Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 3 4 Probability 0.260 0.303 0.242 0.143 0.036 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.4. (Round to one decimal place as needed.) The variance is 1.5 (Round to one decimal place as needed.) The standard deviation is 1.2. (Round to one decimal place as needed.) (b) Interpret the results. The mean is. so the average batch of 1000 machine parts has V The standard deviation is , so the typical number of defects in batch of 1000 (Round to one decimal place as needed.)

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Use the probability distribution to complete parts (a) and (b) below.
The number of defects per 1000 machine parts inspected
Defects
Probability 0.260
2
0.242
0.303
0.143
0.036
0.016
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is 1.4.
(Round to one decimal place as needed.)
The variance is 1.5.
(Round to one decimal place as needed.)
The standard deviation is 1.2
(Round to one decimal place as needed.)
(b) Interpret the results.
The mean is
so the average batch of 1000 machine parts has
The standard deviation is . so the typical number of defects in a
batch of 1000
(Round to one decimal place as needed.)
R..
ista...
DF
021
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Transcribed Image Text:Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects Probability 0.260 2 0.242 0.303 0.143 0.036 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.4. (Round to one decimal place as needed.) The variance is 1.5. (Round to one decimal place as needed.) The standard deviation is 1.2 (Round to one decimal place as needed.) (b) Interpret the results. The mean is so the average batch of 1000 machine parts has The standard deviation is . so the typical number of defects in a batch of 1000 (Round to one decimal place as needed.) R.. ista... DF 021 ents.pdf (1,1) More Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All Check Answer
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Step 1

Mean: The mean is the sum of observations divided by number of observations. that is,

Mean = μ = E(x) = x × P(X=x)

Notations:
Sample mean = x and
Population mean = μ

Variance: The variance is the expectation of the squared deviation of a random variable from it's a mean. from the variance we can conclude that how far set of numbers is spread out from their average value. 

Population variance formula:

Var(x) = σ2 = E(x2)-E(x)2

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