Suppose the battery life for a fully charged iPhone 12 is normally distributed with mean 724 minutes and standard deviation 60minutes.

2a.)What proportion of fully charged iPhone 12s will have a battery lifeless than 820minutes? As part of your work include a sketch.

2b.) Find the value that completes the following statement: 20% of fully charged iPhone 12swill have a battery life longer than _________ minutes. Be sure that your work includes a z-score and that we can follow your logic of how you obtained this missing value.

2c.) Let Y = the number of fully charged iPhone 12s who have a battery life of at least616 minutes in a random sample of 240.Which of the following models is the appropriate model to compute probabilities for Y?

Normal (724, 60)

Normal (231.384, 2.8821)

Binomial (240, 0.50)

Binomial (240, 0.9641)