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The probability of successfully landing a plane using a flight simulator is p. Nine randomly
and independently chosen student pilots were asked to try to fly the plane using the simulator.
Let X be the number of student pilots among these nine who land the plane successfully.

What is the probability that at least one of the student pilots will successfully land the
plane using the simulator?


Since the probability of landing successfully, p is unsolvable numerically. I left my answer in terms of p. Let success = p and fail = 1 - p.

What i wanted to know, is my answer correct in the approach i took, using Binomial distribution? My answer is attached below as a picture, for formatting purposes.

Thanks

Respuesta :

mathmate
success = p
failure = (1-p)  
is the correct first step.

To find the probability of at least one success, P(X>0), it is much easier to first calculate the probability of P(X=0)=NO success.  Then the complement of
P(X=0)'=1-P(X=0) = P(>0) = probability of at least one success.

By the multiplication rule,
P(X=0)=(1-p)^9
or the binomial distribution
P(X=0)=C(9,0)(p^0)(1-p)^9=1*1*(1-p)^9=(1-p)^9

So the probability of at least one success = 1-P(X=0)
=1-(1-p)^9

husnaahmadi

Answer:

give me your insta mine is luralopez73

Step-by-step explanation:

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