Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.
Totao outcomes:
10 engineers selected from a set of 20.
Probability:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Answer:
5.806 × 10³
Step-by-step explanation:
Put a decimal point to the right of the left-most digit: 5.806. Now multiply by the place value of that digit.
5.806 × 10³
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The 5 is in the "thousands" place. Of course a "thousand" is 1000 = 10·10·10 = 10³. The place value multiplier (1000 or 10³) is written using the exponent when we write scientific notation.
Answer:
99.86%
Step-by-step explanation:
What we have here is a binomial distribution, let x be the baby number among 8 births.
Binomial (n = 8, p = 0.559)
We want to find, P (X ≥ 1)
P (X ≥ 1) = 1 - P (X <1)
P (X ≥ 1) = 1 - P (X = 0)
P (X = 0) = 8C0 * (0.559) ^ 0 * (1 - 0.559) ^ (8-0)]
8C0 = 8! / (0! * (8-0)!) = 1
replacing we have:
P (X = 0) = 1 * 1 * 0.0014
P (X = 0) = 0.0014
P (X ≥ 1)) = 1 - 0.001
4
P (X ≥ 1) = 0.9986
Therefore the probability is 99.86%
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