Suppose X has an exponential distribution with mean equal to 23. Determine the following: (a) P(X >10)
(b) P(X >20)
(c) P(X <30)
(d) Find the value of x such that P(X

a) P(X > 10) = 0.6473

b) P(X > 20) = 0.4190

c) P(X < 30) = 0.7288

d) x = 68.87

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

In which is the decay parameter.

The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

Mean equal to 23.

This means that

(a) P(X >10)

So

P(X > 10) = 0.6473

(b) P(X >20)

So

P(X > 20) = 0.4190

(c) P(X <30)

So

P(X < 30) = 0.7288

(d) Find the value of x such that P(X > x) = 0.05

So

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.