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
lesya [120]
3 years ago
14

In a local university, 40% of the students live in dormitories. A random sample of n = 80 students is selected for a particular

study.
(a) What is the sampling distribution of P? Please provide its general shape, its standard deviation, and its mean.
(b) What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50?
Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

a) p is normally distributed with mean P = 0.4 and standard deviation

δ = 0.05477

b) P( 0.3 < p < 0.5) = 0.9312

Step-by-step explanation:

a) What is the sampling distributión of P?

   

    p(sample proportion) is normally distributed with mean P and standard  

    deviation δ = \sqrt{\frac{P(1-P)}{n} }

   

    how P = 0.40  population proportion of the students live in dormitories,        

    then p is normally distributed with mean P = 0.4 and standard deviation

     δ = \sqrt{\frac{0.4(1-0.4}{80} }

     δ = 0.05477

b) P( 0.3 < p < 0.5)

    Standardizing

    z = (p - P)/δ

    z_{1} = \frac{0.3-0.4}{0.05477}

                    = -1.82

    z_{2} = \frac{0.5-0.4}{0.05477}

                    = 1.82

     P(-1.82 < z < 1.82) = P(z < 1.82) - P(z<-1.82)

                                   =0.9656 - 0.0344

     P(-1.82 < z < 1.82) =  0.9312  

 

   

   

You might be interested in
Trevor plans on buying a car. Four banks offer the annual interest rates shown.
mote1985 [20]

Solution

In order to find  greatest to least number, we have to convert the given fractions into decimals.

3 \frac{1}{10} % = 3 + 1/10 = 3 + 0.10 = 3.10%

3 \frac{2}{5}% = 3 + 2/5 = 3 + 0.40 = 3.40%

3 \frac{1}{4} %= 3 + 0.25 = 3.25%

3 \frac{1}{3}% = 3 + 0.33 = 3.33%

Now we can easily, compare the numbers and write from greatest to least.

3.40%, 3.33%, 3.25%, 3.10%

Greatest to least  = 3 2/5%, 3 1/3%3, 3 1/4%,  1/10%,

Thank you :)

8 0
3 years ago
Read 2 more answers
Solve the equation :<br>-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3<br>thanks :) ​
kakasveta [241]

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  1

-6+3x+4=2-4x+3

-8+7x+1=0

7x=7

x=1

4 0
2 years ago
4. The West Corporation has a weekly fixed cost of $5000. It costs $40 to produce each
Fantom [35]

Answer: 250 cameras; $10,000 spent; 15,000 made

Step-by-step explanation:

1) FInd the profit. 60-40=20. This means that they make a profit of $20 per camera.

2) How many cameras to break even? 5000/20=250. The answer is 250 cameras!

3) How much money has been spent? 40x250= $10000 spent.

4) How much money has been made? 60x250= $15000 made.

<em>Hope this helps!</em>

6 0
2 years ago
Jay estimates that a basketball weights about .5 pounds. Shawna estimates that a basketball weights about.05. Whose estimate is
Natasha_Volkova [10]

Answer:

Jay's estimate is closer to the actual weight of the basketball

Step-by-step explanation:

The standard weight of an NBA basketball is 1.4 pounds.

Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below

Error  = (Standard value - Estimated value)/ Standard Value ×100

Error in Jays answer = \frac{1.4 - 0.5}{1.4} × 100 = 64.28 %

Error in Shawna's answer = \frac{1.4 - 0.05}{1.4} × 100 = 96.42%

From this, It is obvious that Jay's answer has a lower percentage error when compared to the actual value.

8 0
3 years ago
6 x 5/8 in simplest form
AleksAgata [21]
The answer would be 15/4 or 3 3/4
4 0
2 years ago
Other questions:
  • Farmer Ed has7500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fenc
    15·2 answers
  • (3x^2y)(7x^2y)(-2x^2y)
    12·2 answers
  • Think of your favorite spot to get food from. You are going there to get your first meal after quarantine and the meal cost $35.
    13·1 answer
  • Please help me I really need help
    7·2 answers
  • In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
    12·1 answer
  • What is 1/4 times exponent 4
    7·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • Jackie Robinson was a prominent athlete who made the headlines as one of the first and most commonly known black player in the M
    6·2 answers
  • Solve each inequality and give your answers in interval notation:
    12·1 answer
  • What is (-2,6) and ( 5,13) in slope
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!