I only need e) and f) In commuting to work, a professor must first get on a bus near her house and then transfer to a second bus. If the waiting time (in minutes) at each stop has a uniform distribution with A = 0 and B = 5, then it can beshown that the total waiting time Y has the pdf below.1-y250 sy < 5f(y) =15 sy< 10525y < 0 or y > 10(a) Sketch a graph of the pdf of Y.f(y)f(y)f(y)0.20k0.20|0.20k0.150.150.150.100.100.100.050.050.05y10268102461048f(y)0.20|0.150.100.05y1068(b) Verify thatf(y) dy = 1.10f(y) dy =++ (c) What is the probability that total waiting time is at most 3 min?(d) What is the probability that total waiting time is at most 8 min?(e) What is the probability that total waiting time is between 3 and 8 min?(f)What is the probability that total waiting time is either less than 2 min or more than 9 min?

Answered: (e) What is the probability that total…

(e) What is the probability that total waiting time is between 3 and 8 min? (f) What is the probability that total waiting time is either less than 2 min or more than 9 min?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 2, 18 15 В) 16 D) 21 18

Q: Compute f xetdx b) 플루+e c)플e d) 블zete-belr+e e) 플++e Question 1. a) 를 +뜻+c e4z 16 4

A: Given integral is ∫xe4xdx

Q: Under what conditions on u and v is II u + vII m = llull m + llvll m? Explain your answer.

Q: 7 8 17 А) 13 C) 11 В) 12 D) 9

Q: Solve for x

A: for the intersection of two chords :

Q: X=4uv-2u, y= - (uv +8uvw), and Z:9uvw Find acx.y,z) =

A: We have to find Jacobian.

Q: 8 10 A) 4 С) 5 В) 7 C D) 9

Q: 14 18 27 A) 21 С) 14 B) 28 D) 20

A: Solve for x

Q: ercise 4.22. Simplify the following set expressions. a) (AU AC)C b) (An A)C =) (AUB) N (ACUB)

A: Union and intersection

Q: If f(x)- 3x what is f(-2)? 2+21 6. A) 25 6. C) 25 6. D) B)

Q: Find the mode (peak value) AS ÜS fi LL UL 100 119 30 120 139 40 140 159 60 160 179 30 180 199 25

A: # mode value of the data =148. Option (B) correct

Q: P(X,Y) 1 2 3 К к к X 3 к 2к к д 기 к к

Q: (g) i–1 (h) i–2 (i) i -3

Q: 20 Find the F calculation value. A B C 10 13 17 14 14 15 12 15 16 a) 6 B) 24 NS)…

A: Hypothesis testing Hypothesis testing is conducted for the parameters of the population like…

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C…

Q: d) (hog)(x) e) (f-g)(x) f) (fog)(x)

Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

Q: Find a and B that solve the vector equation: 26 a +8 38

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

Q: [8 pts] 13) Use the Horizontal line test to determine which of these has an inverse: ギ,长。* a) b) c)…

A: Horizontal line test is use to determine whether the function is inverse or not. If Horizontal line…

Q: Please do the questions with handwritten working. I'm struggling to understand what to write

Q: 14) Solve for "x". a) In(x+5) y b) y e-5

Q: 6. e2x dx 3.

Q: 11 b. 12 a 11 If A = a | and B d. and AB = %3D Then The Values Of a and b are: A) a=1, b=6 B) a=2,…

Q: B) 4 3 1) Find AB for A = 3 1 4 and B=2 5 6 8

A: We have to find AB that is the multiplication of two matrices.

Q: f v=[4,2,-3] what is dot(v,v)?

Q: Find the mode (peak value) AS ÜS fi LL UL 100 119 30 120 139 40 140 159 60 160 179 30 180 199 25

A: It is a single value within the range of data which represents a group of individual values in a…

Q: 5. Solve for x. 5) s- A) 8 C) 10 -1+xX T k 2x+3 B) 2 D) -2 13 U 1 -V ➜

A: A detailed solution is given below.

Q: |a b c a If d e f =7 then 2d + a _2e+b 2f+c = g h i h а) 12 b) 7 c) 10 d) 14

A: Answer

Q: az if z : 2x What is 5y A) 2x/5 2 B) 5y -22 C) 5y2 D) Not enough information.

Q: Let å = [3,-2,1]; B = -21-1-2k; č= i+j;d36j. %3D nd (6+).d)? A) -2 C) -3 G) i + 2j - 2k B) 2 D) -1…

A: a→=3, -2, 1, b→=-2i-j-2k, c→=i+j Now, b→+c→=-2i-j-2k+i+j=-i-2k

Q: P(XN)! 1 2 3 I К к к 3 к 2 к к д к к к

A: The joint probability mass function is given below. P(X,Y) 1 3 9 1 k k k 2 k 2k k 3 k k k…

Question

100%

I only need e) and f)

In commuting to work, a professor must first get on a bus near her house and then transfer to a second bus. If the waiting time (in minutes) at each stop has a uniform distribution with A = 0 and B = 5, then it can be
shown that the total waiting time Y has the pdf below.
1
-y
25
0 sy < 5
f(y) =
1
5 sy< 10
5
25
y < 0 or y > 10
(a) Sketch a graph of the pdf of Y.
f(y)
f(y)
f(y)
0.20k
0.20|
0.20k
0.15
0.15
0.15
0.10
0.10
0.10
0.05
0.05
0.05
y
10
2
6
8
10
2
4
6
10
4
8
f(y)
0.20|
0.15
0.10
0.05
y
10
6
8
(b) Verify that
f(y) dy = 1.
10
f(y) dy =
+
+

(c) What is the probability that total waiting time is at most 3 min?
(d) What is the probability that total waiting time is at most 8 min?
(e) What is the probability that total waiting time is between 3 and 8 min?
(f)
What is the probability that total waiting time is either less than 2 min or more than 9 min?

Expert Solution

Step 1

Note: Since you have asked for subparts (e) and (f) that is why only these two subparts have been answered.

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Solve for x.
Given the function Ax) = x+1- determine the value of A3) 10 101 100
I For fiay a) = Vzy?z +4xg, xy,20, compude and
5. Let A = {-1,2} and B = {0,4,7}. Find the followings: a) A x B b) BX A c) A² d) B²
8. Find LF 14 12 3x + 3 E 7. 3x F B) 15 D) 24 A) 16 C) 18
7- Let A = l 1 Which one isA01 a) [1 01 b) 으9 d)
fiad the Residues of fa)= 2 22-1
Use the tables to evaluate: a) (Ug)(-1) b) (f o g)00) e) g-0) 7) x-1 0 1 2 g(x) 2 10 1 x-1 0 1 2
1) What is the value of 3) t. 2,0,2, scores
8.2 Several matrices are defined as follows: A = 47 12 56 B = 4 37 127 204 3 C = 6 158 E = 723 406 3 6 D= [24859] = - 1 7 F-[19] G=1764] 301] = 173
Part 1. For what values of x does f fail to be continuous? A) -5 B) -4 C) -3 D) -2 E) -1 G) 0 I) 1 H) 2 J) 3 K) 4 L) 5 Part 2. Now what for what values of x, does g fail to be continuous? A) -5 B) -4 C) -3 D) -2 E) -1 G) 0 I) 1 H) 2 J) 3 K) 4
What is the dimension of {(0, 1, 2), (0, 0, 6), (1, 5, 3)}? a. 4 с. 2 b. 3 d. 1