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SIZIF [17.4K]
3 years ago
10

Mr. And Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.14

. If they have seven children, what is the probability that at most two of their seven children will have that trait? Round your answer to the nearest thousandth.
Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

0.938

Step-by-step explanation:

From the question :

p = 0.14

Number of children, n = 7

P(x ≤ 2) = P(2) + P(1) + P(0)

Using binomial probability :

P(x =x) = nCx  * p^x * (1 - p)^(n - x)

We could also use the binomial probability calculator :

P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936

P(x ≤ 2) = 0.938

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This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
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Then we combine that into 9+4Y=X
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Y=10                      [now plug this into either equation to solve for X]
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