Solve for the probability functions
In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answerin each case. {a} A random sample of students in a fitness study. X is the mean systolic blood pressure of the sample. tries, a binomial distnbution is reasonable. X can only take on two values No, a binomial distnbution is not reasonable. X is not a count of successes. No; a binomial tstribution is not reasonable. Binomial distnbutions cannot be used with random samples No, a binomial tstribution is not reasonable. it should be associated with a population \"ms a binomial tstribution is reasonable. X is a mean of the binomial distribution. [bi A manufacturer of running shoes picks a random sample o'fthe production of shoes each day for a detailed inspection. Today's sample of 20 pairs of shoes indudes 1 pairwith a defect. No; a binomial bstribution is not reasonable. Dne defect in a sample of 2B is not a large enough percentage. No, a binomial distribution is not reasonable. Binomial distributions cannot be used with random samples. \"ms a binomial distribution is reasonable. p is the probability of a defective pair. "ms a binomial distribution is reasonable. p is the number of defective shoes from today's sample. No, a binomial distribution is not reasonable. Cine defect is not a large enough count. {c} A nutrition study d'iooses an SR5 of college students Tl'iey are asked whether or not they usually eat at least ve servings of fruits or vegetables per day. X is the nurrberwho saythat they do. \"lies; a binomial distribution is reasonable. n is the number of students chosen from the sample and X is the number of servings of fmits and vegetables they eat. No, a binomial tstribuijon is not reasonable. A student might eat less than ve senaings offnJits and vegetables but could daim othenlvise. Yes, a binomial distnbution is reasonable. p is the percentage of students d'iosen from the population and n is the number of servings of fmits. and vegetables they eat. Yes, a binomial distnbution is reasonable. n is the number of students in the sample and p is the probabilitythat a student eats at least five servings o'ffruits and vegetables No, a binomial tstribution is not reasonable. Binomial distnbutions cannot be used with random samples Create a box and whisker plot with the following set of data: 1, 2, 5, 6, 9, 12, 7, 10 Find the mean, median, mode, and range of the following set of data: 7, 6, 2, 7, 8, 3, 12, 9, 7, 4, 6, 7, 11O 70 80 90 100 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 81, lower Q = 64,median = 74,upper Q = 85, upper extreme = 94 O 60 70 80 90 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 64,lower Q = 74,median = 81,upper Q = 85, upper extreme = 94 O 80 90 100 The second box-and-whisker plot is shifted to the right and more spread out (10% more). Lower extreme = 64,lower Q = 74,median = 81,upper Q = 85, upper extreme = 94 O 60 70 90 The second box-and-whisker plot is shifted to the right and less spread out (10% less). Lower extreme = 85,lower Q = 74,median = 81,upper Q = 64,upper extreme = 94 O 70 90 100 The second box-and-whisker plot is shifted to the right and more spread out (10% more).\f
