1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anvisha [2.4K]
3 years ago
10

According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a

nd a standard deviation of 1.1 pounds. What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds
Mathematics
1 answer:
Sav [38]3 years ago
6 0

Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{8.6 - 7.5}{1.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 6.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.4 - 7.5}{1.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

You might be interested in
Subtract. Write your answer in simplest form.<br><br> 6 3/4 - 2 3/20<br><br> I need a mixed number
umka21 [38]

Answer:

4 3/5

Step-by-step explanation:

6 3/4-2 3/20=x

3/4=15/20

15/20-3/20=12/20=6/10=3/5

6-3=3+3/5=4 3/5

6 0
2 years ago
Read 2 more answers
Express in a simplified exponential notation 18a^3b^2/2ab
Sauron [17]

Hey there,

The answer is: 18a^3b2/2ab=9a^2*b

:)

3 0
3 years ago
Read 2 more answers
I need help please. It's trig
Olenka [21]

Answer:

6/10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What divided by 4 =8
frez [133]
To find the answer, multiply 8 by 4 to get 32. Now divide 32 by 4 and you should get the answer 8. This will make sure that your answer is correct. And so 32 divided by 4 equals 8.

8*4
Multiply
Final Answer: 32

32/4
Divide
Final Answer: 8
8 0
3 years ago
PLEASE HELP ITS DUE TOMORROW
Luden [163]

Answer:

4. 40 regular hours.

5. 7.3 hours of overtime

6. 40 hours x $12 = $480 regular pay

7. overtime pay was 7.3 hours x $18 = 131.40. plus the 480 = $611.40 total gross

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Help me and explain please
    6·2 answers
  • Someone please help me with this question!
    10·1 answer
  • 8.1 + 2.53<br><br><br> help<br> help
    6·2 answers
  • Can anyone inbox me​
    7·2 answers
  • Find an expression for the nth term ( tn ) in each of the following sequences:
    14·1 answer
  • HELP PLEASE! FOR EACH RELATION, DECIDE WHETHER OR NOT IT IS A FUNCTION.​
    10·1 answer
  • Please help me with the answer
    5·1 answer
  • Whoops i forgot to read the lesson :P 30 points
    7·1 answer
  • Samir estimates the value of 3/5*16.1 which estimate is reasonable
    12·1 answer
  • If p is true and q is false, what is the truth value of p or q?<br><br> 1<br> 0<br> true<br> false
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!