= n * p = 100 * 0.52 = 52
= sqrt(n * p * (1 - p)) = sqrt(100 * 0.52 * 0.48) = 5
a) P(X = 56) = P(56 < X < 56)
= P(55.5 < X < 56.5)
= P((55.5 - )/< ( X - )/< (56.5 - )/)
= P((55.5 - 52)/5 < Z < (56.5 - 52)/5)
= P(0.7 < Z < 0.9)
= P(Z < 0.9) - P(Z < 0.7)
= 0.8159 - 0.7580 = 0.0579
Option-B is correct graph.
b) P(X > 56) = P(56 < X)
= P(55.5 < X)
= P((55.5 - )/< ( X - )/)
= P((55.5 - 52)/5 < Z)
= P(0.7 < Z)
= 1 - P(Z < 0.7)
= 1 - 0.7580 = 0.242
Option - B is correct graph.
P(X < 56) = P(( X - )/ < (56.5 - )/)
= P(Z < (56.5 - 52)/5)
= P(Z < 0.9)
= 0.8159
Option-c is the correct graph.
D) Option- D is the correct answer
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