Let X be normally distributed with mean μ = 2.9 and standard deviation σ = 1.5. Use Table 1.
a. |
Find P(X > 6.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) |
P(X > 6.5) |
b. |
Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) |
P(5.5 ≤ X ≤ 7.5) |
c. |
Find x such that P(X > x) = 0.0594. (Round "z" value and final answer to 3 decimal places.) |
x |
d. |
Find x such that P(x ≤ X ≤ 2.9) = 0.4066. (Negative value should be indicated by a minus sign. Round "z" value and final answer to 3 decimal places.) |
x |
Given and
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Let X be normally distributed with mean μ = 2.9 and standard deviation σ = 1.5....
Let X be normally distributed with mean μ = 2.4 and standard deviation σ = 1.6. a. Find P(X > 6.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places. b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X > x) = 0.0869. (Round "z" value and final answer to 3 decimal places.) d. Find x such...
Let X be normally distributed with mean μ = 3.3 and standard deviation σ = 2.3. [You may find it useful to reference the z table.] a. Find P(X > 6.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X > x) = 0.0485. (Round "z" value and...
Let X be normally distributed with mean μ = 13 and standard deviation σ = 4. a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(7 ≤ X ≤ 12). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) d. Find P(10 ≤ X...
Let X be normally distributed with mean μ = 22 and standard deviation σ = 16. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 6). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(2 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...
Let X be normally distributed with mean μ = 137 and standard deviation σ = 20. [You may find it useful to reference the z table.] a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X ≤ x) = 0.340. (Round "z" value and...
Let X be normally distributed with mean μ = 3,200 and standard deviation σ = 1,600. [Use Excel commands instead of the z table.] a. Find x such that P(X ≤ x) = 0.9382. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) c. Find x such that P(3,200 ≤ X ≤ x) = 0.1217. (Round "z" value to 2 decimal places, and final answer to nearest whole number.)
Let X be normally distributed with mean μ = 3,200 and standard deviation σ = 1,200. [Use Excel commands instead of the z table.] a. Find x such that P(X ≤ x) = 0.9382. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) b. Find x such that P(X > x) = 0.025. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) c. Find x such that P(3,200 ≤ X...
Let X be normally distributed with mean μ-126 and standard deviation σ-22. Mou may find it useful to reference the ztabel a. Find AX s 100). (Round z value to 2 decimal places and final answer to 4 decimal places.) PX 100) 0.1151 b. Find P95 sXs110). (Round "value to 2 decimal places and final answer to 4 decimal places.) P(95 sX s 110) c. Find x such that FXsx) = 0.410. (Round "z" value and final answer to 3...
Let X be normally distributed with mean μ. 126 and standard deviation σ-22. [You may find it useful to reference the ztable.] a. Find AX s 100). (Round" value to 2 decimal places and final answer to 4 decimal places.) POX S 100) b. Find P95 sX s110) (Roundr value to 2 decimal places and final answer to 4 decimal places.) P(95 SXS 110) c. Find x such that PXsX)-0.410. (Round " value and final answer to 3 decimal places.)...
Let X be normally distributed with mean μ = 10 and standard deviation σ = 6. What is P(X = 10)? Provide 4 decimal places in your answer.