14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets at least 2 slices? (133) b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake? (83) 15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease. 99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive. a) What is the probability that someone who tests positive has the genetic disease? (Round to 3 decimals). 0.713 b) What is the probability that someone who tests negative does not have the disease? (Round to 6 decimals), 0.999566

14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets at least 2 slices? (133) b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake? (83) 15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease. 99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive. a) What is the probability that someone who tests positive has the genetic disease? (Round to 3 decimals). 0.713 b) What is the probability that someone who tests negative does not have the disease? (Round to 6 decimals), 0.999566

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: A person is trying to determine the height of a tower in the distance by first measuring the angle…

Q: what are the coterminal angles for -220 degress

A: We have to find the coterminal angles for -220° The definition of coterminal angles is, the angles…

Q: What is the difference in area covered by a single 12-inch windshield wiper operating with a central…

A: Given,Part (a): 12-inch windshield and central angle formed by windshield is 126 degree.Part (b): A…

Q: A small plane lands at a point 236 miles east and 84 miles north of the point at which it took off.…

A: Let the plane took off from point A and lands at point C. Given AB=236 miles, BC=84 miles and…

Q: 10 18

Q: 10x-10 8x + 10

A: Given that line are parallel to find the value of x we are using the property of Alternate angle

Q: ONLY COMPLETE THE PROBLEM THAT PERTAINS TO YOU: If you have exactly 3 vowels (not including y) in…

A: Please rate and feel free to ask any query about any part of the question .

Q: How do we get the measurement of angle C and angle D?

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Yup, I messed up the second triangle. Thank you for the clarification.

Q: Question 4 is in photo

A: A.The p-value of 0.036 indicates that there is a significant difference among the treatments at any…

Q: Radians are just another unit of measure for angles. We have been using degreess until now. Whose…

Q: Need this as an image please. Text is hard to understand.

Q: In your own words, state the Pythagorean Theorem.

A: Pythagoras theorem states that, in a right angled triangle, the sum of squares of other two sides of…

Q: I need to verify the image so I can have this: I= -S + 7142.86ln(S)-29094.80 the image to this…

A: According to question, given differential equation, dlds = -1 + 7142.86s,And solution of the given…

Q: 16 15

Q: What is the wavelength of the signal from an AM station with a frequency of 660 kHz?

A: Given: frequency =660 kHz

Q: The index of refraction of light in passing from a vacuuminto dense flint glass is 1.66. If the…

A: The index of refraction of light in passing from a vacuum into dense flint glass is 1.66 and the…

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: Construct an example of vertical angles and alternate exterior angles and summarize the terms in…

Q: 18 25

A: We need to find value of x.

Question

My answers are displayed in red, may I get a second pair of eyes on their correctness?

14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices.
a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets
at least 2 slices? (133)
b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice
cream cake and the other is red velvet cake? (83)
15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease.
99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive.
a) What is the probability that someone who tests positive has the genetic disease? (Round to 3
decimals). 0.713
b) What is the probability that someone who tests negative does not have the disease? (Round to 6
decimals). 0.999566

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: Write the given information

VIEW

Step 2: Find the number of ways to distribute 10 identical cake slices among 4 people under given conditions

VIEW

Step 3: Find the given probabilities

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 26 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Explain the formula of centered difference.
In complete sentences, explain the relationship between sec(a) and csc (3) if a and 3 are complementary angles. B
licschools.Instructure.com/courses/1376090/quizzes... of Question 9 Find ee meases of each of the other numbered angles
for the direction, I put down tan-1(40/20) and tan-1(-4/2) on my calculator and the answer i got for both was -63.4349... instead of 296.6 degrees, did i miss something or different settings on my calculator? my calculator is ti-30xs multiview
A turnpike driver had car trouble. He knew he that he had driven 12 mi from milepost 68 before the trouble started. Assuming he is confused and disoriented when he call for help when his trouble started, explain how he can determine his possible location.
how to if a triangle is a right angle
Two airplanes leave an airport, travelling in the same direction. Thirty minutes later, an observer on the groundsees the first plane with an angle of elevation measuring 64 degrees and an altitude of 9000 m. At the same time, thesecond plane has an angle of elevation of 36 degrees (in the opposite direction) and an altitude of 10 000 m. Find the airdistance between the two planes, rounded to the nearest kilometre. Draw the diagram.
What are 3 angles (at least one negative) that are co-terminal to 175 degrees?
What is the distance from the car to the base of the building?
Before 2017, a smart phone manufacturer’s phones had a diagonal length of 5.8 inches and an aspect ratio of 16:9. In 2017, they released a new phone that also had a 5.8-inch diagonal length, but an aspect ratio of 18.5:9. Some customers complained that the new phones had a smaller screen. Were they correct? If so, how much smaller was the new screen compared to the old screen?
11. You walk 30 feet back from the base of a tree and measure the angle of elevation to the top of the tree to be 72 degrees. Find the height of the tree. (Make sure your calculator is in the correct mode.)
The leaning tower of Pisa in Italy is 55.9 m tall and is leaned at an angle of 86˚ with the ground. If it casts a shadow of 45 m, what is the angle of elevation to the sun? Label the given information on the diagram.