For day1 with n = 5
Here, μ = 8, σ = 3/sqrt(5) = 1.3416
z = (x - μ)/σ
z = (11 - 8)/1.3416 = 2.24
Therefore,
P(X <= 11) = P(z <= (11 - 8)/1.3416)
= P(z <= 2.24)
= 0.9875
For day1 with n = 5
Here, μ = 8, σ = 3/sqrt(6) = 1.2247
P(X <= 11) = P(z <= (11 - 8)/1.2247)
= P(z <= 2.45)
= 0.9929
Required probability = 0.9875 * 0.9929 = 0.9805
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