According to a candy​ company, packages of a certain candy contain 1818​% orange candies. Find the approximate probability that the random sample of 100100 candies will contain 2121​% or more orange candies.

Respuesta :

Answer:

0.2033

Step-by-step explanation:

Given that in a candy company orange candies are 18% of total.

Proportion p is N (p, [tex]\sqrt{\frac{pq}{n} }[/tex]

i.e. p is Normal with mean = 0.18 and std dev = 0.036

Hence probabilities that 100 candles will contain 2121​% or more orange candies.

=P([tex]p\geq 0.21[/tex]

Z score for 0.21 = \frac{0.21-0.18}{0.036}

=0.8333

P(Z>=0.83) = 0.5-0.2967=0.2033