Answer
It would be unusual to observe 600 searches using google because this observation is more than 2 standard deviations away from the mean.
Work Step by Step
p = 0.536, n = 1000,
i) mean
np
= 0.536 x 1000
= 536
ii) standard deviation
$\sqrt{np(1-p)}$
= $\sqrt{1000 \times 0.536 \times (1-0.536)}$
= 15.77035193
$\approx$ 15.770
iii) Determine whether 600 is an unusual observation
μ−2σ = 536 - 2(15.770) = 504.46
μ+2σ = 536 + 2(15.770) = 567.54
600 is greater than 567.54. This indicates that 600 is more than two standard deviations above the mean. As a result, 600 would be considered an unusual observation.
