You run quality control for a bolt producer. This past week, the plant completed a run of 3-inch diameter bolts with mean of 3.02 inches and standard deviation of 0.04 inches. What is the total cumulative probability (or area under the normal distribution function) to four decimal places?
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Given that
Mean=3.02, Standard deviations=0.04
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- The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal placesAssume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)Calculate the z-score representing the bottom 10% of an approximately normal distribution. (Use a table or technology. Round your answer to two decimal places.)
- The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 Ibs and a standard deviation of 4.2 Ibs. Find the probability that the population consumes at most 10 lbs yearly? Answer in a complete sentence in context.For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the variable is normally distributed and the standard deviation is 4 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use a graphing calculator. Round the answers to four decimal places. Less than 78 beats per minute =The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds. OA. 0.0985 OB. 0.9015 OC. 0.8815 O D. 0.7613 C
- Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours. Round your answer to four decimal places.The average price of a new one-family home is $180,000 with a standard deviation of $14,000. Find the probability that a randomly selected house will have a price between $150,000 and $200,000. Assume the variable is normally distributed. Write your answer correct to four decimal places. Your Answer: Answer
- The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?A study discovered that Americans consumed an average of 13.2 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds. d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? enter your response here (Round to four decimal places as needed.) Part 5 e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of enter your response here pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3282 grams and a variance of 349,281. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4227 grams. Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. alt gle. 1 1 9 a Z F @ 2 W S X # 3 e d C C $ 4 r f % 5 V t Normal Table-to-z Normal Table - to z Oll 6 g L b y hp h & 7 。。 * u n * 8 N ( 9 m j|k الالال O < O alt р Tables ctrl Keypad Keyboard Shortcuts. Submit Answer [ اااك AD + = ? 1 Oct 28 1:47 0 backspace 1 USE YOUR SMARTPHONE FOR Reviews Videss-Features Specs Support