, There are a total of fifteen numbers, so n= 15. In order to find the percentiles, we must put the numbers
in ascending order:
387 389 392 399 401 407 410 414 417 421 430 440 450 466 471
For the 40th percentile:
Therefore, the 40th percentile index for this data set is the 6th observation. In the list above, the 6th
observation is 407.
Question 3
In a tri-state conference, 60% attendees are from California, 25% from Oregon, and 15% from Washington. As
it turns out 6 % of the attendees from California, 17% of the attendees from Oregon, and 12% of the attendees
from Washington came to the conference by train. If an attendee is selected at random and found to have arrived
by train, what is the probability that the person is from Washington?
P(Train│C)=.06.. P(Train│O)=.17..
P(Train│W)=.12..
P(C)=.60,P(O)=.25,P(W)=.15.
We want to find P(W│Train), so use:
Question 4
Find each of the following probabilities:
a. Find P(Z ≤ -0.87) .
b. Find P(Z ≥ .93) .
c. Find P(-.59 ≤ Z ≤ -.36).
a.
P(Z ≤ -0.87)= .19215.
b.
P(Z ≥ .93)=1- .82381= .17619.
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