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:
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Step-by-step explanation:
5/1000 is a smaller value than 5/100
Answer:
5.80% probability that exactly 1 resume will be from females.
Step-by-step explanation:
For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. 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.
22% of all resumes received by a corporation for a management position are from females.
This means that 
18 resumes will be received tomorrow.
This means that 
What is the probability that exactly 1 resume will be from females?
This is P(X = 1).


5.80% probability that exactly 1 resume will be from females.
Answer:
2 x 10 to the -6th power is .000002.
48, multiply -1 by -4 then multiply 4 by 12
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