Playing sports related to job pay. does participation in youth and/or high school sports lead to greater wealth later in life? this was the subject of a recent harris poll (march 2015). the poll found that 15% of adults who participated in sports now have an income greater than $100,000. in comparison, 9% of adults who did not participate in sports have an income greater than $100,000. consider a random sample of 25 adults, all of whom have participated in youth and/or high school sports. a. what is the probability that fewer than 20 of these adults have an income greater than $100,000? b. what is the probability that between 10 and 20 of these adults have an income greater than $100,000? c. repeat parts a and b, but assume that none of the 25 sam- pled adults participated in youth and/or high school sports.

a) P(X<20) ≅ 1

b) P(10<X<20) = 0.000495

c) P(X<20) ≅ 1

  P(10<X<20) = 0.000000838 ≅ 0

Step-by-step explanation:

Let be the event X : ''Number of adults having an income greater than $100,000''

We can modelate X as a Binomial random variable

X~Bi(n,x,p)

Where n is the number of the random sample

x is the X value (number of success)

p is the success probability

In our exercise :

The probability function of X is :

Where is the combinatorial number :

For a)

P(X<20) = 0.9999 ≅ 1

b)

c) Is the same as part a) but now the probability p =0.09

P(X<20) =0.9999 ≅ 1

P(10<X<20)=0.000000838≅0

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2