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- Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimals places.) u=4; o=6 p (1 < x < 10) =Saved Help On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. 1 .40 4 .10 Total P(x) .01 .29 - 18 .02 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. Skewed to the right Skewed to the left Symmetric 3.X P(x) 1 0.15 6 0.05 8 0.3 10 0.5 Find the mean and standard deviation of this probability distribution. Give your answer to at least 2 decimal places. Mean: Standard Deviation: Question Help: Message instructor Submit Question
- Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV₁. Assume the mean FEV₁ for 10-year-old boys is 2.1 liters and that the population standard deviation is 6=0.5. A random sample of 58 10-year- old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV₁ of 1.98 liters. Can you conclude that the mean FEV₁ in the high-pollution community differs from 2.1 liters? Use the α=0.10 level of significance and the P-value method with the TI-84 calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. Ho: μ = 2.1 H₁:μ #2.1 This hypothesis test is a two-tailed Part: 1 / 4 Part 2 of 4 test. Find the P-value. Round the answer to at least four decimal places. P-value:Mean Variance Standard Deviation Investment A 7200 14760000 3841.8745 Investment B 7500 84250000 9178.7798 1. Which investment give a higher expected profit? 2. If the businessman is willing to take a risk, which investment would he prefer? Justify your answer.The population of weights of Calculus textbooks is normally distributed with a population mean weight of 2.46 pounds and population standard deviation of 0.53 pounds. If a randomly selected Calculus textbook is weighed, what is the probability that the Calculus textbook will weigh less than 1.5 pounds? P ( x < 1.5 pounds ) Round your final answer to four decimal places. = ______________
- uestion 6 For the standard normal distribution, which of the statements below is correct? A. Standard Deviation is 0. B. Variance is 0. C. Mean is 1. D. None of the above. A A B.will rateA reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…
- Iowa Rain The Annual precipitation amounts for Iowa appear to be normally distributed with a mean of 32.473 in. and a standard deviation of 5.601 in. (based on data from the US Department of Agriculture) a. If I year is randomly selected, find the probability that the annual precipitation is less than 29.000 in. b. If a decade of 10 years is randomly selected, find the probability that the annual precipitation amouants have a mean less than 29.000 in. c. Given that part (b) involves a sample size that is not larger than 30, why can the central limit theorem be used?Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV1. Assume the mean FEV1 for 10 -year-old boys is 2.1 liters and that the population standard deviation is =σ0.4 . A random sample of 35 10 -year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 1.98 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2.1 liters? Use the =α0.10 level of significance and the P -value method with the TI-84 calculator. Part: 0 / 4 0 of 4 Parts Complete Part 1 of 4 State the appropriate null and alternate hypotheses. :H0 :H1 This hypothesis test is a ▼(Choose one) test.Scores Probability 0 4 5 6 8 10 12 0.1 0.25 0.05 0.15 0.15 0.05 0.25 Find the mean of the above random variable. Find the standard deviation of the above random variable. Find the variance of the above random variable. Use all digits in your answer for the standard deviation to calculate the variance. If necessary, round your answers to 3 decimal places.