The continuous random variable X has the beta distribution with parameters and 3 if its density function is given by where 0 and 0 If the proportion of a brand of television set requiring service during the first year of operation is a random variable having a beta distribution with 3 and 2, what i...

The continuous random variable X has the beta distribution with parameters and 3 if its density

Question:

The continuous random variable X has the beta distribution with parameters α and 3 if its density function is given by where α > 0 and β > 0. If the proportion of a brand of television set requiring service during the first year of operation is a random variable having a beta distribution with α = 3 and β = 2, what is the probability that at least 80% of the new models sold this year of this brand will require service during their first year of operation?

HOT-(1 - x)%-1, 0 <x < 1, elsewhere, fix)

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...