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kifflom [539]
3 years ago
15

REVIEW HELP PLS

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

B - perpendicular

Step-by-step explanation:

AE is parallel to CH, and since AC is perpendicular to AE, CH and AC are perpendicular

hope this helps youu

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This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 120 customer orders to f
Aliun [14]

Answer:

a. P(X = 0) = 0.02586

b.  \mathbf{P(X \leq 2 ) =0.2879}

c.  \mathbf{P(X \leq 5 ) =0.8387}

Step-by-step explanation:

From the given information:

a. If the manufacturer stocks 120 components, what is the probability that the 120 orders can be filled without reordering components?

P(X = 0)=(^{120}_{0}) (0.03)^0 (1-0.03)^{n-0}

P(X = 0)=\dfrac{120!}{0!(120-0)!} (0.03)^0 (1-0.03)^{n-0}

P(X = 0) = 1 × 1 ( 0.97)¹²⁰ ⁻ ⁰

P(X = 0) = 0.02586

b. ) If the manufacturer stocks 122 components, what is the probability that the 120 orders can be filled without reordering components?

P(X \leq 2 ) = [ P(X=0) + P(X =1) + P(X = 2) ]

P(X \leq 2 ) = [(^{122}_{0})(0.03)^0 (0.97)^{122-0}+(^{122}_{1})(0.03)^1  (0.97)^{122-1}+(^{122}_{2})(0.03)^2 (0.97)^{122-2}]P(X \leq 2 ) = [\dfrac{122!}{0!(122-0)! } \times 1 \times  (0.97)^{122}+\dfrac{122!}{1!(122-1)! } \times (0.03)  (0.97)^{121}+\dfrac{122!}{2!(122-2)! } \times 9 \times 10^{-4} \times (0.97)^{120}]

P(X \leq 2 ) = [(1 \times  1 \times  0.02433 )+(122 \times (0.03)  \times 0.025083)+(7381 \times 9 \times 10^{-4} \times 0.02586)]

\mathbf{P(X \leq 2 ) =0.2879}

(c) If the manufacturer stocks 125 components, what is the probability that the 120 orders can be filled without reordering components?

P(X \leq 5 ) = [ P(X=0) + P(X =1) + P(X = 2)  +P(X = 3)+P(X = 4)+ P(X = 5)    ]

P(X \leq 5 ) = [(^{122}_{0})(0.03)^0 (0.97)^{122-0}+(^{122}_{1})(0.03)^1  (0.97)^{122-1}+(^{122}_{2})(0.03)^2 (0.97)^{122-2} + (^{122}_{3})(0.03)^3 (0.97)^{122-3} + (^{122}_{4})(0.03)^4 (0.97)^{122-4}+ (^{122}_{5})(0.03)^5 (0.97)^{122-5}]P(X \leq 5 ) = [\dfrac{122!}{0!(122-0)! } \times 1 \times  (0.97)^{122}+\dfrac{122!}{1!(122-1)! } \times (0.03)  (0.97)^{121}+\dfrac{122!}{2!(122-2)! } \times 9 \times 10^{-4} \times (0.97)^{120} + \dfrac{122!}{3!(122-3)! }*(0.03)^3(0.97)^{122-3)}+ \dfrac{122!}{4!(122-4)! }*(0.03)^4(0.97)^{122-4)} +\dfrac{122!}{5!(122-5)! } *(0.03)^5(0.97)^{122-5)}]

\mathbf{P(X \leq 5 ) =0.8387}

5 0
3 years ago
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