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In: Statistics and Probability

A recent study estimates that 45% of iPhone still have their phone their phone within 2...

A recent study estimates that 45% of iPhone still have their phone their phone within 2 years of purchasing it. Suppose you randomly select 30 iPhone users. Let random variable X denote the number of iPhone users who still have their original phone after 2 years.

1)Describe the probability distribution of X (Hint: Give the name of the distribution and identify n and p).

2)Find the expected value of X. Round to 1 decimal place.

3)Find the standard deviation of X. Round to 3 decimal places.

4)Determine the probability that X equals 13. Round to 3 decimal places.

5)Determine the probability that EXACTLY 11 iPhone users still have their original phone after 2 years. Round to 3 decimal places.

6)Determine the probability that at most 5 iPhone users still have their original phone after 2 years. Round to 3 decimal places.

7)Determine the probability that at least 8 iPhone users still have their original phone after 2 years. Round to 3 decimal places.

8)Determine the probability that between 6 and 9 iPhone users still have their original phone after 2 years. Round to 3 decimal places.

*only need answers for questions 1,6,7,8. Thank you!

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