Chapter 7 Examples - will wait for more than 3 minutes Find...

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The area under the standard normal curve where a. P(Z< +1.52) = b. P(Z> +1.62) = c. P(-1.14 < Z < +1.14) = d. P(1.02 < Z < 2.40) = The diameters of ball bearings are distributed normally. The mean diameter is 58 millimeters and the variance is 9. Find the probability that the diameter of the selected bearing is greater than 61 millimeters. The life of light bulbs is distributed normally. The standard deviation of the life time is 30 and the mean lifetime of a bulb is 500 hours. Find the probability of a bulb lasting for atmost 545 hours. A soft drink machine outputs a mean of 28 ounces per cup. The machine’s output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 31 and 32 ounces.
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The time spent waiting in a line is normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 9. Find the probability that a person
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Unformatted text preview: will wait for more than 3 minutes. Find the value of z for the following: a. P(Z>z) = 0.0655 b. P(Z<z) = 0.8686 c. P(-1.67<Z<z) = 0.6715 d. P(z<Z<0) = 0.3531 The lifetime of all Everglo bulbs follow a normal distribution with a mean of 400 hours and a standard deviation of 50 hours. After how many hours will 80% of the Everglo bulbs burn out? The yearly cost of dental claims for the employees of D.S. Inc. is normally distributed with a mean of $75 and a standard deviation of $30. At least what yearly cost would be expected for the top 40% of the employees? The examination committee of the American Society for Quality passes 20% of those that take the exam. If the scores follow a normal distribution with an average score of 75 and a standard deviation of 16, what is a minimum passing score?...
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