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3 years ago

13

Help evaluating the question for 14,16

2 answers:

Olenka [21]3 years ago

5 0

Number 14 is 61 and Number 16 is 36..,.

timurjin [86]3 years ago

5 0

Number 14 is (36 + 16), sorry I could only do the first one

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Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

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$p = \frac{1}{1000}$

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The standard deviation of this probability is mathematically represented as

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Substituting values

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$= \sqrt{49.95}$

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the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

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$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

So

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

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