Suppose that the number of Facebook friends users have is normally distributed with a mean of 130 and a standard deviation of about 59. Assume forty-eight individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ?Z-NO b. For the group of 48, find the probability that the average number of friends is less than 136. c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places.

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Question 6
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Suppose that the number of Facebook friends users have is normally distributed with a mean of 130 and a
standard deviation of about 59. Assume forty-eight individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where possible.
X
#
a. What is the distribution of ? N
b. For the group of 48, find the probability that the average number of friends is less than 136.
115 *
3
c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places,
d. For part b), is the assumption that the distribution. s normal necessary? Yes No
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Transcribed Image Text:1 1 78°F Sunny 2 10 A Z 2 W S Question 6 alt Suppose that the number of Facebook friends users have is normally distributed with a mean of 130 and a standard deviation of about 59. Assume forty-eight individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. X # a. What is the distribution of ? N b. For the group of 48, find the probability that the average number of friends is less than 136. 115 * 3 c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places, d. For part b), is the assumption that the distribution. s normal necessary? Yes No Question Help:Written Example Message instructor Submit Question Jump to Answer M $ ▾ 0 4 C R ( > LL % F 5 Q Search T ^ 40 6 & VI B 7 G H 4+ * U N 8 00 J -- ( 1 9 K M O 4 (20) P alt
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 68
and the standard deviation is 13. Suppose that 45 randomly selected tires are tested. Round all answers to
4 decimal places where possible and assume a normal distribution.
X
#
3
a. What is the distribution of X? X-NO
b. What is the distribution of ? NO
c. If a randomly selected individual tire is tested, find the probability that the number of miles (in
thousands) before it will need replacement is between 67.5 and 70.2.
d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 67.5 and 70.2.
e. For part d), is the assumption that the distribution is normal necessary? O No Yes
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Transcribed Image Text:78°F Sunny @ 2 W alt The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 13. Suppose that 45 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. X # 3 a. What is the distribution of X? X-NO b. What is the distribution of ? NO c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 67.5 and 70.2. d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 67.5 and 70.2. e. For part d), is the assumption that the distribution is normal necessary? O No Yes Question Help:Written Example Message instructor Jump to Answer E Submit Question $ 101 4 SDE C R F % ▬▬ Q Search 5 V T A G 40 6 & 7 H * C B N 00 8 J ( 9 510 K M 941 O v O 44 L CAT P A alt
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