[2] Real roots of the quadratic equation ax² + bx + c = 0 exist if b2-4ac≥ 0. Suppose the coefficients a, b, and c are each determined by an independent roll of a fair 6-sided die. Let R be the event that the quadratic equation has real roots. Let B be the event the coefficient b occurs. [a] Determine the conditional P(R/B) for all possible values of B=b. [b] Use your result in [a] to determine the unconditional P(R). Choose s

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[2] Real roots of the quadratic equation ax² + bx + c = 0 exist if b2-4ac≥ 0. Suppose the
coefficients a, b, and c are each determined by an independent roll of a fair 6-sided die. Let R
be the event that the quadratic equation has real roots. Let B be the event the coefficient b
occurs.
[a] Determine the conditional P(R/B) for all possible values of B=b.
[b] Use your result in [a] to determine the unconditional P(R).
Choose s
Transcribed Image Text:[2] Real roots of the quadratic equation ax² + bx + c = 0 exist if b2-4ac≥ 0. Suppose the coefficients a, b, and c are each determined by an independent roll of a fair 6-sided die. Let R be the event that the quadratic equation has real roots. Let B be the event the coefficient b occurs. [a] Determine the conditional P(R/B) for all possible values of B=b. [b] Use your result in [a] to determine the unconditional P(R). Choose s
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