1) A box contains 17 fuses. 6 of them are rated at 10 amperes (A) and...
1) A box contains 17 fuses. 6 of them are rated at 10 amperes (A) and the other 11 are rated at 15 A. Two fuses are selected at random. What is the probability that the second fuse is rated at 15 A, given that the first fuse is rated at 10 A?
Homework Answers
It is already given that first fuse is 10 A rated. So, now for the second fuse, sample space is reduced to 11 fuses of 15A and 5 fuses of 10A.
So we want to find probability on this reduced sample space that 2nd fuse is 15A rated.
Required probability = No.of remaining 15A rated fuses/ No. of remaining total fuses = 11 / 16 = 0.6875
Dear student, if you find this answer helpful, do provide your feedback through rating.
Add Answer to:
1) A box contains 17 fuses. 6 of them are rated at 10 amperes
(A) and...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
4. A box of 40 fuses contains 10 fuses which are defective. If you randomly choose a collection of 5 fuses from the box...
4. A box of 40 fuses contains 10 fuses which are defective. If you randomly choose a collection of 5 fuses from the box, what is the probability that 0 or 1 of the 5 fuses in your collection will be defective?
7. (10 pts.) Of 100 boxes of fuses containing 5 fuses per box, 20 boxes contain...
7. (10 pts.) Of 100 boxes of fuses containing 5 fuses per box, 20 boxes contain fuses from factory A, 30 boxes from factory B, and 50 boxes from factory C. Fuses from A are on average 5% detective; from B 4% defective, and from C, 2%. A box is selected at random, and a fuse in it is tested and found to be defective. What are the probabilities that it was produced at A, B, or C respectively?
There are two fuses in an electrical device. Let X denote the lifetime of the first...
There are two fuses in an electrical device. Let X denote the lifetime of the first fuse, and let y denote the lifetime of the second fuse (both in years). Assume the joint probability density function of X and Y is f(x,y) = (x? + 2 + 2) 0<x< 1, 0 < y < 2 a. What is the probability that both fuses last at most 4 months? b. What is the probability that the first fuse lasts less than...
1. An oil compan y conducts a geological study that indicates that an exploratory oil 0% chance of striking oil (sequentially, what is the probability second strike comes on the third well drille...
1. An oil compan y conducts a geological study that indicates that an exploratory oil 0% chance of striking oil (sequentially, what is the probability second strike comes on the third well drilled? What is the probability that well should have a 2 that the the third strike comes on the seventh well drilled? selected at random without replacement, what is the probability that there is no fuse is defective? 2. Suppose that a fuse box containing 17 fuses of...
There are two fuses in an electrical device. Let X denote the lifetime of the first...
There are two fuses in an electrical device. Let X denote the lifetime of the first fuse, and let y denote the lifetime of the second fuse both in years). Assume the joint probability density function of X and Yis f(x,y) – $(x +2y). 0<x<1, 0 <y<2 a. What is the probability that both uses last longer than 4 months? b. What is the probability that the second fuse lasts less than 3 months given that the first fuse last...
A box in a supply room contains 20 compact fluorescent lightbulbs, of which 6 are rated...
A box in a supply room contains 20 compact fluorescent lightbulbs, of which 6 are rated 13-watt, 9 are rated 18-watt, and 5 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? (b) What is the probability that all three of the bulbs have the same rating? (c) What is the probability that one bulb...
1) box 1 contains 10 cookies of which 6 are broken and 4 are good. Box...
1) box 1 contains 10 cookies of which 6 are broken and 4 are good. Box 2 contains 12 cookies of which 7 are broken and 5 are good. If the cookie selected is broken, what is the probability that box 1 was selected? 2)The probability that a given line of computer code has a mistake in it is 0.02. Suppose there are 20 such lines of code and that the mistakes occur independently from line to line. a. Calculate...
1. (20 pts) A box contains 40 diodes of which 10 are known to be bad....
1. (20 pts) A box contains 40 diodes of which 10 are known to be bad. (a) A diode is selected at random. What is the probability that it is bad? (b) If the first diode drawn from the box was good, what is the probability that a second diode drawn will be good?
A box in a supply room contains 23 compact fluorescent lightbulbs, of which 8 are rated...
