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
gtnhenbr [62]
1 year ago
13

Please answer all parts as I know the answers but need the work to go with them. Thus, I believe the above answers are correct.

Thank you!
Mathematics
1 answer:
vampirchik [111]1 year ago
8 0

As the sample size n is less than 30 normal distribution is used.

The values of x are converted into z by using the formula z= x-u/ s and then the z values are found out from the table.

The limits are found by using the formula x±σz or x±sz where s= σ

As the sample size is 10 which is less than 30 the normal distribution is used.

The probability of x< 2.59 is 0.3446

The probability 2.60<X <2.63 is 0.9484

So lower and upper limits are 2.607 and 2.612

Part A

As the sample size is 10 which is less than 30 the normal distribution is used.

Part B

For given value of x= 2.59 z is obtained =0.4

x= 2.59

z= x-u/ s

z= 2.59-2.61/0.05

z= -0.02/0.05

z=- 0.4

P (X<2.59) = P(-0.4 <Z<0) = 0.5 -0.1554= 0.3446

The probability of x< 2.59 is 0.3446

Part C

For two given values of x= 2.60 and 2.63 z is obtained as =0.2 and 0.4

x1= 2.60

z1= x-u/ s

z= 2.60-2.61/0.05

z= -0.01/0.05

z=- 0.2

x2= 2.63

z2= x-u/ s

z= 2.63-2.61/0.05

z= 0.02/0.05

z= 0.4

P (2.60<X<2.63) = P(-0.2 <Z<0.4)

= P(-0.2 <Z<0)+ P(0 <Z<0.4)

=0.793 + 0.1554= 0.9484

The probability 2.60<X <2.63 is 0.9484

Part D"

p= 0.57

From the table z= 0.045

z= x-u/ s

zs= x-u

zs+u = x

x1= 0.045*0.05 +2.61= 2.61225

x2= 2.61- 0.00225= 2.60775

So lower and upper limits are 2.607 and 2.612

For further understanding of probability calculation click

brainly.com/question/25638875

#SPJ1

You might be interested in
Which statement describes the rate of change of the following function?
GarryVolchara [31]

The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.

In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.

8 0
2 years ago
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of
vovangra [49]

Answer:

their down payment is 30%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Mrs.smith earns $3500 a month. She saves $280 a month. Savings is what percent of her income?
arlik [135]

Answer:

3500 280

Step-by-step explanation:

280/3500

280 divided by 3500 times 100 (type this into a calculator)

its 8 her savings are 8 percent of her income

4 0
3 years ago
Which of the following is not affected by the outliers in the data shown
nexus9112 [7]
We don’t see nothing or no image
7 0
2 years ago
Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closetsto the number
Damm [24]

Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

5 0
3 years ago
Other questions:
  • Please help me on number 2
    10·1 answer
  • Sarah made two dozen
    6·1 answer
  • Which shapes can you use to model the log and the board
    15·1 answer
  • Di the products 40x 500 and 4x 600 have the same number of zeros? Explain
    8·2 answers
  • Solve Quadratic Equations (show all work)
    15·1 answer
  • Estimate and solve the story.
    15·1 answer
  • What type of angles are 1 &amp; 2
    10·1 answer
  • Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per
    9·2 answers
  • What is the least common multiple (LCM) of 15, 24 and 27?
    7·1 answer
  • Find a. Write your answer in simplest radical form.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!