Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students. What is the probability that exactly 5 of them have blue eyes? 0 0.0573 0.1023 0.1165 0.9020

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

LET X = Number of students having blue eyes

So, it means X ~

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  

                      =  

                      = 0.1165

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,