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------------------------------------------------ 1. If [tex]P(A) = 0.60[/tex], [tex]P(B) = 0.80[/tex], and [tex]P(B|A) = 0.40[/tex], find [tex]P(A|B)[/tex].

A. 0.20
B. 0.30
C. 0.40
D. 0.60

2. What is the value of [tex]z_{0.05}[/tex]?

A. -1.64
B. -1.28
C. 0.5199
D. 0.6915
E. 1.28
F. 1.64

Answer :

Final answer:

The probability of A given B, P(A|B), is calculated as 0.30. The z-score corresponding to 0.05 is 1.64.

Explanation:

The first part of the question deals with conditional probabilities. The probability of A given B can be calculated using the formula P(A|B) = P(B|A) * P(A) / P(B). Plugging in the given values, we can determine that P(A|B) = 0.40 * 0.60 / 0.80 = 0.30, so the answer to the first part is b) 0.30.

The second part of the question relates to the statistical measure known as z-score. The z-value or z-score corresponds to the probability or area under the standard normal curve. From standard statistical tables, z0.05 corresponds to 1.64. Therefore, the answer to the second part is f) 1.64.

Learn more about conditional probabilities and z-score here:

https://brainly.com/question/34591433

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