Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. the results from 100 disks are summarized as follows:
shock resistance
scratch resistance high low
high 70 9
low 16 5
let a denote the event that a disk has high shock resistance, and let b denote the event that a disk has high scratch resistance. if a disk is selected at random, determine the following probabilities. input your answers in the fractional form (do not simplify).
p(a)=86/100
p(b)=79/100
p(a')=7/50
p(a u b)=95/100
p(a' u b)=

Using Venn probabilities, it is found that the desired probability is given by:

The or probability of Venn sets is given by:

In this problem, we want:

We have that:

is probability of A not happening and B happening, thus low shock resistance and high scratch resistance, thus

Then

A similar problem is given at link

Step-by-step explanation:

Let A and B represents the following events.

A denote the event that a disk has high shock resistance.

B denote the event that a disk has high scratch resistance.

Given probabilities:

The probability of intersection of A and B is,

Substitute the above values.

The probability of union of A' and B is,

Substitute the above values.

Therefore, .

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

i hope this is what you were looking for.

see attached graph