Mathematics: LAST QUESTION ON MATH TEST. HELP

LAST QUESTION ON MATH TEST. HELP - id13389260, cheyennecarrillo14

ayoismeisalex

12.03.2021

a) 0.48

b) 0.0329

c) 0.625

Step-by-step explanation:

Let the number of the valves be = 15

The probability of the valves being faulty, P(B) = $\frac{3}{15} = \frac{1}{5}$

the probability that a valve is in good condition, P(G) = $\frac{12}{15} = \frac{4}{5}$

a) probability valves are defective-free P(GGGG) $\frac{12}{15}*\frac{11}{14}* \frac{11}{13}*\frac{11}{12} \\= 0.48$

b) probability the three will be defective = P (BBB)

= $\frac{3}{15}*\frac{2}{14}*\frac{1}{13}\\ = 0.0329$

c) P (at least one defective) = 0.625

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