Solve the inequality please- 21 ≥ 3(a- 7) +9 Thank you so much

Mathematics

1 answer:

Alexeev081 [22]4 years ago

8 0

Answer:

Step-by-step explanation:

+21 +21

-9 -9

÷3 ÷3

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A company purchases shipments of machine components and uses this acceptance 11) sampling plan: Randomly select and test 30 comp

Galina-37 [17]

Answer:

Probability that this whole shipment will be accepted is 0.7324.

Step-by-step explanation:

We are given that a company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 30 components and accept the whole batch if there are fewer than 3 defectives.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 30 components

r = number of success = fewer than 3

p = probability of success which in our question is % rate

of defects, i.e; 6%

<em>LET X = Number of defective components</em>

So, it means X ~ $Binom(n=30, p=0.06)$

Now, Probability that this whole shipment will be accepted only when there are fewer than 3 defectives = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{30}{0}\times 0.06^{0} \times (1-0.06)^{30-0}+ \binom{30}{1}\times 0.06^{1} \times (1-0.06)^{30-1}+ \binom{30}{2}\times 0.06^{2} \times (1-0.06)^{30-2}$