Question

Let 'x' be a random variable that represents the length of time it takes a student to write a term paper for Tonys class. After interviewing students, it was found that 'x' has an approximately normal distribution with a mean of µ = 7.3 hours and standard deviation of ơ = 0.8 hours.

For parts a, b, c, Convert each of the following x intervals to standardized z intervals.

a.) x < 7.5

z <

b.) x > 9.3

z >

c.) 5.5 < x < 8.7

< z <

For parts d, e, f, Find the following probabilities: (Use 4 decimal places)

d.) P(x < 7.5) =

e.) P(x > 9.3) =

f.) P(5.5 < x < 8.7) =

Answer 1