Find the probability P(−1.56 ≤ Z ≤ 0).Multiple Choice0.55900.11800.44100.0590
Question
Find the probability P(−1.56 ≤ Z ≤ 0).Multiple Choice0.55900.11800.44100.0590
Solution
To find the probability P(-1.56 ≤ Z ≤ 0), you need to use the standard normal distribution table or Z-table.
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First, find the probability P(Z ≤ 0). Since the total probability under the standard normal curve is 1 and the curve is symmetric, P(Z ≤ 0) = 0.5.
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Next, find the probability P(Z ≤ -1.56). Looking up -1.56 in the Z-table, you find a probability of approximately 0.0594.
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To find the probability P(-1.56 ≤ Z ≤ 0), subtract P(Z ≤ -1.56) from P(Z ≤ 0). So, P(-1.56 ≤ Z ≤ 0) = P(Z ≤ 0) - P(Z ≤ -1.56) = 0.5 - 0.0594 = 0.4406.
So, the closest answer is 0.4410.
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