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3 years ago

A data set has the following statistical measures.

Mathematics

2 answers:

Shkiper50 [21]3 years ago

7 0

ANSWER: C. There is a large outlier!

inysia [295]3 years ago

4 0

Answer: C. There is a large outlier

Step-by-step explanation:

We know that the mean value of a data set tells the average value of the data values whereas the median value separates the higher half from the lower half of a data set.

If mean is equal to median then there is no outlier in the data set .
If Mean is less than Median then there is a small outlier in the data set.
If Mean is greater than Median then there is a large outlier in the data set.

Here Given : mean = 10

mode = 4

median = 5

Mean > Median

Therefore, there must be a large outlier in the data set.

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3 years ago

A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historic

Rina8888 [55]

Answer:

The probability that none of the LED light bulbs are defective is 0.7374.

Step-by-step explanation:

The complete question is:

What is the probability that none of the LED light bulbs are defective?

Solution:

Let the random variable X represent the number of defective LED light bulbs.

The probability of a LED light bulb being defective is, P (X) = p = 0.03.

A random sample of n = 10 LED light bulbs is selected.

The event of a specific LED light bulb being defective is independent of the other bulbs.

The random variable X thus follows a Binomial distribution with parameters n = 10 and p = 0.03.

The probability mass function of X is:

$P(X=x)={10\choose x}(0.03)^{x}(1-0.03)^{10-x};\ x=0,1,2,3...$

Compute the probability that none of the LED light bulbs are defective as follows:

$P(X=0)={10\choose 0}(0.03)^{0}(1-0.03)^{10-0}$

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Thus, the probability that none of the LED light bulbs are defective is 0.7374.

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3 years ago