Find the required probabilities using the exponential density function f(t) = 1 e−t/, [0, ∞). The time t (in years) until failure of a component in a machine is exponentially distributed with = 4.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 3 years but less than 6 years, and at least 7 years. (Round your answers to three decimal places.)

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

6 equilateral triangles

your answer is  

d.

196.5 m2

step-by-step explanation: