A chromosome mutation believed to be linked with colorblindness is known to occur, on the average, once in every 10,000 births. If 20,000 ba

Question

A chromosome mutation believed to be linked with colorblindness is known to occur, on the average, once in every 10,000 births. If 20,000 babies are born this year in a certain city:
1. What is the probability that at least one will develop colorblindness?
2. What is the exact probability model that applies here?
3. Approximate the probability that 2 or more babies will develop colorblindness, using the appropriate Poisson model.

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Everleigh 1 week 2021-11-23T16:09:04+00:00 1 Answer 0

Answers ( )

    0
    2021-11-23T16:10:29+00:00

    Answer:

    0.8647,0.5940

    Step-by-step explanation:

    Given that a chromosome mutation believed to be linked with colorblindness is known to occur, on the average, once in every 10,000 births.

    Hence for a sample of 20000 babies we can take average as 2.

    2) Since n is very large and p is small but np is finite Poisson model applies here.

    1)  the probability that at least one will develop colorblindness

    =P(X\geq 1) = 0.86466

    3)  the probability that 2 or more babies will develop colorblindness, using the appropriate Poisson model.

    =P(x\geq 2) = 0.59399

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