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Find the probabilities using the Table or software of your choice. Please explain how you obtained your results. The serum cholesterol levels in men aged 18-24 are normally distributed with a mean of 178.1 and a standard deviation of 40.7. Units are mg/100 mL, and the data are based on the National Health Survey.
a. If one man aged 18-24 is randomly selected, find the probability that his serum cholesterol level is greater than 220.
b. If one man aged 18-24 is randomly selected, find the probability that his serum cholesterol level is between 165 and 200.
c. If 25 men aged 18-24 are randomly selected, find the probability that their mean serum cholesterol level is between 165 and 200.
d. The local hospital would wants to establish a criterion for recommending dietary changes if cholesterol levels are in the top 5%. What is the cutoff serum cholesterol for men aged 18-24?
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
Solving probability problems based on empirical rule
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
An object is thrown upward from the top of a 48 foot building, with an initial velocity of 32 feet per second. The height h of the object after t seconds is given by the quadratic equation h=-16t^2+32t+48. When will the object hit the ground?
the everton college store paid $1824 for an order of 52 calculators. The store paid $ 8 for each scientific calculator. The others, all graphing calculators, cost the store $ 52 each. How many of each type of calculator was ordered?
What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.00 m/s?
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below.
Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
Two motorcycles travel toward each other from cities that are about 665 km apart at rates of 110 km/hr and 80 km/hr. They started at the same time. In how many hours will they meet?
Sketch the slope field for the ODE x'=(1-x^2)(sin(t)-x) . Sketch the slope fields for the solutions satisfying the given conditions: x(0)=0, x(0)=-0.5, x(0)=1, x(1)=1.5
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
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