Calculate the required probabilities correct to 3 significant figures. a. Find P(X 9.7) and P(X >

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Calculate the required probabilities correct to 3 significant figures.

a. Find P(X ≤ 9.7) and P(X > 9.7), given that X ~N(6.2, 6.25).

b. Find P(X ≤ 5) and P(X > 5), given that X ~N(3, 49).

c. Find P(X > 33.4) and P(X ≤ 33.4), given that X ~N(37, 4).

d. Find P(X < 13.5) and P(X ≥ 13.5), given that X ~N(20, 15).

e. Find P(X > 91) and P(X ≤ 91), given that X ~N(80, 375).

f. Find P(1 ≤ X < 21), given that X ~N(11, 25).

g. Find P(2 ≤ X < 5), given that X ~N(3, 7).

h. Find P(6.2 ≥ X ≥ 8.8), given that X ~N(7, 1.44). [Read carefully.]

i. Find P(26 ≤ X < 28), given that X ~N(25, 6).

j. Find P(8 ≤ X < 10), given that X ~N(12, 2.56).

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