A prominent singer$/$songwriter recently received two offers for the rights to her music. BMI offered her a large contract where she would get $$150$ million, but only if there were more than $1,000,000$ downloads of her songs. On the other hand, Sony offered her a guaranteed $$30$ million. Given this information, which of the following statements is true?

Group of answer choices

If the artist thinks there will be more than $1,000,000$ downloads with $10\%$ probability and signs with BMI, then she must be risk averse.

If the artist thinks there will be more than $1,000,000$ downloads with $10\%$ probability and signs with Sony, then she must be risk averse.

If the artist thinks there will be more than $1,000,000$ downloads with $25\%$ probability and signs with BMI, then she must be risk neutral.

If the artist thinks there will be more than $1,000,000$ downloads with $20\%$ probability and prefers to sign with Sony, then she must be risk averse.