A box in a supply room contains 23 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 6 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three de places.) (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? 0.13 (b) What is the probability that all three of the bulbs have the same rating? 0.0974 (c) What is the probability that...
Problem 8 A large box of fuses contains 10% defectives. Four fuses are randomly selected from the box. Find: a) Probability that exactly one fuse is defective b) Probability that at least one fuse of the four selected is defective Now suppose these four sampled fuses are shipped to a customer before being tested. Assume the cost of fixing' a shipment with defective fuses is given by C- 3Y2 where Y is the number of defectives in the shipment of...
4. A box of 40 fuses contains 10 fuses which are defective. If you randomly choose a collection of 5 fuses from the box, what is the probability that 0 or 1 of the 5 fuses in your collection will be defective?
7. (10 pts.) Of 100 boxes of fuses containing 5 fuses per box, 20 boxes contain fuses from factory A, 30 boxes from factory B, and 50 boxes from factory C. Fuses from A are on average 5% detective; from B 4% defective, and from C, 2%. A box is selected at random, and a fuse in it is tested and found to be defective. What are the probabilities that it was produced at A, B, or C respectively?
There are two fuses in an electrical device. Let X denote the lifetime of the first fuse, and let y denote the lifetime of the second fuse (both in years). Assume the joint probability density function of X and Y is f(x,y) = (x? + 2 + 2) 0<x< 1, 0 < y < 2 a. What is the probability that both fuses last at most 4 months? b. What is the probability that the first fuse lasts less than...
1. An oil compan y conducts a geological study that indicates that an exploratory oil 0% chance of striking oil (sequentially, what is the probability second strike comes on the third well drilled? What is the probability that well should have a 2 that the the third strike comes on the seventh well drilled? selected at random without replacement, what is the probability that there is no fuse is defective? 2. Suppose that a fuse box containing 17 fuses of...
There are two fuses in an electrical device. Let X denote the lifetime of the first fuse, and let y denote the lifetime of the second fuse both in years). Assume the joint probability density function of X and Yis f(x,y) – $(x +2y). 0<x<1, 0 <y<2 a. What is the probability that both uses last longer than 4 months? b. What is the probability that the second fuse lasts less than 3 months given that the first fuse last...
A box in a supply room contains 20 compact fluorescent lightbulbs, of which 6 are rated 13-watt, 9 are rated 18-watt, and 5 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? (b) What is the probability that all three of the bulbs have the same rating? (c) What is the probability that one bulb...
1. (20 pts) A box contains 40 diodes of which 10 are known to be bad. (a) A diode is selected at random. What is the probability that it is bad? (b) If the first diode drawn from the box was good, what is the probability that a second diode drawn will be good?
A box in a supply room contains 23 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 6 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three de places.) (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? 0.13 (b) What is the probability that all three of the bulbs have the same rating? 0.0974 (c) What is the probability that...
Most questions answered within 3 hours.
-
Here is a pair of aromatic compounds that each have a complicated
set of aromatic peaks....
asked 13 minutes ago -
As with many public goods, determining the appropriate level of
government support for the production of...
asked 16 minutes ago -
Write a balanced chemical equation for the oxidation reaction
between Caro’s acid (H2SO5) and CN– ion...
asked 19 minutes ago -
Calculate the number of valence electrons for
[Mo(C6H6)(CO)3]
asked 30 minutes ago -
Which of the following are true about the strength of the
association between two variables?
1-...
asked 26 minutes ago -
You are a monopolist and know that your consumers have a linear
demand curve. At what...
asked 25 minutes ago -
Raising a heavy load requires work. Raising it in half the time
requires:
asked 32 minutes ago -
MGT-201: Marketing Management
Before deciding on the structure of the channel marketers must
take several factors...
asked 31 minutes ago -
1. ACLs allow a router to control traffic within a network. The
concept is very similar...
asked 33 minutes ago -
35. When the electron in a hydrogen atom falls from its first
excited energy level to...
asked 34 minutes ago -
A man is dragging a box of mass "m" by using a rope which rests
on...
asked 51 minutes ago -
Liquid octane
(CH3(CH2)6CH3) will
react with gaseous oxygen (O2) to produce gaseous carbon
dioxide (CO2) and...
asked 52 minutes ago