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
Tju [1.3M]
3 years ago
7

The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 25 to 46 minutes. Let X d

enote the time until the next bus departs. The distribution is and is . The mean of the distribution is μ= . The standard deviation of the distribution is σ= . The probability that the time until the next bus departs is between 30 and 40 minutes is P(30
Mathematics
2 answers:
ch4aika [34]3 years ago
5 0

Answer:

Step-by-step explanation:

The distribution is Uniform and is continuous.

We are given a = 25 and b = 446

The mean of the distribution is

Mean = µ = (a + b) / 2

= (25 + 44) / 2

= 34.5

The standard deviation of the distribution is  

SD = σ = (b – a) / sqrt(12)

= (46 – 25) / sqrt(12)

= 21/3.464102

= 6.062minutes

SD = σ = 6.062minutes

Now, we have to find P(30<X<40)

P(30<X<40)

= (40 – 30) / (46 – 25)

= 10/19

= 0.4762

Required probability = 0.4762

Now, we have to find the value of a for which P(X≤a) = 0.9

We have, P(X≤a)

= (a – 25) / (46 – 25)

= (a – 25) / 21

(a – 25) / 21 = 0.9

(a – 25) = 0.9*21

So, a = 18.9 + 25 = 43.

a = 43.9

= 43.9minutes

SCORPION-xisa [38]3 years ago
3 0

Answer:

The distribution is uniform and is continuous probability distribution.

The mean of the distribution is μ= <u>35.5 minutes</u>.

The standard deviation of the distribution is σ= <u>6.06 </u>

P(30<x<40)= 0.476

Step-by-step explanation:

a.The amount of time in minutes until the next bus departs is uniformly distributed between 25 and 46 inclusive.

The distribution is<u> uniform</u> and is <u>continuous probability distribution.</u>

b.Let X be the number of minutes the next bus arrives and a= 25 , b= 46. Hence mean = a+b/2= 25+ 46/ 2= 35.5 minutes.

The mean of the distribution is μ= <u>35.5 minutes</u>.

c. Standard deviation =   √(b-a)²/12

Standard deviation= √(46-25)²/12= √(21)²/12= √441/12=√36.75= 6.06

The standard deviation of the distribution is σ= <u>6.06 </u>

d. P(30<x<40)

<em>For this we draw a graph . It is also called the rectangular distribution because its total probability is confined to a rectangular region with base equal to (b-a) and height 1/(b-a) .</em>

This can be calculated as

P(30<x<40)= base * height  (in this probability the base is 10)

= (40-30) *(1/ 21)= 10/21= 0.476  

You might be interested in
If you can, answer at least 2 question I put 10 points on it
igomit [66]

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4     + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x         -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x          -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

8 0
3 years ago
What is the product of (1.9*10^-3)(2*10^4)
RoseWind [281]

Answer:

to solve use the distributive property and multiply

Step-by-step explanation:

I'm sorry I do not have the product

4 0
3 years ago
Read 2 more answers
swewtypie baking cimpany had 91 eggs then employees used 17 eggs ti make cookie how many eggs are left​
VashaNatasha [74]

Answer:

74 eggs are left

Step-by-step explanation:

91-17=74

7 0
3 years ago
X y
xz_007 [3.2K]

Answer:

If x = 3y and 3y = x, then y = 1/3x.

3 0
3 years ago
Al's Awesome Autos advertised a special sale on cars - Dealer cost plus 5%!! Jack and Margaret ought a luxury sedan for $23,727.
Alex17521 [72]
105/23727.90=100/x
105x=23727.90x100
105x=2372790
(105x)/105=2372790/105
x=22598

dealers cost is $22,598

the 105% is the 100% price of the car plus the 5% of that tax or whatever it is
5 0
3 years ago
Other questions:
  • The heights of three flower pots are 45cm 30cm and 10cm.
    5·1 answer
  • Write an equation of a line through (2,7.5) with an x-intercept of -1
    6·1 answer
  • Find the product. -1/2y(2y 3 - 8) A) -y 4 + 4y B) y 4 + 4y C) -2y 3 + 4
    5·2 answers
  • Please someone help :) thanks ; )
    15·2 answers
  • The two colons are for the answer
    12·2 answers
  • Graph the line with the slope -3/4 passing through the point (4,-1)
    10·1 answer
  • What is 9,235,009 rounded to the nearest hundred thousand
    12·2 answers
  • What is the perpendicular slope of m= -3/2
    8·1 answer
  • Which ratio is greater? 3 : 4 or 5:6​
    14·1 answer
  • QUESTION 18
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!