3. Using the z-table and t table, solve the following problems. a. Given a normal distribution with mean = 35 and standard deviation = 8, find the probability that X assumes a value i. less than 40 ii. between 30 and 40 iii. more than 55

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3. Using the z-table and t table, solve the following problems.
a. Given a normal distribution with mean = 35 and standard deviation = 8, find the
probability that X assumes a value
i. less than 40
ii. between 30 and 40
iii. more than 55
b.
Find the following values on the t-table:
i. to.025 when v = 13.
ii. to.99 when v=9.
c.
Find k such that P(k <T<2.807) = 0.945 when T~t (U-23).
Transcribed Image Text:3. Using the z-table and t table, solve the following problems. a. Given a normal distribution with mean = 35 and standard deviation = 8, find the probability that X assumes a value i. less than 40 ii. between 30 and 40 iii. more than 55 b. Find the following values on the t-table: i. to.025 when v = 13. ii. to.99 when v=9. c. Find k such that P(k <T<2.807) = 0.945 when T~t (U-23).
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