Question

Question 17 1 pts The distribution of the number of viewers for the Northeast Football television broadcasts follows the normal distribution with a mean of 10 million and a standard deviation of 2 million. The upper 12% of the market consist of how many viewers? 12 million 0.3800 million 12.36 million 1.18 million

Answer 1

solution

Using standard normal table,

P(Z > z) = 12%

= 1 - P(Z < z) = 0.12

= P(Z < z ) = 1 - 0.12

= P(Z < z ) = 0.88

= P(Z < 1.175 ) = 0.88  

z =1.175 (using standard normal (Z) table )

Using z-score formula  

x = z * $\sigma$ + $\mu$

x= 1.175*2+10

x= 12.36