Suppose that in a factory that manufactures electric cars, 96% of the cars are without any defect. A random sample of 12 electric cars is selected. Let X be the number of electric cars that are without any defect. a) What is the probability that X is at least? Explain your answer in full details. b) most Calculate the probability that Xis at
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- Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per min The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean bet The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution fo OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution fo OC. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution fo O D. Since the original population has a normal distribution, the distribution of sample means is a normaA recent survey of 1010 U.S. adults selected at random showed that 647 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. A) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. B) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. C) Compute ?, the expected value of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4). D) Compute ?, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4).
- According to the statistics, 13% of cars in the city were at least 12 years old in2004. Assume that this result holds true for the current population of all cars in thecity. Random sample of 500 cars are selected at random. Approximate the probabilitythat 80 to 98 cars are at least 12 years old?Assume that when adults with smartphones are randomly selected, 48% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that at least 2 of them use their smartphones in meetings or classes. .... The probability is (Round to four decimal places as needed.)Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that at least 2 of them use their smartphones in meetings or classes. .... The probability is (Round to four decimal places as needed.)
- Assume that when adults with smartphones are randomly selected, 38% use them in meetings or classes. If 25 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.) ry nsAssume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.0905 (Round to four decimal places as needed.)A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 15 adults are randomly selected, find the probability that at least 14 of them need correction for their eyesight. Is 14 a significantly high number of adults requiring eyesight correction? The probability that at least 14 of the 15 adults require eyesight correction is nothing. (Round to three decimal places as needed.)