Question

1. The probability of students choosing the left lunch line at school isp 0.431. Find the variance of the binomial distribution of 982 students choosing the left lunch line today (I point) 0423.2 558.8 15.5 240.8 2. A bonus activity in a popular video game allows the gamer to choos from several boxes to ( point) acquire a rare and useful item. The probability of success is 0.2. With 35 attempts, find the standard deviation. 02.4 7.0 5.6 0.2 3. A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p ( point) - 1/3. Find the standard deviation of the binomial distribution O80.0 119.9 О 0.2 4. The minimum usual value of a binomial distribution is 89.3. The maximum usual value ispt 102.K. Which of the following values would be considered usual for this distribution? o 103 0 89 0 91 o 125 5. A local poll found that only 17% ofthe 546 people surveyed feel the mayor's new city tax plan omamo is effective. Find the mean of this binomial distribution 0 770 453.2 928

Answer 1

Question 1: The probability of students choosing the left lunch line at school is p=0.431 Number of students, n=982 Let X denote the students choosing the left lunch line today. The random variable X follows binomial distribution with p=0.431 and n=982. %3D The variance of the binomial distribution is, variance = np (1-p) = 982 (0.431)(1-0.431) = 240.8247 - 240.8 Therefore, the variance is 240.8