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Question 17 (2 points) The random variable X is normally distributed with u = 52.3 and o= 8.75. What value of X will be exceeded
Question 17 (2 points) The random variable X is normally distributed with u = 52.3 and o= 8.75. What value of X will be exceeded 12% of the time? (This is the 88th percentile of X.) Round your answer to one place of decimal. Your Answer: Answer Question 18 (2 points) Given a normally distributed random variable, X, with u = 222.3 and o= 15.7, find the probability x will fall between 189.4 and 211.3. Round your answer to three places of decimal. Your Answer: AnswerQuestion 19 (2 points) The useful life of a battery is thought to be normally distributed with or: 3.25 months and p = 47.4 months. For how many months should the battery be guaranteed if the manufacturer wishes only 3% of batteries to fail before this time and therefore be subject to replacement under the guarantee? Enter your answer to one place of decimal. Months will be understood and should not be entered. Your Answer: Answer Question 20 (2 points) Given that Xis normally distributed with ,u = 304.6 and 0': 13.2, find the probability that Xis less than 310.5, given that we know that Xis larger than 292.4. State your answer rounded to 3 places of decimal. Your
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