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pentagon [3]
3 years ago
13

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

t 4848 ​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of 30003000 aspirin tablets actually has a 55​% rate of​ defects, what is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?
Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

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In triangle ABC, P is a centroid on a median AD. If AD=33 and AP>PD find AP
jasenka [17]

Answer:

AP = 22

Step-by-step explanation:

In a triangle, the centroid divides the median in the ratio 2:1.

It is given that AD is the median and AD = 33

It is also given that P is the centroid on the median AD.

Therefore, P divides AD in the ratio 2:1.

\frac{AP}{PD} =\frac{2}{1}

AP = 2k and PD = k

AD = 33

AP + PD = 33

2k + k = 33

3k = 33

k = 11

So, AP = 2k = 2(11) = 22

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3 years ago
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. What is the measure of the angle subtende
Romashka-Z-Leto [24]
I hope this helps you

6 0
3 years ago
What is an equation of the line, in point-slope form, that passes through (8, -8); slope: 3
gavmur [86]

Answer:

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3 years ago
Two​ researchers, Jaime and​ Mariya, are each constructing confidence intervals for the proportion of a population who is​ left-
egoroff_w [7]

Complete question :

Two researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is left-handed. They find the point estimate is 0.13. Each independently constructed a confidence interval based on the point estimate, but Jaime’s interval has a lower bound of 0.097 and an upper bound of 0.163, while Mariya’s interval has a lower bound of 0.117 and an upper bound of 0.173. Which interval is wrong? Why?

Answer:

Mariya's interval

Step-by-step explanation:

Point estimate = 0.13

Mariya's confidence interval :

Lower boundary = 0.117

Upper boundary = 0.173

Jamie's confidence interval :

Lower boundary = 0.097

Upper boundary = 0.163

The correct confidence interval should have an average value equal to the value of the point estimate ;

Jamie's confidence interval average :

(0.097 + 0.163) / 2 = 0.26 / 2 = 0.13

Mariya's confidence interval average :

(0.117 + 0.173) / 2 = 0.29 / 2 = 0.145

Based on the confidence interval average obtained we can conclude that Mariya's interval is wrong as it the average obtained is greater than the point estimate.

0.145 > 0.13

3 0
3 years ago
11. 33 is what percent of 75?
alukav5142 [94]
If you would like to know what percent of 75 is 33, you can calculate this using the following steps:

x% of 75 is 33
x% * 75 = 33
x/100 * 75 = 33     /*100/75
x = 33 * 100 / 75
x = 44%

Result: 44% of 75 is 33.
8 0
3 years ago
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