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Mazyrski [523]
3 years ago
6

Calculate the mean for samples for which the sample size and summation from nothing to nothing x∑x are given below.

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0
In order to compute the mean, simply divide the sum over the number of 
element in the sample, like this:
1)\frac{\Sigma x_i}{10}= \frac{8282}{10}= 828.2

2)
\frac{\Sigma x_i}{10}= \frac{336336}{16}=21021
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A square has an area of 64 m². What is the length of each side?
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Answer:

8m

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The area of a square is length*width.

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3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
DerKrebs [107]

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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