Question

41. The quality control manager of Green Bulbs Inc. is inspecting a batch of energy saving compact fluorescent light bulbs. When the production process is in control, the mean number of bad bulbs per shift is 6.0. The probability that any particular shift being inspected has less than 5.0 or more than 8.0 bad bulbs is _______________.

42. Given that X is a normally distributed variable with a mean of 50 and a standard deviation of 2, the probability that X is between 47 and 54 is _____.

43. A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. The age at which payments have ceased for approximately 86% of the plan participants is ______________.

44. True or False: The probability that a standard normal variable, Z, is between 1.00 and 3.00 is 0.1574.

45. The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. The probability that a randomly selected can will contain between 100 and 120 grams of tea leaves is ______________.

46. You were told that the mean score on a statistics exann is 75 with the scores normally distributed. In addition, you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%. The middle 86.64% of the students will score between which two scores: _______________.

Answer 1

The middle 86.64% of the students will score between which two scores:(60,90).