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webbhlharryteach
05.05.2020 •
Mathematics
A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Use a table to find the probability the surgery is successful for exactly five patients.
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Ответ:
31.77% probability the surgery is successful for exactly five patients.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. 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.
A surgical technique is performed on seven patients.
This means that![n = 7](/tpl/images/0633/7851/98cd9.png)
You are told there is a 70% chance of success.
This means that![p = 0.7](/tpl/images/0633/7851/31b9c.png)
Find the probability the surgery is successful for exactly five patients.
This is P(X = 5).
31.77% probability the surgery is successful for exactly five patients.
Ответ:
A) ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.