Yesterday, Carmen went on a bike ride. Her average speed was 8 miles per hour. Today, she went on another ride, this time averag
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Answer:
h = 15 cm.
Step-by-step explanation:
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Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
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.
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.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
So
So we just have to find the probability of one fail in three trials.
Three trials means that .
The probability is
In which
Then
0.784 = 78.4% probability that there will be at least one failed graft in the next three done