Answer Happy

Math 1108 (iii) Based on your answers to part (ii), would you con- jecture that the histogram is approximately bell- shaped? Explain. (iv) To confirm your conjecture, construct a histogram with class interval width 1, starting at 0.5. 9 7 5 14 12 10 5 6 Problem 5. Construct a histogram for the binomial dis- tribution given by n = 5, p=1, and compute the mean and standard deviation. 10 6 9 6 6 13 7 14 9 8 9 13 15 18 5 12 8 8 Table 1 Problem 6. A manufacturing process produces, on av- erage, 3% defective items. The company ships 10 items in each box and wants to guarantee no more than 1 defec- tive item per box. If this guarantee applies to each box, what is the probability that the box will fail to meet the guarantee? Problem 1. Refer to Table 1. (i) Construct a frequency and relative frequency table using a class interval of 5, starting at -0.5. (ii) Construct a histogram. Problem 7. A loaded coin has probability of coming up head. The coin is tossed 5 times. Find the probability of getting (iii) Construct a frequency polygon. (i) all heads or all tails. (iv) Construct a cumulative frequency and relative cu- mulative frequency table. What is the probability that a price-earnings ration drawn at random from the sample will fall between 4.5 and 14.5? (v) Construct a cumulative frequency polygon. (ii) exactly 2 heads or exactly 2 tails. Problem 8. Consider the normal distribution with Problem 2. The mean and median of the data in Table mean 60 and standard deviation 12. Find the area under the normal curve for the given intervals. 1 are =10 Median 9 (1) [48,60] (ii) [57,66] (iii) (-∞,54] (iv) [51,00) Use the grouped frequency table from Prob. 1 (i) to cal- culate the mean and median for the grouped data. Problem 3. The standard deviation of the data in Table Problem 9. A manufacturing process produces a criti- cal part of average length 100 millimeters, with a stan- dard deviation of 2 millimeters. All parts deviating by more than 5 millimeters from the mean must be rejected. 1 is 85.41 Use the grouped frequency table from Prob. 1 (i) to cal- culate the standard deviation for the grouped data. Problem 4. You are given the following ungrouped data What percentage of the parts must be rejected, on the average? Assume a normal distribution. set 4 235 316 423 (1) Find the mean and standard deviation. Problem 10. A union representative claims 60% of the union membership will vote in favor of a particular set- tlement. A random sample of 100 members is polled, and out of these, 47 favor the settlement. What is the 100 favoring the settlement when 60% of all the mem- approximate probability of 47 or fewer in a sample of bership favor the settlement? Conclusion? Approximate a binomial distribution with a normal (ii) What proportion of the data lies within 1 standard deviation from the mean? Within 2 standard devi- ations? Within, 3 standard deviations? Homework #3 6 10 6 31 28 13 19 8 10 19 7 7 10 7 6 Price-Earnings (PE) Ratios 7 11 18 760787206 ය - විය එය 00 6947486742 610 6762 0577 10 3 17 33 17 12 18 17 7 11 15 16 11 7 13 17 650950 1997799693 11 71 16796000 31372 00 19 5 10 10: 10 5777756697