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6:04 Classwork 4.3.pdf Q .11 Math 159 Classwork 4.3 Name: 1) Determine if each of the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. a) X number Of correct in 20 multiple choice questions. (Assume all question have the same number Of choices.) Yes, it can be modeled by binomial Or NO, it cannot because b) X number Of red cards Out Of 5 drawn from a standard deck without replacement. Yes, it can be modeled by binomial Or No, it cannot because c) X commute time of a worker. Yes, it can be modeled by binomial Or No, it cannot because d) X = number of voters out of 50 voters who support candidate A. Assume 50 is less than 5% of population. Yes, it can be modeled by binomial Or No, it cannot because 2) use Statdisk/Analvsis/Probabilitv Distributions/Binomial distribution/ to find the following probability. Write the x-value and circle the column that can be used to find the probability the following. Round answer to four decimal places. a) 12, p = 0.38, probability of exactly 8 success out of 12. x value = , use: column p(x), or fewer), or greater) 8 success out of 12 ) = b) n 12, p = 0.38, probability Of 5 or fewer successes out Of 12. x value = , use: column p(x), or fewer), or greater) P( 5 or fewer successes out of 12 ) c) n = 12, p = 0.38, probability 8 or more successes out Of 12. x value , use: column p(x), or fewer), or greater) 8 or more successes out Of 12 ) = d) n = 12, p = 0.38, probability of more than 8 successes out of 12. x value , use: column P(x), P(x or fewer), P(x or greater) P( more than 8 successes) = e) n 12, p 0.38, probability of less than 8 successes out Of 12. x value = , use: column P(x), or fewer), or greater) less than 8 successes) 3) In a city, 45% of the population support candidate A. A sample of 15 residents are selected independently. a) Find the probability that exactly 12 of the 15 residents support candidate A. b) Find the probability that more than 8 residents support candidate A. c) Find the probability that at most 10 residents support candidate A. d) Find the mean, variance and standard deviation Of number Of resident support candidate A. e) What is the non-significant range of resident out of 15 who will support candidate A? 4) Batting Average is the relative frequency of number of hits over total times at bat. A baseball player has a batting average of 0.21. The player is to bat 16 times in a routine practice. a) Find the probability that the player can only make 1 hit. b) Find the probability that the player can make less than 6 hits. c) Find the probability that the player can at least 6 hits. d) Find the mean, variance and standard deviation of number of hits out of 16 bats. Dashboard Calendar To Do Notifications Inbox