P= 0.63 of obtaining a head. the experimenter tosses the coin 300 times in order to estimate the probability p. what is the probability that the experimenter’s point estimate of p will be within the interval (0.62, 0.64)

The probability that the experimenter’s point estimate of p will be within the interval (0.62, 0.64) is 0.72

Step-by-step explanation:

To find a probability for the confidence interval we need to calculate z-statistic of the margin of error of the confidence interval.

margin of error for (0.62, 0.64) with p=0.63 is 0.01

Margin of error (ME) can be calculated using the equation

where

Then solving   gives z≈0.3587

two tailed p-value for z≈0.3587 is 0.72.

Thus, the probability that the experimenter’s point estimate of p will be within the interval (0.62, 0.64) is 0.72

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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