Answer:
Step-by-step explanation:
=
=
=
= 15,625
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is

The probability that X is less than 32 minutes is



Therefore, the probability that X is less than 32 minutes is 0.736.
Answer:
It should be 4 or (0,4)
Step-by-step explanation:
The y-intercept is just where one of the lines of the graph crosses the y-axis, which in the picture shows it crosses at (0,4)
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by 
surface area of sphere is given by 
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,

Thus, radius of sphere is 3 units.