Consider a group of people who have received treatment for a disease such as cancer. let tt be the survival time, the number of years a person lives after receiving treatment. the density function giving the distribution of tt is p(t)=ce−ctp(t)=ce−ct for some positive constant cc, and the cumulative distribution function is p(t)=∫t0p(x)dxp(t)=∫0tp(x)dx. think carefully about what the practical meaning of p(t)p(t) is, being sure that you can put it into words.

Solution :- Let X be a group of people who have received treatment for cancer ,

and t be the survival time(The number of years a person lives after receiving treatment).

Now the density function giving the distribution of t =[tex]p(t)=ce^{-ct}[/tex]

for some positive constant c.

So to know the probability of a person of the given group live not more than d days, the  cumulative distribution function is given by

[tex]P(X\leq\ d )=\int\limits^d_{t_0}{ce^{-ct}\ dt[/tex]   where c be any constant.

The distribution function P(t), also called the cumulative distribution function (CDF) , which tells the probability that a variate T takes a value less than or equal to a number t. And P(t)is greater than 0 and less than1

A customer tells you that they will call at 3PM Eastern Standard Time. If you are located in the Pacific Standard Time Zone (which is 3 hours earlier), when should you expect the call?

Sam buys 4 tropical fish. Each fish is 5/8 of an inch long. Write an equation that represents 4 x 5/8 as a multiple of a unit fraction.

PLEASE HELP WITH THIS QUESTION! WILL MARK BRAINLIEST

Riley made a scale drawing of a triangular clock face. Riley used a scale factor of 3 when making her drawing. If the base and the height of Riley's drawing are 10 centimeters and 15 centimeters respectively, what is the area of the triangular clock face?
A. 75 square centimeters
B. 225 square centimeters
C. 675 square centimeters
D. 2,700 square centimeters

Plz help i want to learn how to do this math


Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny 5.25
per pound, and type B coffee costs 4.15
per pound. This month, Jenny made 150
pounds of the blend, for a total cost of
642.60. How many pounds of type B coffee did she use?

3x³+25x²+42x-40=0
How to solve this equation in detail

If the central angle is 60 degrees, what is its arc measure?

Samantha had 300 beads 30% were black 25% were red 15% were white.the remaining beads are blue. how many were blue?

Plz help! :) Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
5
-5
1/5
-1/5
P.s. I already know the answers, just giving away some points! the answer is 1/5. :)
also, here is a math joke for my math homies:
There's a fine line between a numerator and a denominator. :) :) :)
Only a fraction of you will understand this. :) :)
Some people appreciate these jokes, some don't, and the division is very clear. :) :) :) :) :) :) :)

It is 76 miles from waterton to middleton. it is 87 miles from middleton to oak hill. driving directly, it is 134 miles from waterton to oak hill. it is 39 miles rom oak hill to jackson. if juan drives from waterton to middleton then from middleton to oak hill, and finally home to waterton, how many miles does he drive?

If the constant c is chosen so that the curve given parametrically by ct, c 2 16 t 2 , 0 ≤ t ≤ 3 , is the arc of the parabola 16y = x 2 from (0, 0) to (8, 4), find the coordinates of the point p on this arc corresponding to t = 2.

what is the probability of picking a red card from a standard deck of 52 cards?

9999+8888+777+?=19700

Fran painted 1/2 of the fence around her house. What are two other ways to name 1/2?

Carly has a coupon for 15% off the
price of a camera. The camera has
an original cost of $234.00. How
much will the camera cost after the
discount?

Which of the following is not found on a check?
A. Account owner's social security number
B. Account owner's name and address
C. Routing number
D. Account numberund on a check?

nee help with y this question

Michael sold 23 of his CDs and purchased 16 more. If Michael has 25 CDs now, how many CDs did he have to begin with?

Experts/ace/geniuses helpp

Solve for x and y.


y=x^2-5x+1
x+y=-2

A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches. What is the difference in volume between the prism and the storage container? Enter your answer in the box as a simplified mixed number or a decimal.

How far does a ball, hit from a height of 3 feet at a speed of 120 feet per second and an angle of 30 degrees, go before it hits the ground? Round your answer to the nearest integer.

Write a polynomial expression for the perimeter of a rectangle whose sides have the following lengths. Length: x2+3x-5 Width: 3x2-2x+6 A. 8x2+8x+2 B.8x2+2x+2 C.4x2+x+1 D. 4x2-5x+1

1+3x/4=5/2 Solve the proportion for x. A.7/5 B.3 C.5 D.6

A plasma TV is on sale at a 22% discount. The sale price is $776.10. What was the orginal price?

For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller?10 and 20

A diver is swimming at sea level (0), when he suddenly sees a shark and quickly dives under water. He dives 3 meters in 1 second. He continues to descend for 15 seconds. What is the diver's final position?

What is the area of triangle with base 5m and height 12m

-21 is located to the right or left of -20

at an airport it costs $7 to park for up to one hour and $5 per hour for each additional hour. let x represent the number of hours parked. write the function that modles the cost, C(x), of the parking x hours, where x is an integer greater then 1.

Solve for x in the inequality below. 5 > -3x - 1 A. -2 > x B. 2 > x C. 2 < x D. -2 < x