Suppose that the number of minutes a person must wait for a bus each morning has the uniform distribution on the interval [0, θ], where the value of the endpoint θ is unknown. suppose also that the prior p. d.f. of θ is as follows: ξ(θ ) = 192 θ 4 for θ ≥ 4, 0 otherwise.

if the observed waiting times on three successive mornings are 5, 3, and 8 minutes, what is the posterior p. d.f. of θ?

If the value of cos330°is√3/2 then find cos 165°.

Acafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or french fries. he used a computer program to randomly select three dishes for monday's lunch. what is the theoretical probability the applesauce and broccoli will both be offered monday?

Tom and lilly rented a house for $12,000 last year. at the start of the year they bought the house they had been renting directly from the owner for $250,000. they believe they could rent it for $12,000 this year, but stay in the house. how much does tom and lilly’s decision to buy the house change gdp? a. it reduces gdp by $12,000 b. it does not change gdp c. it raises gdp by $238,000 d. it raises gdp by $250,000