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An air conditioning contractor has kept detailed records on the lifetimes of a random sample of 250 compressors. She plans to use the sample mean lifetime, x, of those 250 compressors as her estimate for the population mean lifetime, u, of all such compressors. If the lifetimes of this brand of compressor have a standard deviation of 45 months, what is the probability that the contractors estimate will be within 7 months of the true mean? The probability is (Round to four decimal places as needed.)The random variable X is the number of color television sets owned by a randomly selected household with an annual income between $15,000 and $29,999. Its probability distribution is shown below. Complete parts a through c. a. Find and interpret the mean of the random variable. Hx(Round to three decimal place as needed.) Interpret the mean. Choose the correct answer below 0 A. The observed value of the random variable will be equal to the mean of the random variable n most observations O B. The observed value of the random variable will be less than the mean of the random variable in most observations O C. As the number of observations, n, decreases, the mean of the observations will approach the mean of the random variable. 0 D. As the number of observations, n, increases, the mean of the observations will approach the mean of the random variable b. Obtain the standard deviation of the random variable. oxRound to three decimal place as needed.) c. Draw a probability histogram for the random variable. Choose the correct graph below. Click to select your answer(s).

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4. S 4-5 2SD 小(1.46)-p12(-2.46) 10. 9 8 62Dear student HOMEWORKLIB POLICY allowed only one solution at a time . Please repost other . Thank you!

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