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
alexgriva [62]
3 years ago
8

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the pro

bability that a randomly selected thermometer reads between −2.23 and −1.69 and draw a sketch of the region.
Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.

The sketch is drawn at the end.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 0°C and a standard deviation of 1.00°C.

This means that \mu = 0, \sigma = 1

Find the probability that a randomly selected thermometer reads between −2.23 and −1.69

This is the p-value of Z when X = -1.69 subtracted by the p-value of Z when X = -2.23.

X = -1.69

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

Z = \frac{-1.69 - 0}{1}

Z = -1.69

Z = -1.69 has a p-value of 0.0455

X = -2.23

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

Z = \frac{-2.23 - 0}{1}

Z = -2.23

Z = -2.23 has a p-value of 0.0129

0.0455 - 0.0129 = 0.0326

0.0326 = 3.26% probability that a randomly selected thermometer reads between −2.23 and −1.69.

Sketch:

You might be interested in
State who is correct and explain why
Ivan

Answer:

12.4+3√7 is  irrational

Step-by-step explanation:

12.4 is a rational number

3√7 is an irrational number

<u>The sum of a rational number and an irrational number is irrational.</u>

So, 12.4+3√7 is  irrational

4 0
3 years ago
There is a total of 2,512 people attending the fun fair. 5/8 of sttemdees are students and 1/4 of attendees are parents. the res
kvv77 [185]

Answer:

<u>314 of the people attending the fun fair are people living in the neighborhood</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

<u>314 of the people attending the fun fair are people living in the neighborhood</u>

8 0
3 years ago
How do you solve this In this case 1422 = 5534/(1+r)^4
Sever21 [200]
It is okay to take the inverse of both side given that you remember to exclude the value that make the denominator  zero which is in this case r=-1

8 0
3 years ago
When ms. shreve solved an equation in class, she checked her solution and found that it did not make the equation true! Examine
IgorC [24]
The first part of the second line, she left the -5 there. The correct work and solution should be this:
5(2x-1)-3x=5x+9
<span><span>7x</span>−5</span>=<span><span>5x</span>+<span>9
</span></span>2x-5=9
2x=14
x=7
7 0
3 years ago
please please out of certain people of all locality 50% speak Nepali language 55% speak English language and 5% speak not if 40
RSB [31]

The  given pics are your answers... Thank you

8 0
2 years ago
Other questions:
  • Last week, Evelyn ran 44 laps at the community center. Peter ran 75% of the number of laps that Evelyn ran. How many laps did Pe
    10·1 answer
  • A Fair coin is tossed and a marble is chosen from the bag whose contents are shown below. what is the probability of the coin La
    9·2 answers
  • On average,The .U.S. produces 36.5 million tons of fruit each year.About how much fruit does it produce in 2.25 years?
    6·2 answers
  • Suppose $7,000 is deposited in an account paying 2% interest per year compounded monthly. Find the amount in the account after 2
    10·1 answer
  • Does anyone know the answer (6x^2)(-3x^5) ????
    6·1 answer
  • Please answer this question fast in two minutes
    13·2 answers
  • A line intersects the point (-3, -7) and
    6·2 answers
  • How many gallons of a 70% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 60% antif
    8·1 answer
  • Solve 4x + 11 = k for x.
    5·1 answer
  • Simplify: 7(-2x - 3) *<br> -14x - 21<br> -14x - 3<br><br> 14x - 21<br><br> 14x - 3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!