![Practice Problems 2 Due: Tuesday February 5 : Suppose you roll a weighted die so that the probabilities of each face showing is as follows Number Showing0.15 Probability 0.10 0.15 0.10 0.15 a. Solve for x b. What is the probability of rolling an even number? c. What is the probability of rolling two even numbers? Suppose you roll the dice two times. What is the probability that the sum of the two rolls is not equal to 8? d. 2. A frequency distribution for the number of cars owned by each of 6400 famililes in a sample from Phoenix is as follows. Let A event that the family owns at most 4 cars and B- family owns at least 3 cars. event that the Cars Owned 0 Count (0 1700 324 56 30 1425 a. Compute the probability of the event (A or B]. b. Compute the probability of the event (not A). Are events A and B mutually exclusive? Hint: Use the general rule for addition to find the answer c.](http://img.homeworklib.com/questions/6e16eb90-75d2-11ea-a3ea-23dc97a72c32.png?x-oss-process=image/resize,w_560)
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Practice Problems 2 Due: Tuesday February 5 : Suppose you roll a weighted die so that...
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random...
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [O, j]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions. (a) Compute the probability that the first roll is 6. b) Compute the probability that the first two rolls are both 6. (c) Let Si be...
Suppose you have a die that has probability p of resulting in the outcome 6 when...
Suppose you have a die that has probability p of resulting in
the outcome 6 when rolled, where p is a continuous random variable
that is uniformly distributed over [0,1/3]. Suppose you start
rolling this die. (The value of p does not change once you start
rolling.) Give exact answers as simplified
fractions.
a) Compute the probability that the first roll is 6.
b) Compute the probability that the first two rolls are both
6.
c) Let Sy be the...
This question is due my 11:50pm EST One die is rolled 2 times in a row. ...
This question is due my 11:50pm EST One die is rolled 2 times in a row. The observation is the number that comes up on each roll (rolling 2 and 5 is not the same as rolling 5 and 2). Describe one outcome and find a number of outcomes. Write all outcomes of the sample space S (you can use … notation to indicate many numbers of cases). : “pairs are rolled” (both dice come up the same number) Write...
Suppose you roll two dice. Assume one is red and one is blue so that they...
Suppose you roll two dice. Assume one is red and one is blue so that they are distinguishable. Let A be the event "The sum of the two dice is 7." and B be the event "The red die is 4." and C be the event "The difference of the two dice is even." a.) Are A and B independent? Justify your answer. b.) Are B and C independent? Justify your answer. c.) Are A and C independent? Justify your...
(2) What is the sample space you obtain if a fair coin and a die are...
(2) What is the sample space you obtain if a fair coin and a die are tossed? (3) Suppose there is a machine which randomly selects two digits from a collection of , 2, a. What are the sample points contained in the event that the sum of the two digits b. What are the sample points contained in the event that the absolute difference (4) Suppose that vehicles taking a particular freeway exit can turn right (R), turn left...
Suppose that you flip five fair coins and roll three fair dices at the same time...
Suppose that you flip five fair coins and roll three fair dices at the same time and all the events are independent. (a) What is the probability that exactly two coins land heads up and one dice shows a six? (b) What is the probability that at least four coins land heads up and two dices show a number less than three? (c) What is the probability that the total number of heads is an even-number and the addition of...
4-2: Problem 6 Previous Problem Problem List Next Problem (1 point) Suppose that you roll two...
4-2: Problem 6 Previous Problem Problem List Next Problem (1 point) Suppose that you roll two 6 sided dice. a) What is the size of the sample space? b) What is the probability that the sum of the dice is a 6? c) What is the probability that the sum of the dice is at least a 6? d) What is the probability that the sum of the dice is a prime number?
Thank you!!! 4.1 [2 pts. int rollO Define a function roll() that takes no arguments, and...
Thank you!!!
4.1 [2 pts. int rollO Define a function roll() that takes no arguments, and returns a random integer from 1 to 6. Before proceeding further, we recommend you write a short main method to test it out and make sure it gives you the right values. Comment this main out after you are satisfied that roll() works. Remenber:texibook Seciion 49 is on randormness, and Chapier 5is on functions. int getKandomNumber return 4 l chosen by fair dice roll....
1. 2. 3. 4. 5. 6. 7. Shawna reads a scatterplot that displays the relationship between...
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7.
Shawna reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation. Shawna recalls that correlation does not imply causation. In this example, Shawna sees that increasing the number of cars per household would not cause members of her community to purchase health insurance. Identify the lurking...
You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling...
You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling a 6 or a number greater than 3 (b) Rolling a number less than 4 or an even number (c) Rolling a 4 or an odd number (a) P(6 or number> 3)- (Round to three decimal places as needed) (b) P/1 or 2 or 3 or 4 or 6)-( Round to three decimal places as needed.) (c) P(4 or 1 or 3 or 5)...
Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [O, j]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions. (a) Compute the probability that the first roll is 6. b) Compute the probability that the first two rolls are both 6. (c) Let Si be...
Suppose you have a die that has probability p of resulting in
the outcome 6 when rolled, where p is a continuous random variable
that is uniformly distributed over [0,1/3]. Suppose you start
rolling this die. (The value of p does not change once you start
rolling.) Give exact answers as simplified
fractions.
a) Compute the probability that the first roll is 6.
b) Compute the probability that the first two rolls are both
6.
c) Let Sy be the...
(2) What is the sample space you obtain if a fair coin and a die are tossed? (3) Suppose there is a machine which randomly selects two digits from a collection of , 2, a. What are the sample points contained in the event that the sum of the two digits b. What are the sample points contained in the event that the absolute difference (4) Suppose that vehicles taking a particular freeway exit can turn right (R), turn left...
Suppose that you flip five fair coins and roll three fair dices at the same time and all the events are independent. (a) What is the probability that exactly two coins land heads up and one dice shows a six? (b) What is the probability that at least four coins land heads up and two dices show a number less than three? (c) What is the probability that the total number of heads is an even-number and the addition of...
4-2: Problem 6 Previous Problem Problem List Next Problem (1 point) Suppose that you roll two 6 sided dice. a) What is the size of the sample space? b) What is the probability that the sum of the dice is a 6? c) What is the probability that the sum of the dice is at least a 6? d) What is the probability that the sum of the dice is a prime number?
Thank you!!!
4.1 [2 pts. int rollO Define a function roll() that takes no arguments, and returns a random integer from 1 to 6. Before proceeding further, we recommend you write a short main method to test it out and make sure it gives you the right values. Comment this main out after you are satisfied that roll() works. Remenber:texibook Seciion 49 is on randormness, and Chapier 5is on functions. int getKandomNumber return 4 l chosen by fair dice roll....
1.
2.
3.
4.
5.
6.
7.
Shawna reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation. Shawna recalls that correlation does not imply causation. In this example, Shawna sees that increasing the number of cars per household would not cause members of her community to purchase health insurance. Identify the lurking...
You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling a 6 or a number greater than 3 (b) Rolling a number less than 4 or an even number (c) Rolling a 4 or an odd number (a) P(6 or number> 3)- (Round to three decimal places as needed) (b) P/1 or 2 or 3 or 4 or 6)-( Round to three decimal places as needed.) (c) P(4 or 1 or 3 or 5)...
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