Can i get some help with #5 and below thankyou
1 answer:
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Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f
<u>Step-by-step explanation:</u>
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... <em>(add zero to the Natural numbers)</em>
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... <em>(add negatives to the Whole numbers)</em>
d) Rationals: Add terminating and repeating decimals to Integers.
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e) Irrationals: Non-repeating decimals that are non-terminating. <em>This is its own category so cannot be a Rational number or above.</em>
f) Real Numbers: ALL of the above (a - e) are Real numbers.
1) -5.2 has a terminating decimal so it is a RATIONAL number.
2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #
3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number
4) = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.
5) is a non-terminating decimal so it is an IRRATIONAL number
Answer:
97.10% probability that five or more of the original 2000 components fail during the useful life of the product.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works correctly, or it does not. The probability of a component falling is independent from other components. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Approximate the probability that five or more of the original 2000 components fail during the useful life of the product.
We know that either less than five compoenents fail, or at least five do. The sum of the probabilities of these events is decimal 1. So
We want
So
In which
97.10% probability that five or more of the original 2000 components fail during the useful life of the product.