According to a 2014 Gallup poll, 56% of uninsured Americans who plan to get health insurance say they will do so through a government health insurance exchange. What is the probability that in a random sample of 10 people exactly 6 plan to get health insurance through a government health insurance exchange?

0.2427 is the required probability.        

Step-by-step explanation:

We are given the following information:

We treat americans who plan to get health insurance through a government health insurance exchange as a success.

P(Americans who plan to get health insurance) = 56% = 0.56

Then the number of Americans follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 6 and x = 10

We have to evaluate:

Thus, 0.2427 is the probability that in a random sample of 10 people exactly 6 plan to get health insurance through a government health insurance exchange

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

45

step-by-step explanation: