Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Rolling a single die 57 times, keeping track of the numbers that are rolled. Not binomial: there are too many trials. Not binomial: there are more than two outcomes for each trial. Procedure results in a binomial distribution. Not binomial: the trials are not independent. Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Rolling a single die 47 times, keeping track of the "fives" rolled. Not binomial: there are more than two outcomes for each trial. Not binomial: the trials are not independent. Not binomial: there are too many trials. Procedure results in a binomial distribution. Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Choosing 5 people (without replacement) from a group of 58 people, of which 15 are women, keeping track of the number of men chosen. Not binomial: there are more than two outcomes for each trial. Not binomial: the trials are not independent. Procedure results in a binomial distribution. Not binomial: there are too many trials. PreviousNext Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Choosing 10 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen. Not binomial: the trials are not independent. Not binomial: there are too many trials. Procedure results in a binomial distribution. Not binomial: there are more than two outcomes for each trial. Determine whether the given procedure results in a binomial distribution. If not, state the reason why: Choosing 10 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen. Not binomial: there are more than two outcomes for each trial. Procedure results in a binomial distribution. Not binomial: the trials are not independent. Not binomial: there are too many trials. PreviousNext Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 5, x = 2, p = 0.70 0.464 0.198 0.132 0.700 Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 30, x = 5, p = 15 0.172 0.067 0.421 0.198 Find the indicated probability. Round to three decimal places. In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority? 0.913 0.985 0.982 0.055 In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a followup survey, what is the probability that 3 of them entered a profession closely related to their college major? 0.865 0.135 0.149 0.0512 Multiplechoice questions on a test each have 4 possible answers, one of which is correct. Assume that you guess the answers to 4 such questions. Use the multiplication rule to find the probability that the first two guesses are wrong and the third and fourth guesses are correct. That is, find P(WWCC), where C denotes a correct answer and W denotes a wrong answer. 0.0352 0.128 0.0435 0.384 Multiplechoice questions on a test each have 4 possible answers, one of which is correct. Assume that you guess the answers to 4 such questions. The complete list of all of the possible arrangement of 2 wrong answers and two correct answers will show haw many separate arrangements? Use pp. 225 226; number 13 (answers in the back of the book) for a similar problem. 6 possible arrangements 3 possible arrangements 1 possible arrangement 4 possible arrangements Find the mean, , for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. n = 44; p = 0.2 Mean is 9.1 Mean is 8.8 Mean is 9.5 Mean is 8.3 Find the mean, , for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. n = 40; p = 3/5 Mean is 23.5 Mean is 24.7 Mean is 24.3 Mean is 24.0 Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n = 21; p = 0.2 Standard deviation is 5.10 Standard deviation is 5.95 Standard deviation is -0.58 Standard deviation is 1.83 Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n = 639; p = 0.7 Standard deviation is 14.85 Standard deviation is 11.58 Standard deviation is 15.70 Standard deviation is 9.17 Use the given values of n and p to find the minimum usual value 2 and the maximum usual value + 2. Round your answer to the nearest hundredth unless otherwise noted. n = 108, p = 0.24 Minimum: 17.04; maximum: 34.8 Minimum: 34.8; maximum: 17.04 Minimum: 21.48; maximum: 30.36 Minimum: -13.48; maximum: 65.32 Use the given values of n and p to find the minimum usual value 2 and the maximum usual value + 2. Round your answer to the nearest hundredth. n = 1056, p = 0.80 Minimum: 831.8; maximum: 857.8 Minimum: 870.8; maximum: 818.8 Minimum: 826.42; maximum: 863.18 Minimum: 818.8; maximum: 870.8 According to a college survey, 22% of all students work full time. Find the mean for the number of students who work full time in samples of size 16. 4.0 3.5 0.2 2.8 Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than 2 or greater than + 2. A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual to get 698 consumers who recognize the Dull Computer Company name? Yes No According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16. 1.7 2.6 1.9 3.5 All of the following are requirements for the Poisson Distribution except: The occurences must be random. The random variable x is the number of occurences of an event over some interval. The occurences must be uniformly distributed over the interval being used. The occurences must be dependent to each other. The Poisson Distribution is often used to describe: Range rule of thumb Dependent binomial distributions with large probabilities Normal distributions Behavior of rare events The Range Rule of Thumb can be applied to determine if data is unusual if you have: A high number of trials A strong opinion of 'what is usual'? Variation in statistical interpretation The mean and the standard deviation of the data When using a binomial probability distribution, always assign which two values to the same category? x and p x and q p and q n and q A binomial probability distribution results from a procedure that meets all of the following requirements except: The trials may have multiple outcomes. The procedure has a fixed number of trials. The trials must be independent. The probability of a success remains the same in all trials. Previous