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
Veronika [31]
3 years ago
13

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution o

f this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?
Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

The probability that sample mean is less than 2  is 0.1423.

Step-by-step explanation:

Let <em>X</em> denote the number of accidents per week at a hazardous intersection.

It is provided that the mean and standard deviation of <em>X</em> are, <em>μ</em> = 2.2 and <em>σ</em> = 1.4.

(a)

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

As the sample size is not large enough, i.e. <em>n</em> = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.

And since the distribution of <em>X</em> is not specified, the probability cannot be computed.

(b)

In this case, the sample size is large enough, i.e. <em>n</em> = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.

Compute the probability that sample mean is less than 2 as follows:

P(\bar X

Thus, the probability that sample mean is less than 2  is 0.1423.

You might be interested in
Guys I need help will mark brainliest
omeli [17]

Answer:

mean= sum of the terms/ (over) number of terms

4 0
3 years ago
Which of the following is NOT a guideline to follow when evaluating consumer information? a. Use a reliable and informed source
Dominik [7]
The statement which is NOT a guideline to follow when evaluating consumer information is C. Submit private information regardless of who is asking.
6 0
3 years ago
Read 2 more answers
A friend of yours, a senior, took the Graduate Record Exam in September and scored in the 99th percentile. In February, your fri
soldi70 [24.7K]

His/her lowered score was most likely due to statistical regression.

<h3>How to determine the reason?</h3>

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

  • September = 99th percentile
  • February = 90th percentile

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

Read more about statistical regression at:

brainly.com/question/25987747

#SPJ12

3 0
2 years ago
Find the product of (x – a) and (x - b).
yawa3891 [41]

(x−a)(x−b)

=(x+−a)(x+−b)

=(x)(x)+(x)(−b)+(−a)(x)+(−a)(−b)

=x2−bx−ax+ab

<h2><u><em>=ab−ax−bx+x2</em></u></h2>

6 0
3 years ago
Help with it all, don't understand this
Ganezh [65]
Number 3 it is a factor because if u expand you will see that x+6 will be the answer
5 0
3 years ago
Other questions:
  • Is the fraction 11/20 a repeting and termnating decimal?
    14·2 answers
  • John and alicia are asked to clean the barn. john can clean the barn by himself in 3 hours and together they can clean the barn
    15·2 answers
  • Determine the slope (9,2) and (3,-8)
    14·1 answer
  • Write a word sentence for the equation.<br><br> 2.3m = 0.46
    14·1 answer
  • What is the area of this trapezoid?
    8·2 answers
  • Richard owns 35 chickens and each one produce 3 egg per day.how many eggs can he collect each day
    9·2 answers
  • Express the complex number in trigonometric form. <br><br> -6i
    9·1 answer
  • Factor completely. 16x^6-81=
    8·1 answer
  • Give Brainliest (need ASAP)
    8·2 answers
  • Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The tab
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!