The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with pdf f(x) 5 5 211 2 1 x22 1 # x # 2 0 otherwise a. Compute the cdf of X. b. Obtain an expression for the (100p)th percentile. What is the value of m ,? c. Compute E(X) and V(X). d. If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the week? [

Tom has brought $150,000 from his pension to a new job where his employer will match 401(k) contributions dollar for dollar. each year he contributes $3,000. after seven years, how much money would tom have in his 401(k)?

Juanita and sam attend a beach party and notice that the local beach appears to have a great deal more trash washed up on shore than it did when they were young. the water doesn't appear nearly as clear, and there seems to be less evidence of small water creatures living in the shallows. an afternoon at the local library convinces them that one major cause is the new factory nearby. after some discussion, they decide their next step should be identifying the cause of the changes identifying the problem picketing the guilty factory lobbying their elected representatives to complain about the problem talking to a local environmental group about solutions

David consumes two things: gasoline (q 1) and bread (q 2). david's utility function is u(q 1, q 2)equals70q 1 superscript 0.5 baseline q 2 superscript 0.5. let the price of gasoline be p 1, the price of bread be p 2, and income be y. derive david's demand curve for gasoline. david's demand for gasoline is q 1equals nothing. (properly format your expression using the tools in the palette. hover over tools to see keyboard shortcuts. e.g., a subscript can be created with the _ character.)