1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250 minutes and a standard deviation of 55 minutes. a. What is the probability that a battery lasts for more than 300 minutes? b. What is the probability that a battery will last for 240 to 360 minutes? c. What is the probability that the battery will last for less than an hour?
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- 3. The finish times for marathon runners during a race are normally distributed with a mean of 195 minutes and a standard deviation of 25 minutes. What is the probability that a runner will complete the marathon within 180 minutes?The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 308 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 308 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 308 days or longer is ☐ (Round to four decimal places as needed.)4. The delivery time for all food orders at a fast food restaurant have a mean of 6.7 minutes and a standard deviation of 2.1 minutes. a. Assume a normal distribution and compute the probability that an order is delivered in less than 6 minutes. prob = b. Find the probability that the mean of 40 orders is less than 6 minutes. prob = c. Find the probability that serving 40 orders takes less than a total of 4.5 hours. prob = %3D
- The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting307days or longer. b. If the length of pregnancy is in the lowest33%,then the baby is premature. Find the length that separates premature babies from those who are not prematureThe lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days longer. b. If the length of pregnancy is in the lowest 2%then the baby is premature. Find the length that separates premature babies from those who are not PrematureA computer battery has a normal distribution with an average life span of 10 hours and a standard deviation of 3 hours.a. What is the probability that the computer battery will last between 10 and 14 hours?b. Find out how many hours at least 12% of the computer batteries with the longest endurance.c. A company bought 10 of these computers. What is the probability that the battery life of at least 2 of the purchased computers is within the range specified in “a”?
- The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 33%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a.) The probability that a pregnancy will last 309 days or longer is....? b.) Babies who are born on or before ____days are considered premature.The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 41 gallons of bottled water? b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 41 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) d. 99.5% of people consumed less than (Round to two…The average monthly cable bill in 2016 has been reported to be $92.Assume monthly cable bills follow a normal distribution with a standard deviation of $8.50. a. What is the probability that a randomly selected bill will be 4. between $85 and $95? b. Which monthly cable bill represents the 65th percentile?
- The time that a customer takes to complete a transaction in the business line at the bank follows a normal distribution with a mean of 5.4 minutes and a standard deviation of 1.7 minutes Above how many minutes will 20% of the customers spend in completing a transaction? O a. 6.115 O b. 0.4207 Ос. 0.84 O d. 6.828The 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 SAMSUNGThe lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 307 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 307 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 307 days or longer is enter your response here. (Round to four decimal places as needed.) What does the result suggest? A. The result suggests that either a very rare event occurred or the husband is not the father. B. The result suggests an uncommon but not significant event occurred. C. The result suggests the event did not occur. D. The result suggests that the…