The reaction between solid white phosphorus and oxygen produces solid tetraphosphorus decoxide.
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Probability helps us to know the chances of an event occurring. The probability that a worker will pick a bolt that is not defective is 5263/5265.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring.
Given the company has determined that 3 out of every 5265 bolts that it ordered is defective. Therefore, the probability that a worker will pick a bolt that is not defective is,
Probability = (Number of not defective bolts)/(Total number of bolts)
= (5265-3)/5265
= 5263/5565
Hence, the probability that a worker will pick a bolt that is not defective is 5263/5265.
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Based on the information given, it should be noted that the probability that the mean value is less will be 0.9863.
<h3>Solving the probability.</h3>From the complete information, the mean of the distribution is $403,000 and the standard deviation is $278,000 and the number of houses is 40.
Therefore, the probability that the mean value of the 40 houses is less than 500000 will be:
= P [Z < (500000 - 403000)/43955.66)
= P(Z < 2.2067)
Looking at the z value, this will be 0.9863.
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