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
siniylev [52]
3 years ago
9

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.1. This distribution

takes only whole-number values, so it is certainly not Normal. (a) Let x be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of x according to the central limit theorem
Mathematics
1 answer:
cluponka [151]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

The definition of the Central Limi Theorem states that:

Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

X[bar]≈N(μ;σ²/n)

If the variable of interest is X: the number of accidents per week at a hazardous intersection.

There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15

I hope it helps!

You might be interested in
What is the y-intercept of the function, and what does this tell you about the car?
scZoUnD [109]
<span>Write an equation in the standard form to represent the total rent (y) that Sam has to ... is the y-intercept of the function, and what does this tell you about the car?</span><span>
</span>
6 0
3 years ago
An international data plan charges $10.00
Elza [17]

Answer:

y = 2.50x + 10

Step-by-step explanation:

7 0
3 years ago
It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for
frosja888 [35]
Last one 7 and 3
9(7)+20(3)>120
63+ 60
123>120
Says 123 minutes is longer than 120 that's why it is that answer
7 0
3 years ago
Read 2 more answers
HELP ME. LOOK AT PICTURE
KATRIN_1 [288]
It would be in the top left corner
5 0
3 years ago
Read 2 more answers
What is the area of the trapezoid?
alekssr [168]
32 square units......
3 0
3 years ago
Read 2 more answers
Other questions:
  • NEED HELP NOW 25 POINTS!!!!!!
    7·2 answers
  • Describe features that determine a translation, rotation, and reflection.
    5·2 answers
  • What are the First 4 terms 12-n
    8·1 answer
  • What is the line of SYMMETRY for they PARABLLA who’s equation is y=3x2+24x-1?
    15·1 answer
  • Factorise<br>(x + 2)^2 + p^2 + 2p (x + 2)<br>​
    15·1 answer
  • The time spent driving (which depends on the number of miles needed to<br> travel) is 2 hours.
    7·1 answer
  • Find the first six terms of the sequence.<br><br> a1 = -4, an = an-1 + 7
    11·2 answers
  • Five gallons of lemonade cost $8.00 which is rate of ____ per _____
    6·1 answer
  • What is the expression in simplest radical form?<br> 4V90
    14·1 answer
  • Expand and simplify <br> 4(2x+3)+ 4(3x+2)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!