Step-by-step explanation:
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Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
2 answers:
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Answer:
a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.
b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.
c) 0.064 = 6.4% probability that 7 of them are discovered.
Step-by-step explanation:
For itens a and b, we use conditional probability.
For item c, we use the binomial distribution along with the conditional probability.
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
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) If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator
Event B: Not located.
Probability of having an emergency locator:
66% of 72%(Are discovered).
20% of 100 - 72 = 28%(not discovered). So
Probability of having an emergency locator and not being discovered:
20% of 28%. So
Probability:
0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.
b) If it does not have an emergency locator, what is the probability that it will be discovered?
Probability of not having an emergency locator:
0.5312 of having. So
Probability of not having an emergency locator and being discovered:
34% of 72%. So
Probability:
0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?
p is the probability of being discovered with the emergency recorder:
0.5312 probability of having the emergency recorder.
Probability of having the emergency recorder and being located:
66% of 72%. So
Probability of being discovered, given that it has the emergency recorder:
This question asks for P(X = 7) when . So
0.064 = 6.4% probability that 7 of them are discovered.
Answer:
The domain of the function is 0 less-than-or-equal-to x less-than infinity ⇒ 3rd answer
Step-by-step explanation:
The domain of the function f(x) = y is all the values of x which make the function defined
∵
- There is no square root for negative number, that means x
must be non-negative number
∵ The non negative numbers start from zero till infinity
∴ 0 ≤ x < ∞
∴ x must be greater than or equal zero and less than infinity
- Values of x are the domain of the function
∴ The domain of the function is 0 ≤ x < ∞
The domain of the function is 0 less-than-or-equal-to x less-than infinity