X luck variable f (x)=0.5e-0.5x x>0 , which is exponentially distributed, have a density function. In this case, determine the probability P (2
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Let X luck variable f (x)=0.5e-0.5x x>0 , which is exponentially distributed, have a density
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- 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 mean ? = 6050 and estimated standard deviation ? = 1500. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.) (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? The probability distribution of x is not normal.The probability distribution of x is approximately normal with ?x = 6050 and ?x = 1500. The probability distribution of x is approximately normal with ?x = 6050 and ?x = 750.00.The probability distribution of x is approximately normal with ?x = 6050 and ?x = 1060.66. What is the probability of x < 3500? (Round your…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 mean μ = 6650 and estimated standard deviation σ = 2150. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four decimal places.)(b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? The probability distribution of x is approximately normal with μx = 6650 and σx = 2150. The probability distribution of x is approximately normal with μx = 6650 and σx = 1520.28. The probability distribution of x is not normal. The probability distribution of x is approximately normal with μx = 6650 and σx = 1075.00. What is the probability of x < 3500? (Round…Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find the indicated probability.P(x>40) P(x>40)=enter your response here(Round to four decimal places as needed.)
- Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean μ = 3,500 grams and standard deviation σ = 575 grams is a reasonable model for the probability distribution of the continuous numerical variable x = birth weight of a randomly selected full-term baby. What is the probability that the birth weight of a randomly selected full-term baby is either less than 2,000 g or greater than 5,000 g? (Round your answer to four decimal places.)The concentration by volume of methane is at a point on center line of jet of natural gas mixing with air is distributed normally with mean 20% and standard deviation of 7%. Find the probability that the concentration exceeds 30%Assume the random variablex is normally distributed with mean u= 86 and standard deviation o = 4. Find the indicated probability. P(x<79) P(x<79)%3D P(x<79) =(Round to four decimal places as needed.)
- Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find the indicated probability. P(x> 36)Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find the indicated probability P(X<36) Round to four decimal places as needed.Suppose random variable Y represents a random number generator that can take any value between 1 and 11. Then the density curve of the outcomes has constant height between 1 and 11, and height of 0 elsewhere. What’s the height of the density curve between 1 and 11? What is the probability that Y<2? What is the probability that Y=2? Can Y=2 happen as an event for this random number generator? What is the probability that Y=0? Can Y=0 happen as an event for this random number generator?
- Assume the random variable x is normally distributed with mean µ = 85 and standard deviation o = 4. Find the indicated probability. P(x<77) P(x<77) = (Round to four decimal places as needed.)Assume the random variable x is normally distributed with mean µ = 85 and standard deviation o=4. Find the indicated probability. P(x < 80) P(x <80) = (Round to four decimal places as needed.)Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with u = 24 pounds and o = 6.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 28.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. Ib (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 11.4 pounds. % (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 17.7 and 36.6. % (e) According to the Empirical Rule, about 84% of bags weigh less than pounds.
