g Suppose that p=0.5 and you ran the experiment above (consisting of 200 coin flips) a total of 1000 times. What is the expected number of experiments such that the estimator n−−√(X¯¯¯¯¯n−0.5)0.5(1−0.5)√ is larger than the value D2 attained in the first experiment? (Round your answer to the nearest integer.)

The expected number of experiment is 198

Step-by-step explanation:

Solution

Given that:

We need to carry out a test

where,

H0 : p =0.5

and

H1 : p ≠ 0.5

n = the number of flip coin which is = 200

x = this is the number of  heads declared = 106

So,

xₙ = x/n = 106/200 = 0.53 = p

Thus,

D₂ =√n (xₙ - 0.5)/√0.5 * (1-0.5)

=√200 * (0.53 - 0.5)/ √0.5 * (1-0.5)

= 0.848528137

D₂ = 0.8485

Now,

p ( z> D₂ ) = p ( z > 0.8485)

=0.198072

Thus,

By applying R,

1 - pnorm (0.8485, 0,1)

That is (1- pnorm (D₂, 0, 1)

Hence,

p ( z> D₂ )≈ 0.198072

So,

We find The expected number of experiment such that the estimator √n (xₙ - 0.5)/√0.5 * (1-0.5)i s larger than the value D₂ when the total is 1000 times or  attained in the first experiment Thus

1000 * p ( z> D₂ )

= 1000 * 0.198072

=198.072

=198

Note: Kindly find an attached copy of the complete question below

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3