A state lottery randomly chooses 4 balls numbered 1 though 43 without replacement. You choose 4 numbers

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...
Question
A state lottery randomly chooses 4 balls numbered 1 though 43 without replacement. You choose 4 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values of n, p, and q and list the possible values of random variable x.
A state lottery randomly chooses 4 balls numbered from 1 through 43 without replacement. You choose 4 numbers and purchas
lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possib
Is the experiment binomial?
O A. No, because the probability of success is different for each trial.
O B. Yes, there are a fixed number of trials and the trials are independent of each other.
O C. No, there are more than two outcomes for each trial.
O D. Yes, the probability of success is the same for each trial.
Identify a success. Choose the correct answer below.
O A. A success is matching one of the numbers in the lottery.
O B. A success is matching all of the numbers in the lottery.
C. A success is the number of matches on your ticket to the numbers drawn in the lottery.
O D. The experiment is not binomial.
Specify the values n, p, and q. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. n=
p=
q =
(Type integers or decimals.)
O B. The experiment is not binomial.
List the possible values of the random variable x. Choose the correct answer below.
O A. The possible values for x are 1, 2, 3, 4, .., 43.
O B. The possible values for x are 1, 2, .., 4.
O C. The experiment is not binomial.
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Transcribed Image Text:A state lottery randomly chooses 4 balls numbered from 1 through 43 without replacement. You choose 4 numbers and purchas lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possib Is the experiment binomial? O A. No, because the probability of success is different for each trial. O B. Yes, there are a fixed number of trials and the trials are independent of each other. O C. No, there are more than two outcomes for each trial. O D. Yes, the probability of success is the same for each trial. Identify a success. Choose the correct answer below. O A. A success is matching one of the numbers in the lottery. O B. A success is matching all of the numbers in the lottery. C. A success is the number of matches on your ticket to the numbers drawn in the lottery. O D. The experiment is not binomial. Specify the values n, p, and q. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. n= p= q = (Type integers or decimals.) O B. The experiment is not binomial. List the possible values of the random variable x. Choose the correct answer below. O A. The possible values for x are 1, 2, 3, 4, .., 43. O B. The possible values for x are 1, 2, .., 4. O C. The experiment is not binomial. MacBook Air 888 esc F3 F4 @ %23 24 2 3 Q W E R
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