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- A poll reported that 63% of adults were satisfied with the job the major airlines were doing. Suppose 25 adults are selected at random and the number who are satisfied is recorded. Complete parts (a) through (e) below. (c) Find and interpret the probability that at least 20 of them are satisfied with the airlines. The probability that at least 20 adults are satisfied with the airlines is (Round to four decimal places as needed.) Interpret the probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) OA. In 100 randomly sampled surveys of 25 adults, 20 or more of the 25 adults would be expected to be satisfied with the airlines in about B. In 100 randomly sampled surveys of 25 adults, less than 20 of the 25 adults would be expected to be satisfied with the airlines in about OC. In 100 randomly sampled surveys of 25 adults, exactly 20 out of the 25 adults would be expected to be satisfied with the airlines in…Time spent using e-mail per session is normally distributed, with u = 14 minutes and o = 3 minutes. Assume that the time spent per session is normally distributed. Complete parts (a) through (d). a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 13.8 and 14.2 minutes? 0.259 (Round to three decimal places as needed.) b. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 13.5 and 14 minutes? 0.297 (Round to three decimal places as needed.) c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 13.8 and 14.2 minutes? 0.497 (Round to three decimal places as needed.) d. Explain the difference in the results of (a) and (c). Choose the correct answer below. The sample size in (c) is greater than the sample size in (a), so the standard error of the mean (or the standard deviation of the sampling distribution) in (c) is V concentrated…Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 42% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needs, the reliability should…
- The table below shows the results of a survey that asked 2849 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). Occasionally TTII Frequently Not at all Total Male 228 454 794 1476 Female 201 430 742 1373 Total 429 884 1536 2849 (a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved) = (Round to the nearest thousandth as needed.)The annual rainfall (in inches) in a certain region is normally distributed with u = 24 and o O A. 0.117 4.2. What is the probability that the rainfall exceeds 29 inches in a given year? O B. 0.025 O C. 0.063 D. 0.125Cars arrive randomly at a tollbooth at a rate of 23 cars per 20 minutes during rush hour. What is the probability that more than seven cars will arrive over a five-minute interval during rush hour? Multiple Cholce 0.3536 0.2224 0.1312 0.7776
- Assume that 35% of people have sleepwalked. Assume that in a random sample of 1515 adults, 537 have sleepwalked. a. Assuming that the rate of 35% is correct, find the probability that 537or more of the 1515 adults have sleepwalked. b. Is that result of 537 or more significantly high? c. What does the result suggest about the rate of 35%?The probability that a machine develops a fault within the first 3 years of use is 0.003. If 40 machines are selected at random, the probability that 38 or more will not develop any faults within the first 3 years of use is ....Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 20 adult smartphone users are randomly selected, find the probability that exactly 16 of them use their smartphones in meetings or classes. The probability is ____. (Round to four decimal places as needed.)
- The time to fly between New York City and Chicago is uniformly distributed with a minimum of 86 minutes and a maximum of 100 minutes. What is the probability that a flight is less than 87 minutes? A. 1.00 B. 0.04 C. 0.07 D. 0.00A survey found that people keep their automo- biles an average of 3.2 years. The standard de- viation is 0.82 year. If a person enters an automobile dealer's store, find the probability that 7 the person has owned the automobile the fol- lowing amount of time 18- a. Less than 1 year b. Between 2 and 3 years c. More than 3 yearsThe table below shows the results of a survey that asked 2853 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). Occasionally Frequently 223 Not at all Total Male 453 793 1469 Female 205 430 749 1384 Total 428 883 1542 2853 (a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved) = 0.460 (Round to the nearest thousandth as needed.) (b) Find the probability that the person is female or not involved in charity work at all. P(being female or not being involved) = (Round to the nearest thousandth as needed.)
