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- The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal placesa population has mean score of 50 if five points are added to each score what is the new meanType in your answer below: As in the previous question, female's pulse rates are normally distributed with a mean 74 beats per minute and a standard deviation 12.5 beats per minute. Find the probability that a female has a pulse rate between 60 beats per minute and 70 beats per minute. You can use a calculator or table A-2 in your textbook. Round your answer to three decimal places.
- Please answer within 30min thanks.A survey of college students reported that they spend an average of $9.50 a day on dinner with a standard deviation of $3. What is the probability that 100 randomly selected college students will spend more than $10.25 on average for dinner? Round your answer to 4 decimal places.. Students may be classified as having a math dysfunction—and not have to take statistics—if they score below the 25th percentile on a diagnostic test. The m of the test is 75 and sX 10. Approximately what raw score is the cutoff score needed to avoid taking statistics?
- This is a Statistics problem. Please code in R.Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother. Mother’s Age False-Positive Rate False-Negative RateUnder 30 0.040 0.37630-34 0.082 0.29035-37 0.178 0.269Over 38 0.343 0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age Probability of Down Syndrome25 1/130030 1/90035 1/35040 1/10045 1/2549 1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…A mean function E(Y IX = x) tells us: the probability of observing the value Y. O whether or not to reject the null hypothesis. how much data we need to collect. how the expected value of Y changes as X varies.
- Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?The mean of a normal probability distribution is 120 the standard deviation is 10. About what percent of the observations lie between 110 and 130The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?