In: Statistics and Probability
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!