Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y=10-2X. The probability P(5sY<15) is closest to O 0.2417 0.4995 0.4332 O 0.0279 O 0.1915
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- The normal random variable X has mean 4 and variance 1.22. Find the probability that: * * X < 2.5 X lies between 2.5 and 7Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine P(28≤x≤30) to 2 decimal places.Suppose the length of time X (in hours) it takes for pizza to be delivered by Micelli's Pizza follows a normal distribution with mean 0.5 and standard deviation 0.1. Then the probability that it will take less than 45 minutes for a pizza to be delivered is: None of these 0.9938 0.8413 O 0.305 TOSHIBA
- Suppose that x is a normally distributed with mean 36 and standard deviation 18, find the given probability. P(X>23)Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean u = 57.0 kg and standard deviation o = 7.9 kg. Suppose a doe that weighs less than 48 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2350 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) does (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 55 does should be more than 54 kg. If the average weight is less than 54 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average welght x for a random sample of 55 does is less than…Assume the random variable x is normally distributed with mean u = 88 and standard deviation o = 4. Find the indicated probability. P(77If the random variable X is normal with mean 2 and standard deviation 2, then what is P(x2 - 4x < 1). 3Suppose that x is a normally distributed with mean 32 and standard deviation 16, find the given probability. P(X<20)Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal with a mean u= 7500 and a = 1750. A test result of x < 3500 is an indication of leucopenia. This indicates bone marrow depression that may result in a viral infection. a. What is the probability that on a single test x is less than 3500? b. A patient is given 3 tests at regular intervals. What is the probability that the average of the three tests is less than 3500?The random variable X is described by using the gamma distribution with expectation 10 and standard deviation 10. Find the probability that X will exceed 10.35.Assume the random variable x is normally distributed with mean u= 86 and standard deviation o=4. Find the indicated probability. P(75Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean ? = 51 and estimated standard deviation ? = 16. A result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. b. What is the probability that x < 40?c. Repeat part (b) for n = 3 tests taken a week apart. d. Repeat part (b) for n = 5 tests taken a week apart.SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON