of the circle's circumference.
Hence, ∠BCF = ∠BEF = 60°;
Similarly, ∠CBE = ∠CFE = 60°;
Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.
∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.
Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.
∴ Δ ABQ is similar to Δ EDQ
Also,
and
On solving these simultaneous equations, we get AD = 360/49
∴ m + n = 409.
To learn more about similarity of triangles, refer to this link:
#SPJ4
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.
