A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 2 years. If you randomly purchase one item, what is the probability it will last longer than 8 years? (Answer using 3 decimal places)
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- Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…Accrotime is a manufacturer of watches. Accotime researchers have shown that watches hwe an average life of 28 months before certain electronic components deteriorate causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months and the distribution is noemal. If Accrotime guarantees a full refund of any defective watch for 1.5 years after the purchase, what percentage of total production will the company expect to replace? Write your answer as a percentage rounded to 1 decimal place. For the toolbar, Press ALT+F10 (PC) or ALT+FN+F10 OMCA) 0 WOAOS POWEASD BY TINY
- statssdHigh school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 13 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 64 applications are randomly selected, what is the probability that the mean credit rating of these 64 applicants will be between 205 and 275. (Round your answer to 4 decimal places.) (Calculator: http://statisticshelper.com/normal-distribution-calculator) A. 0.5011 B. 0.4113 C. 0.2119 D. 0.3664
- Scores from the midterm statistics exam followed a normal distribution with a mean of 69 and a standard deviation of 10. If a student had to score at least an 93 to earn an A, what is the probability that a student earned an A? (Use a table or technology. Round your answer to four decimal places.)z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 34,000 miles and a standard deviation of 2200 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires? Click to view page 1 of the table. Click to view page 2 of the table. ****... Tires that wear out by miles will be replaced free of charge. (Round to the nearest mile as needed.)
- Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 89 and 121. Click to view page 1 of the table. Click to view page 2 of the table. Standard Normal Table (Page 2) The probability that a randomly selected adult has an IQ between 89 and 121 is (Type an integer or decimal rounded to four decimal places as needed.) POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 5279 .5319 .5359 0.1 .5398 .5438 5478 .5517 .5557 .5596 ,5636 ,5675 .5714 .5753 0.2 .5793 .5832 5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 6950 .6985 7019 .7054 .7088 7123 7157 .7190 .7224 0.6 .7257 .7291 7324 7357 7389 7422 7454 7486…A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 2.7 years. The 7% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. years