The life of a light bulb is exponentially distributed with a mean of 1,000 hours. what is the probability that the bulb will last less than 800 hours?

0.5507

Step-by-step explanation:

The cumulative distribution function for exponential distribution:-

Given : The life of a light bulb is exponentially distributed with a mean of 1,000 hours.

Then ,

Then , the probability that the bulb will last less than 800 hours is given by :-

Hence, the probability that the bulb will last less than 800 hours = 0.5507

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)