Question

In a class of 125 students, 28 are computer science majors, 52 are mechanical engineering majors, 12 are civil engineers and the rest are general engineering majors. Assume students only have one major. If a student is chosen at random what is the probability they are:

Answer 1

Answer:

The probability none mechanical engineering majors is 0.03967.

Step-by-step explanation:

Given that,

Total students = 125

Number of students in computer science = 28

Number of students in mechanical engineering = 52

Number of students in civil engineering= 12

Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors?

We need to calculate the probability none are mechanical engineering majors

Using given data

None mechanical engineering majors = $\dfrac{125-52}{125}=0.584$

If six students from the class are chosen at random then

The probability none are mechanical engineering majors will be

$P_{nme}=(0.584)^6$

$P_{nme}=0.03967$

Hence, The probability none mechanical engineering majors is 0.03967.