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Ilya [14]
3 years ago
7

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 day

s and a standard deviation of 8 days. ​(a) What is the minimum pregnancy length that can be in the top 12% of pregnancy​ lengths? ​(b) What is the maximum pregnancy length that can be in the bottom 3​% of pregnancy​ lengths?
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

a) 279 b)254

Step-by-step explanation:

Mean = 269 days

standard deviation = 8 days

let n be the pregnancy lenght.  

using normal distribution formula

z = (n – mean)/ standard deviation

n = z * standard deviation + mean

Now, z values for the top 12% has to be found using a z table.

The top 12% means 88% of area under the curve. In this case z = 1,176

n = 1,176 * 8 + 269

n = 278.4 = 279

The bottom 3% means 97% of area under the curve. In this case z = -1,882

n = -1,882 * 8 + 269

n = 253.94 = 254

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Step-by-step explanation:

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
aivan3 [116]

Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>To find the solution to a system of equation</u>

  ⇒ <em>must set</em> the equations equal to each other

     ⇒ and solve

<u>Let's put that into action</u>

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  • At this point, to make the whole thing equal zero

          ⇒ either 'x+3' or 'x-3' equals zero

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<u />

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<u></u>

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3 0
1 year ago
Let pn, n = 0,1,2,..., be the probability that an automobile policyholder will file for n claims in a five-year period. the actu
lara31 [8.8K]
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dusya [7]

Answer:

\huge\boxed{\sf x =6,\ y = 42}

Step-by-step explanation:

Let the numbers be x and y

<h3>Given condition:</h3>

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\rule[225]{225}{2}

6 0
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