QUESTION 1 Let X be a normal random variable with mean u = 68 and standard deviation o =11. What is the probability that Xwill be (a). more than 79? (b). between 57 and 79?
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- 6. The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N( ? , ? )b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.8? c. Find the 70th percentile for this distribution? %Q 6. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to collect a sample of n = 20, where all of the dogs are poodles, because you suspect maybe poodles aren't really so smart. The mean IQ of your sample of poodles is M = 19. What is the probability of this sample? That is, what is p(M<19)? (Hint: remember the sample size is now n = 20.)2.7.95 Question Help In a certain region, the probability of selecting an adult over 40 years of age with a certain disease is 0.04. If the probability of correctly diagnosing a person with this disease as having the disease is 0.92 and the probability of incorrectly diagnosing a person without the disease as having the disease is 0.05, what is the probability that an adult over 40 years of age is diagnosed with the disease? The probability is (Type an integer or a decimal. Do not round.) bilit on Ce ability t by taki present Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer
- A 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…4.) Let ?¯ be the mean of a random sample of size 50 drawn from a population with mean 112 and standard deviation 40. Find the mean and standard deviation of x¯ Find the probability that ?¯ assumes a value between 110 and 114 Find the probability that ?¯assumes a value greater than 113A collection of medical scores is Normal with Mean of 50 and Standard Deviation of 10; that is N(50, 10). Bertha’s score is 47.56 and Biff’s score is 56.82. What is the probability that a randomly selected score will be greater that Bertha’s and less than Biff’s? Your answer should be correct to 4 places after the decimal point. ________________
- If an observation has a z-score of -1.5, how many standard deviations is it above or below the mean? O 0.066 standard deviations above the mean O 1.5 standard deviations above the mean O 1.5 standard deviations below the mean O 0.066 standard deviations below the meanWhat is the probability when x = 1 and the mean = 10 and standard deviation = 3. c. 0.1151 a. 0.0013 b. 0.0179 d. 0.1841 Ans:The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 2 b. Find the probability that a randomly selected person with a kidney stone will take longer than 11 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
