19.Use the following random compound experiment:A coin is flipped, and a ball is drawn from a bag that contains 5 red balls, 2 yellow balls, and 3 blueballs.Part A: Draw and label the tree diagram for this compound experiment.Part B: List the sample space at the end of each branch.Part C: Compute the probabilities for each simple event.Event D = {The ball drawn is yellow}Event E= {The coin lands on tails}Part D: What is the probability of D? Answer: p(D)=_Part E: What is the probability of DU E? Answer: p (DE) =_Part F: Are D and E independent events? Defend your answer mathematically.Answer: YES or NO (circle one)321

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Answered: 19. Use the following random compound…

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...

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Part 1
1. Please help with this problem and show all work, thank you so much!!
Use Binomial Distribution for the following problems. 1. Find the probability of 3 successes among 5 trials if success probability is 0.09. 2. There is a 1% delinquency rate for consumers with FICO credit score above 800. We choose a random sample of 5 people with FICO score above 800. a) Find the probability 2 of them become delinquent. b) Find the probability that none of them become delinquent. c) Find the mean and the standard deviation of the distribution. d) Is it unusual to see 4 out of 5 people become delinquent? 3. About 7% of people in orld are known to have O negative blood type. Find the following probabilities in 4 trials. a) 3 have O negative blood type. b) All of them have O negative blood type. c) Is it unusual to find all of them have O negative blood type? 99+ Desktop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Ir & 5 8. 6.
There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, yourandomly select a ball, see the color of it and put it back in the bag. You keep doing thisrepeatedly.a. What is the probability that you get the first red ball on the 5th turn?b. How many turns are expected to get one non-white ball?c. What is the variance of the number of turns required to get one blue ball?
A fair coin is flipped, and a six-sided fair die is thrown at the same time. Give the sample space for the experiment above. What is the probability of getting a 3 on the die if a tail showed up on the coin?
ACTIVITY NO. 5: COMPUTING PROBABILITY CORRESPONDING TO A GIVEN RANDOM VARIABLE NAME: . TRACK/STRAND & SEC.: SCORE: (HOW MANY SIBLINGS DO THE LEARNERS HAVE) In your Statistics class, the teacher wants to know the number of siblings the learners have. Teacher: How many of the class have 0 sibling? Class: (There were 2 learners who raised their hands.) Teacher: How many of you has 1 sibling? Class: (There were 10 learners who raised their hands.) This continues until 7 siblings. Suppose that we have the following table of frequencies. Let us use W to represent the number of sibling/s. Probability of the jRandom Variable (W) P(W) 2/50 = 0.04 = 4% 10/50= 0.2% = 20% 28/50=0.56%=56% 5/50=0.1 = 10% 3/50=0.06 6% 1/50=0.02 = 2% W= Number of siblings Frequency %3D 1 10 %3D 28 3 4 3 %3D 1 7 1 1/50-0.02 2% Total
Question 21
Write about the role of box-and-plots in statistical random experiments. The double whisker plots of the homework time (in minutes) per night with TV time per night of the same group of the students are: a) What percent of the students work on homework for at least 48 minutes per night? b) What percent of the students watch TV for at least 15minutes per night? c) Is it more common for the students at this university to spend more than 1 hour on homework and more than 1 hour on watching TV also? Explain.

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