Mathematics: 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

x=35Step-by-step explanation:...

Playing sports related to job pay. does participation

danielcano12281621

05.01.2022

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 :

$n=25\\p=0.15$

The probability function of X is :

$P(X=x)=f(x)=nCx.p^{x}.(1-p)^{n-x}$

Where nCx is the combinatorial number : $nCx=\frac{n!}{x!(n-x)!}$

For a)

P(X

P(X<20) = 0.9999 ≅ 1

P(10

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

P(X

P(X<20) =0.9999 ≅ 1

P(10

P(10<X<20)=0.000000838≅0

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