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Can you please help me to solve this? ents Part I. Find the area corresponding to the following z values and sketch the curve. (

Can you please help me to solve this?

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ents Part I. Find the area corresponding to the following z values and sketch the curve. ( 10 pts each ) 1. probability that z is between - 1.74 to 0.68. on 2. probability that z is from 1.07 to 2.46. 3. probability that z is between -2.51 to -0.95 ns 4. probability that z is at most - 1.32 5. probability that z is at least 0.83 6. probability that z is at least -2.09 Part II. Solve each problem. Sketch the needed area under the curve. Show your complete solution or else no points will be given for a particular question. (50 points for each problem ) If a computed z-value has a decimal value of more than 2 decimal places, round it off to 2 decimal places. culty 1. With an eye toward improving performance, industrial engineers study the ability of scanners to read the bar codes of various food and household products. The maximum reduction in power, occurring just before the scanner cannot read the bar code at a fixed distance, is called the maximum by the attenuator. This quantity, measured in decibels (dB), varies from product to product. After collecting considerable data, the engineers decided to model the variation in maximum attenuateon as a normal distribution with mean 10.1 dB and standard deviation 2.7 dB. a. For the next food or product, what is the probability that its maximum attenuator is between 8.5 dB and 13.0 dB? b. What proportion of the products have maximum attenuator greater than 15.1 dB? If the computed value for the number of products is a decimal number, truncate it to produce the answer. 2. ABC Industries manufactures a motor that is marketed with a warranty that guarantees it will be replaced free of charge if it fails within the first 14,000 hours of operation, On average. ABC motors operate for 16,500 hours with a standard deviation of 1,175 hours before failing. The number of operating hours before failure is approximately normally distributed, and 5,000 motors are produced in one year. in For this yearly batch, determine the following: a. How many motors will probably have to be replaced free of charge? b. How many motors are expected to operate for at least 18,000 hours? If the computed value for the number of motors is a decimal number, truncate it to produce the answer. For example, the truncated value of 34.7 is 34

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