We know that 40% of m&m boxes include chocolates of all colors (we call them full-color boxes). We randomly select 60 boxes and examine the color of chocolates in them. a. Check all required conditions and decide whether or not we can approximate the distribution of the proportion of full color m&m boxes with a normal distribution. b. Specify the normal that can be used to approximate the distribution of the proportion of full color m&m boxes? c. Use the normal distribution you obtained in Part b, and calculate the probability that less than 35% of the randomly selected 60 boxes are full-color. d. Use the normal distribution you obtained in Part b, and calculate the probability that 30 to 40 boxes out of the randomly selected 60 boxes are full-color.
We know that 40% of m&m boxes include chocolates of all colors (we call them full-color boxes). We randomly select 60 boxes and examine the color of chocolates in them.
a. Check all required conditions and decide whether or not we can approximate the
distribution of the proportion of full color m&m boxes with a
b. Specify the normal that can be used to approximate the distribution of the
proportion of full color m&m boxes?
c. Use the normal distribution you obtained in Part b, and calculate the probability
that less than 35% of the randomly selected 60 boxes are full-color.
d. Use the normal distribution you obtained in Part b, and calculate the probability
that 30 to 40 boxes out of the randomly selected 60 boxes are full-color.
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