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A taxi driver knows from past experience that the number of fairs he will pick up during an evening is a random variable which has the mean 25.6 and S.D 4.2 .Find the probabilities that the driver will pick up
(A)25 fares (B)more than 20 fares (C)less than 20 fares
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
A card is selected from a standard deck of 52 playing cards. Find the probability of selecting an eight given the card is a not a face card. (An ace is not a face card.)
Let A be a symmetric and positive definite (SPD) matrix. Is A^-1 ( inverse of matrix A) a SPD matrix? If so, prove it. If not, explain and give an example.
1) a) How many 16 bit strings of 0's and 1's contain exactly 7 1's? b) How many 16 bit strings of 0's and 1's contain at least one 1?
Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (1, 5), and the x-axis.
Find the length of arc AC if the diameter, AB, of circle O is 24 cm. Write answer in terms of pi.
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.25 hour is desired. Past studies suggest that a population standard deviation of 1.7 hours is reasonable.
the turtle never stopped for a break, but his pace was only 1 km hr. how long will the rabbit run before it catches the turtle?
What is the predicted height in feet of a tree that produces 88 pounds of oranges?
A rectangular park measures 300 ft. by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
How many cups of salt should be added to five cups of mixture A so that the resulting mixture has equal amounts of salt and pepper?
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
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