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
tigry1 [53]
3 years ago
7

1.) The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during pe

ak rush hour periods of eight minutes ("2012 annual report," 2012). (a) State the random variable.(b) Find the height of this uniform distribution.
Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

X \sim Unif(a=0,b=8)

Where a and b represent the limits of the distribution.

b) f(x) = \frac{1}{8}= 0.125, a\leq x \leq b

And the height for this case would be 0.125

Step-by-step explanation:

Part a

For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

X \sim Unif(a=0,b=8)

Where a and b represent the limits of the distribution.

Part b

For this case the density function would be given by:

f(x) = \frac{1}{8}= 0.125, a\leq x \leq b

And the height for this case would be 0.125

And f(x)= 0  for other case.

The cumulative distribution function would be given by:

F(x) = 0, x

F(x) = \frac{x-a}{b-a}= \frac{x}{8}, 0\leq x < 8

F(x) = 1, x\geq 8

You might be interested in
Question 20. The expression which defines the area of a trapezium is...
jeka94

Answer:

b = 2A/h - a . (option a)

Step-by-step explanation:

Check attachment

4 0
3 years ago
What is the value of -2(5) + 3?
pantera1 [17]
Answer is -7

-2(5)+3
-10+3
-7

Hope it helps
4 0
3 years ago
Read 2 more answers
Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy
Alborosie

Answer:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

df = n-1=75-1 =74

The p value is:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

\bar X = 3.13 , s =0.03 , n =75

The statistic to check the hypothesis is given by:

t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}

Replacing the info given we got:

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

The degrees of freedom are given by:

df = n-1=75-1 =74

The p value since is a right tailed ted is given by:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0
3 years ago
P1=1*1!<br> P2= 1*1! + 2*2!<br> P3=1*1! + 3*3!<br> Make a general rule for Pn.
soldi70 [24.7K]

Answer:

I don't even know if what you typed is a actual question or not so I'm just gone guess it's....A or B?

Step-by-step explanation:

7 0
3 years ago
An employee receives a 2% raise once per year. If the employee's initial salary is $60,000.00, what will
satela [25.4K]

Answer:

The employee's salary after 9 years will be$70800

Step-by-step explanation:

find the % raise of the salary per year:2%×$60000=$1200

Then multiply the raise by the number of years:$1200×9=$10800

finally add the product with the initial salary:$10800+$60000=$70800

8 0
2 years ago
Other questions:
  • Simplify ((a/b)+2)((b/a)+2).
    13·1 answer
  • Find the whole. 700​% of what number is 5,950​?
    15·1 answer
  • How can you show that a generalization is likely correct? (in Math)
    6·2 answers
  • The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. A random sample of size 1
    15·1 answer
  • Define 7,080,267 in words
    12·2 answers
  • Which number is not rounded correctly? A. 1.254 rounded to 1.25 B. 20.7 rounded to 21 C. 0.632 rounded to 0.63 D. 13.76 rounded
    11·2 answers
  • The developer of an energy-efficient lawn mower engine claims that the engine will run continuously for 300 minutes on a single
    7·1 answer
  • You’re working at a theater where you are evaluating attendance at several events. From the first event to the second event, att
    8·1 answer
  • Scarlet has $85 to spend at the pet store. She is definitely buying a catfish for $12, a rainbow fish for $13, and a betta fish
    7·2 answers
  • Need help ASAP! Directions and problem in picture;) <br><br> What is the value of ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!