The Head of Operations for a Movie Studio Wants to Determine

question 189

Multiple Choice

The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production. (Due to budgeting constraints, only one new picture can be undertaken at this time.) She feels that script 1 has a 70 percent chance of earning about $10,000,000 over the long run, but a 30 percent chance of losing $2,000,000. If this movie is successful, then a sequel could also be produced, with an 80 percent chance of earning $5,000,000, but a 20 percent chance of losing $1,000,000. On the other hand, she feels that script 2 has a 60 percent chance of earning $12,000,000, but a 40 percent chance of losing $3,000,000. If successful, its sequel would have a 50 percent chance of earning $8,000,000, but a 50 percent chance of losing $4,000,000. Of course, in either case, if the original movie were a flop, then no sequel would be produced.
What is the probability that script 1 will be a success, but its sequel will not?

• A)0.8
• B)0.7
• C)0.56
• D)0.2
• E)0.14

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Definitions:

Three Decimal Places

Referring to a numerical precision that includes three digits to the right of the decimal point.

\(50e^{-0.1x}\)

A mathematical expression representing exponential decay, where \(e\) is the base of the natural logarithm.

Three Decimal Places

Refers to numbers that are rounded or precise to the third digit after the decimal point.

\(100e^{-0.5x}\)

This represents an exponential expression used in various mathematical and scientific calculations.