let and be independent random variables representing the lifetime (in one billion years) of type a and type b stars, respectively. both variables have exponential distributions, and the mean of is 3 and the mean of is 11. what is the expected total lifetime of three type a stars and one type b star?

Question

21-11-2022
Mathematics

Answered

let and be independent random variables representing the lifetime (in one billion years) of type a and type b stars, respectively. both variables have exponential distributions, and the mean of is 3 and the mean of is 11. what is the expected total lifetime of three type a stars and one type b star?

Answer :

Other Questions

The whales' star cornerback is paid $1 million and is guaranteed a 19% pay raise for the next three years. What will his salary be three years from now?.

Type the correct answer in the box. Use numerals instead of words. What percentage of a radioactive substance remains after two half-lives?.

Which exponential function has a growth factor of 5?

They were so delighted with the song that they sang it right through five times in succession, and might have continued singing it all night if they had not bee

The coordinates of the vertices of AABC are A(-2,4), B(-7,-1), and C(-3,-3). Prove that AABC is isosceles. State the coordinates of A4'B'C', the image of AABC,

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?.

2. The total surface area of a square based pyramid is 900 sq. cm. If the lateral surface area of the pyramid is three times the base area, find the length of t

Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a sec

Compare square root of one hundred seventy and one hundred six eighths using <, >, or =.

A company advertised that, on the average, 100% of their customers reported "very high satisfaction" with their services. the actual percentages reported in 15

ShubhamSrivastava ShubhamSrivastava · Answer 1 · 2022-11-24T01:04:26-05:00

The expected total lifetime of three type a stars and one type b star is 20.

The exponential distribution frequently addresses the elapsed time before a particular event. Consider the exponential distribution of the time (starting right now) before an earthquake happens. It is a continuous distribution that is frequently used to calculate time when an event is anticipated to take place.

Given let x and y be independent random variables representing the lifetime (in one billion years) of type a and type b stars, respectively. both variables have exponential distributions, and the mean of is 3 and the mean of is 11.

We have to determine what is the expected total lifetime of three type a stars and one type b star?

X, y are independent

Mean of x = 3 = ux

Mean of y= 11= uy

So sample of x =na=3

Sample of y = nb = 1

E[x] = na x ux

= 3 x 3

=9

E[y] = nb x uy

= 1 x 11

=11

Total life time expected = E[x] + E[y]

= 9 + 11

= 20

Therefore the expected total lifetime of three type a stars and one type b star is 20

To learn more about exponential distribution visit

https://brainly.com/question/5727522

#SPJ4