5.5-9 a only (b) For the of n in part P(Yand the of the of a prepackaged(a) If X and Y have the sameX>0.2).5.55.5-7. Suppose that the distribution of the weight of aprepackaged "l-pound bag" of carrots is N(1.18, 0.07-)ou(3)-pound bag" of carrots is N(3.22, 0.09). Selectingbags at random, find the probability that the sum of three1-pound bags exceeds the weight of one 3-pound bag.HINT: First determine the distribution of Y, the sum of thethree, and then compute P(Y > W), where W is the weightof the 3-pound bag.5.5-8. Let X denote the wing length in millimeters of amale gallinule and Y the wing length in millimeters of afemale gallinule. Assume that X is N(184.09, 39.37) andY is N(171.93, 50.88) and that X and Y are independent.If a male and a female gallinule are captured, what is theprobability that X is greater than Y?5.5-9. Suppose that the length of life in hours (say, X) ofa light bulb manufactured by company A is N(800, 14400)and the length of life in hours (say, Y) of a light bulbmanufactured by company B is N(850, 2500). One bulb israndomly selected from each company and is burned until"death."(a) Find the probability that the length of life of the bulbfrom company A exceeds the length of life of the bulbfrom company B by at least 15 hours.(b) Find the probability that at least one of the bulbs"lives" for at least 920 hours.5.5-10. A consumer buys n light bulbs, each of which hasa lifetime that has a mean of 800 hours, a standard devia-tion of 100 hours, and a normal distribution. A light bulbis replaced by another as soon as it burns out. Assuming

Name: 5.5-9 a only (b) For the of n in part P(Yand the of the of a prepackag
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: 5.5-9 a only (b) For the of n in part P(Yand the of the of a prepackaged(a) If X and Y have the sameX>0.2).5.55.5-7. Suppose that the distribution of the weight of aprepackaged "l-pound bag" of carrots is N(1.18, 0.07-)ou(3)-pound bag" of carrots is

5.5-9 (a) The random variable X has the distribution N(800, 14,400) and the random variable Y has the distribution N(850, 2,500). It is known that if X~NμX , σX2 and Y~NμY , σY2, then X-Y~NμX-μY , σX2+σY2. The distribution of variable X-Y is given by, μX-μY =800-850=-50 σX2+σY2=14,400+2,500=16,900 The distribution of variable X-Y is N(-50, 16,900). The standard deviation for X-Y is, σX-Y=σX-Y2=16,900=130The z-score for X-Y being at least 15 is, z=x-μσ=15--50130=65130=0.50 The probability of z less than 0.50 can be obtained using the excel formula “=NORM.S.DIST(0.50,TRUE)”. The probability value is 0.6915. The probability is, PX-Y≥15=Pz≥0.50=1-Pz<0.50=1-0.6915=0.3085 Thus, the the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from company B by at least 15 hours is 0.3085.

Math

Probability

5.5-9. Suppose that the length of life in hours (say, X) of a light bulb manufactured by company A is N(800, 14400) and the length of life in hours (say, Y) of a light bulb manufactured by company B is N(850, 2500). One bulb is randomly selected from each company and is burned until "death." 14 (a) Find the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from company B by at least 15 hours. (b) Find the probability that at leanct

5.5-9. Suppose that the length of life in hours (say, X) of a light bulb manufactured by company A is N(800, 14400) and the length of life in hours (say, Y) of a light bulb manufactured by company B is N(850, 2500). One bulb is randomly selected from each company and is burned until "death." 14 (a) Find the probability that the length of life of the bulb from company A exceeds the length of life of the bulb from company B by at least 15 hours. (b) Find the probability that at leanct

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: 3.3 31 3 O 3 O 3평 37

Q: 4. If we randomly pull a number from B, what is the probability that it is also an element of A? P…

Q: 36 43 10-

A: The quartile deviation is computed by using the table below. The class boundaries are computed by…

Q: 60 27 2. + $6

Q: 2.3 Q13

A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

Q: 6— 4 X 1 5 = 20

A: Topic = Algebra

Q: 20 9.

Q: A 2/15 B 30 V35 5 20

A: Given, A circle with secant and tangent We have to find the value of x

Q: graph shows the relationship between the volume of the dilated box and the scale factor. diusuon 5.…

Q: Determine the value of

A: we have to determine the value of z to correspondingprobability value is 0.0400

Q: Which graph represents the following ellipse (z+1)ª + 16 (v-3)° 36 = 1?

Q: 2. 9=x-2y 3x + 5 = 2y

A: The given equations are system of linear equations in variables x and y. We solve these by…

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 8. 2 k=1 3k

Q: 60 6 30 V3/2

A: Topic:- trigonometry ratios

Q: 6. (r- 30)° ot

A: In this question ....we fint out all angles of triangles. we know that the sum of all angles of…

Q: Simplify. 7/16-V54

Q: 1 3. s'+3s²

A: We have to find Laplace inverse by convolution theorem.

Q: 2. tox²Sc.

Q: 7.2-2

A: Given: x y 644 623 493 472 532 492 462 661 565 540 502 549 518

Q: 3 33. 3 .2 3.

Q: This is the graph of a function f (x). What is the value of /, f (x) dx? (3, 1.5) (0, 0) 3 -2 -1 2 3…

A: Definite integral is the area under the graph with x axis. If a function is positive ( above the x…

Q: 8-8.2+5.0

Q: 5x + 8 = 78

A: We Solve the Equation, Find The value of x. Given Equation is 5x+8= 78.

Q: Solve and choose the graph that represents the solution. x²y" + xy +9y = 0, y(1) = 1, y' (1) = 2.5

Q: 3 -4 2 11. -9 12 -6 -6 8 -4

A: We use the gauss-Jordan elimination method to solve a system of linear equations. First of all, we…

Q: 9.2 q 10

A: We use Sin(a+b) = sin(a)cos(b) + cos(a) sin(b) Pythagoras theorem (Hypotenuse)2 =…

Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

5.5-9 a only

(b) For the of n in part P(Y
and the of the of a prepackaged
(a) If X and Y have the same
X>0.2).
5.5
5.5-7. Suppose that the distribution of the weight of a
prepackaged "l-pound bag" of carrots is N(1.18, 0.07-)
ou
(3)
-pound bag" of carrots is N(3.22, 0.09). Selecting
bags at random, find the probability that the sum of three
1-pound bags exceeds the weight of one 3-pound bag.
HINT: First determine the distribution of Y, the sum of the
three, and then compute P(Y > W), where W is the weight
of the 3-pound bag.
5.5-8. Let X denote the wing length in millimeters of a
male gallinule and Y the wing length in millimeters of a
female gallinule. Assume that X is N(184.09, 39.37) and
Y is N(171.93, 50.88) and that X and Y are independent.
If a male and a female gallinule are captured, what is the
probability that X is greater than Y?
5.5-9. Suppose that the length of life in hours (say, X) of
a light bulb manufactured by company A is N(800, 14400)
and the length of life in hours (say, Y) of a light bulb
manufactured by company B is N(850, 2500). One bulb is
randomly selected from each company and is burned until
"death."
(a) Find the probability that the length of life of the bulb
from company A exceeds the length of life of the bulb
from company B by at least 15 hours.
(b) Find the probability that at least one of the bulbs
"lives" for at least 920 hours.
5.5-10. A consumer buys n light bulbs, each of which has
a lifetime that has a mean of 800 hours, a standard devia-
tion of 100 hours, and a normal distribution. A light bulb
is replaced by another as soon as it burns out. Assuming

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Permutation and Combination$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.