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
krek1111 [17]
3 years ago
13

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

probability that a randomly selected individual will be between 185 and 190 pounds? Solution: pnorm(190-185,180,8) = 2.24756e-106, which is essentially 0. What was done wrong in this solution?
Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 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 = 180, \sigma = 8

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

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

Z = \frac{190 - 180}{8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 185

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

Z = \frac{185 - 180}{8}

Z = 0.63

Z = 0.63 has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

You might be interested in
Math question below image below
enyata [817]
Just add the x's its simple, answer is 10
3 0
3 years ago
Read 2 more answers
An athlete takes 10 rounds of a rectangular park, 60 m long and 35 m wide. Find the total distance covered by him
serious [3.7K]

Answer:

1900M

Step-by-step explanation:

If the athlete runs round a rectangular park, the distance covered can be determined by calculating the perimeter of the park

Perimeter of a rectangle = 2 x (length + width)

2 x (60 + 35) = 190m

Since he run rounds 10 times, the total distance covered = 190m x 10 = 1900m

5 0
3 years ago
A farmer wants to transport 100 cows to another farm. Each truck can carry 7cows. He has 10 trucks . How many more trucks does h
kicyunya [14]

Answer:

3 more trucks

Step-by-step explanation:

7 cows a truck and 10 trucks equals 70 cows carried. 30 more cows/10 per truck equals 3 more trucks.

7 0
4 years ago
Read 2 more answers
Which of the following could be a measurement on a scale drawing that has a scale of 2:5?
klemol [59]

Answer:

9

Step-by-step explanation:

3 0
3 years ago
Would someone help me 2/3 2/1 8/9 7/9 breast to least​
Tema [17]

Answer:

First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.

Step-by-step explanation:

2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.

4 0
2 years ago
Read 2 more answers
Other questions:
  • Which graph correctly solves the system of equations below? y = − x2 + 1 y = x2 − 4
    5·2 answers
  • Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour?
    12·1 answer
  • PLEASEEEEEEEEE HELP I AM FAILING :(((
    13·2 answers
  • You divide a number by 3then at 6 then subtract 7 the result is 4 what is a number?
    11·1 answer
  • Independent random samples of voters from two voting districts, G and H, were selected to investigate the proportion of all vote
    12·1 answer
  • Hey, I was just wondering what will the answer be to 2 3/4 - 1 2/3 ?
    11·2 answers
  • Examine the power 5^4
    9·1 answer
  • Ian invested$1500 dollars in the bank. After 2 years he withdrew all his money. He received $1590. What interest rate was he get
    6·1 answer
  • Julie had twins that weighed less than 16 pounds together. If each twin weighed the same amount, which of the following inequali
    6·1 answer
  • What is the order of the angles from largest to smallest?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!