Question: Apple Inc. guarantees that iPhones will not have any type of malfunctioning for one year. Suppose 90% of the iPhones operate without any malfunction for

Apple Inc. guarantees that iPhones will not have any type of malfunctioning for one year. Suppose 90% of the iPhones operate without any malfunction for one year. Suppose I take arandom sample(this means you can assume they are independent) of 80 iPhones and count the number of defectives. If X is the number ofdefectivesin the sample of 80 iPhones

1. What is the distribution of X? Clearly identify the parameters of the distribution.

2. What is the probability that exactly 10 iPhones will have some type of problem within a year of the sold date (Use the exact distribution, not an approximation)?

3. What is the probability that no more than 4 of the sampled iPhones will be defectives? Use the exact distribution for your calculations not an approximation. (You may use MINITAB to find the final probability. However, you have to show the steps on how to obtain it mathematically)

4. What is the probability that more than 2 but no more than 6 defective iPhones in the sample. That is findP(2<X6)P(2

5. Using the normal approximation, what is the probability that sample proportion of defective phones will be no more than 15%?

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