(A). Time taken by a randomly selected applicant for a mortgage to fill out a ce
ID: 2982187 • Letter: #
Question
(A). Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value9min and standard deviation3min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Round your answer to four decimal places.)
(B).Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of1.5. (Round your answers to four decimal places.)
(3B ) between2.65and 3.00 the answer is ....Explanation / Answer
ANSWER: 69.146% of all applicants will complete application in 11 minutes.
NORMAL DISTRIBUTION, STANDARDIZED VARIABLE z, PROBABILITY "LOOK-UP"
z = (x - ?)/? STANDARDIZED VARIABLE FOR NORMAL
x = INDEPENDENT VARIABLE [9]
? = POPULATION MEAN [9]
? = POPULATION STANDARD DEVIATION [4]
z = (11- 9)/4 = 0.5
(B)
NORMAL DISTRIBUTION (cumulative), PROBABILITY "LOOK-UP"
z P( Z <= z )
0.5 0.69146 (69.146%)
sample of 9 pins is at least 51?
P (x > 51) = P (z > 2.5) = 0.0062
sample of 40 pins is at least 51?
P (x > 51) = P (z > 5.2705) = 0
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.