An angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.

An angler fishes half of their time at East Delaney Lake, one quarter of their time at South Delaney Lake, and one quarter of their time at North Delaney Lake. Each lake has only two types of trout, brown trout and cutthroat trout. In East Delaney Lake, 6% of the trout are brown trout. In South Delaney Lake 64% of the trout are brown trout. In North Delaney Lake 69% of the trout are brown trout. Assume that any individual trout fish has the same chance of being caught by an angler spending time at that lake. Given that the angler caught a brown trout, what is the conditional probability that they caught the trout on North Delaney Lake? Use three decimal place accuracy.

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

Similar questions

An electrical contractor pays his subcontractors a fixed fee plus mileage for work completed each day. On a given day, the contractor is faced with three jobs associated with various projects. Shown in the table below are the distances (in miles) between each subcontractor and the job sites of the projects. The electrical contractor wants to minimize the total miles traveled by the subcontractors. Projects Subcontractors A B C Voltage Plus 50 36 16 Resistance 28 30 18 Amp Ears 35 32 20 Sparky's 25 25 14 Write the Constraints
The prices of 3 commodities X, Y Z are not known. A sells 5 units of X, 4 units of Z and purchases 6 units of Y. B sells7 units of X, 4 units of Y and purchases 3 units of Z. C sells 2 units of X, one unit of Y and 6 units of Z. In this process,A, B and C earn respectively Rs. 15, Rs. 19 and Rs. 46. Find the prices of the commodities X, Y and Z
An electronics retailer list the sales (in thousands) of certain products in three cities for the prior quarter. During that period tablets sold for $243, laptops sold for $763, cell phones sold for $158, and DVR sold for $661. City 1 City 2 City 3 Tablets 78 68 42 Laptop Computers 53 30 34 Cell Phones 54 67 61 Personal DVR 66 41 48 City 1's total sales : thousand dollars City 2's total sales : thousand dollars City 3's total sales : thousand dollars
b. Number of boys and girls in each block: Let's say you want to graph the number of boys and girls in each grade level in a school. You have five grade levels: kindergarten, first grade, second grade, third grade, and fourth grade. In kindergarten, there are 15 boys and 10 girls. In first grade, there are 20 boys and 18 girls. In second grade, there are 12 boys and 14 girls. In third grade, there are 16 boys and 20 girls. In fourth grade, there are 18 boys and 16 girls.Make an appropriate graph for this situation in EXCELShow the steps on how you made it
A chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special. The chef can either prepare 50, 100, or 150 lava cakes. Assume that demand for the lava cakes can be 50, 100, or 150. Each dish costs $5 to make and is priced at for $7 on the menu. Unsold cakes are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. The cafe owner told the chef that in the past years, the probability that clients will order 50 cakes is 0.30; the probability they will order 100 cakes is 0.50, and the probability that they will order 150 cakes is 0.20. What is the best alternative using the EMV criterion?
A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?
Edward and Bella went to the Forks High School annual sports awards ceremony. They had seat numbers 245 and 246, and looked at the seating guide on their program to help them find what row they are in. Here is part of that seating guide: Row 5: 37 38 39 40 41 42 43 44 45 46 47 48 49 50 (14 seats) Row 4: 25 26 27 28 29 30 31 32 33 34 35 36 (12 seats) Row 3: 15 16 17 18 19 20 21 22 23 24 (10 seats) Row 2: 7 8 9 10 11 12 13 14 (8 seats) Row 1: 1 2 3 4 5 6 (6 seats)
In a factory, machines R, S and T are all producing metal rods of the same length. Machine R produces 35% of the rods, machine S produces 40% and the rest are produced by machine T. Of their production of rods, machines R, S and T produce 4%, 5% and 3% defective rods respectively.
A computer manufacturer buys 30% of its chips from supplier A and the rest from supplier B. Two percent of the chips from supplier A are defective, as are 4% of the chips from supplier B. Approximately what percentage of the defective chips are from supplier B?
In case of LSD, each row and each column should be a complet Column. Block. Row. Design
The owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per month