Question

Prof. Lazy decides to assign final grades in CSE 312 by ignoring all the work the students have done and instead using the following probabilistic method: each student independently will be assigned an A with probability θ, a B with probability 3θ, a C with probability 1/2 , and an F with probability 1/2 4θ. When the quarter is over, you discover that only 2 students got an A, 10 got a B, 60 got a C, and 40 got an F. Find the maximum likelihood estimate for the parameter θ that Prof. Lazy used. Give an exact answer as a simplified fraction.

Answer 1

According to Section 1031 of Internal Revenue Code, an exchange of like-kind property is referred to as like-kind exchange, if the exchange meets the following criteria:

• The property should be exchanged only for the 'like-kind' (same class) property.
• The 'like-kind' property that is in exchange should be either used in operations of business or held for investment purposes.
• The exchange should be done under specific timing restrictions or requirements (for indirect exchanges through third parties).

Explanation:

A) Explanation: Since both the properties in exchange are real properties which are used in business, this is a like-kind exchange

B)

Description Amount ($)

Fair market value of bowling alley 120,000

Add: Mortgage value L is relieved off 40,000

Amount realized 160,000

Less: Adjusted basis (175:000)

Realized loss by L (15,000)

C) Explanation: Since the loss realized is due to exchange, the loss is not recognized.

D) Explanation: Since the loss is not recognized, the character of gain or loss could not be

E) Explanation: The total of realized loss, $15,000 (From Requirement (b)) is deferred.

F) Determine the basis of property acquired in exchange, bowling alley.

Description Amount ($)

Fair market value of bowling alley 120,000

Add: Deferred loss 15,000

Basis of bowling alley 135,000