3. The average noontime temperature in a certain location is normally distributed with a mean of 32 degreesCelsius and a standard deviation of 1.3 degrees Celsius.a.b.C.Celsius.Calculate the probability that the noontime temperature is exactly 32 degrees Celsius.Calculate the probability that the noontime temperature is greater than 33 degreesAbove what noontime temperature are experienced in 20% of the days.3

Answered: Image /qna-images/answer/6749cd81-f26d-479f-ae75-385a338237c4.jpg

Answered: 3. The average noontime temperature in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. A wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy. Find the probability of a pregnancy lasting 308 days or longer. b. A baby is premature if the length of pregnancy is in the lowest 3%. Find the length that separates premature babies from those who are not premature. Must use Excel to solve! To translate/copy the numbers ONLY is ok. You CANNOT copy the entire question onto Excel. Otherwise, 10% penalty will apply! Search SAMSUNG
1. Lori just bought a set of 4 tires for her car. The life of a tire is normally distributed with a mean of 45000 miles and a standard deviation of 2000 miles. Find the probability that all 4 tires will last for at least 46000 miles. Assume independence of tires between one another.
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?
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =
6. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 210 feet and a standard deviation of 50 feet. Let X = distance in feet for a fly ball. Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) 80th percentile: 252.1 ft
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707
5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.
The average score of all golfers for a particular course has a mean of 74 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 75. Round to four decimal places. O A. 0.3707 B. 0.1293 O C. 0.0228 O D. 0.4772
Please answer A, B, & C.
Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 126. OA. 0.0062 B. 0.8615 C. 0.9938 OD. 0.8819

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