Given a normal distribution with u = 103 and a = 10, and given you select a sample of n = 4, complete parts (a) through (d). a. What is the probability that X is less than 93? P(X< 93) = 0.0228 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 93 and 93.5? P(93 103.6) = 0.4522 (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 68% chance that X is above what value? (Type an integer or decimal rounded to two decimal places as needed.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Given a normal distribution with u = 103 and o = 10, and given you select a sample of n= 4, complete parts (a) through (d).
.....
a. What is the probability that X is less than 93?
P(X< 93) = 0.0228
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that X is between 93 and 93.5?
P(93 <X<93.5) = 0.0059
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that X is above 103.6?
P(X> 103.6) = 0.4522
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a 68% chance that X is above what value?
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:Given a normal distribution with u = 103 and o = 10, and given you select a sample of n= 4, complete parts (a) through (d). ..... a. What is the probability that X is less than 93? P(X< 93) = 0.0228 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 93 and 93.5? P(93 <X<93.5) = 0.0059 (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 103.6? P(X> 103.6) = 0.4522 (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 68% chance that X is above what value? (Type an integer or decimal rounded to two decimal places as needed.)
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