receive full credit, you must complete all problems and clearly show your work.

Question

receive full credit, you must complete all problems and clearly show your work. swers only in the space provided below with all work attached on a separate sheet. To 1. N ew York Citytrain 7 leaves Times Square every 5 minutes, thus passenger waiting time is uniformly distributed between 0 and 5 minutes. Find the probability that a passenger has a waiting time greater than 1.25 minutes 2. Find the area of the shaded regions. 1.28 z-1.04 35 3. Find the indicated z-scores. D35 area 0.2061 025 area 0.3050

Explanation / Answer

2)

Please keep the z tables handy
a)
here we need to find the area that is greater than -1.04

p(Z>-1.04)
P ( Z>1.04 )=P ( Z<1.04 )=0.8508

b) P(-0.84<z<1.28)
To find the probability of P (0.84<Z<1.28), we use the following formula:
P (0.84<Z<1.28 )=P ( Z<1.28 )P (Z<0.84 )
We see that P ( Z<1.28 )=0.8997.
P ( Z<0.84 ) can be found by using the following fomula.
P ( Z<a)=1P ( Z<a )
After substituting a=0.84 we have:
P ( Z<0.84)=1P ( Z<0.84 )
We see that P ( Z<0.84 )=0.7995 so,
P ( Z<0.84)=1P ( Z<0.84 )=10.7995=0.2005
At the end we have:
P (0.84<Z<1.28 )=0.6992

3)
In this case we simply need to check the z scores for the given probabilities from the z table

p=0.3050 , which is Z = 0.51007

p = 0.2061 , so we substract this from 1 to get the z score of

1-0.2061 = 0.7939

we see that Z = 0.8200

Hope this helps !!

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.