Identity the sample space of the probability experiment: recording the day of th

Question

Identity the sample space of the probability experiment: recording the day of the week and whether or not it rains. A random sample of 150 students has a grade point average with a mean of 2.86 and with a standard deviation of 0.78. Construct the confidence interval for the population mean, c = 0.98 (2.71,3.01) (2.43,3.79) (231,353) (2d 1,3.88) The standard IQ test has a mean of 101 and a standard deviation of 16. We want to be 98% certain that we are within 4 IQ points of the true mean. Determine In a recent survey, 66% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 11 ol them favor tin-building of the police substation. A company ships computer components in boxes that contain 20 items. Assume that the probability of a defective computer component is 0.2. Hind tin- probability that the first defect is found in the seventh component tested. Round your answer to four decimal places. Compare the scores: a scon- of 220 on a test with a mean of 200 and a standard deviation of 21 score of 90 on a test with a mean of 80 and a standard deviation of 8. You cannot determine which score is better from the given information. The two scores are statistically the same. Q A score of 90 with a mean of 80 and a standard deviation of 8 is belter. A score of 220 with a mean of 200 and a standard deviation of 21 is better. A sales firm receives an average of four calls per hour on its toll-free number. Hor any given hour, find the probability that it will receive exactly nine calls Use the Poisson distribution The random variable x represents the number of fests that a patient entering a hospital will hare along with the corresponding probabilities. Find the mean and standard deviation. and a Construct a 90% confidence interval for the population mean, p. Assume the population has a normal distribution. A sample of 15 randomly selected students has a grade point average of 2-86 with a standard deviation of 0.78. The body temperatures of adults are normally distributed with a mean of 98.6 degree F and a 10; standard deviation of 0.60 degree F. If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.4 degree F

Explanation / Answer

1.

Let

R = rains
N = no rain

Hence,

S = {(Mon, R), (Mon, N), (Tue, R), (Tue, N), (Wed, R) , (Wed, N), (Thu, R), (Thu, N), (Fri, R), (Fri, N), (Sat, R), (Sat, N), (Sun, R), (Sun, N)} [ANSWER]

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