# Exam 3 Flash Cards

- StudyBlue
- Utah
- Utah Valley University
- Mathematics
- Mathematics 2040
- Richard Bennett
- Exam 3 Flash Cards

**Created:**2017-02-14

**Last Modified:**2017-02-15

**1/13**

**Disjoint**

**2/13**

**Disjoint**

**19/52**

**Not Disjoint**

**0.48**

**What is the probability 3 males survive?**

**0.9958**

**What is the probability 20 males survive?**

**0.9723**

**[5.3] The probability of 24-year-old males surviving 5 years is 98.86%. What is the probability at least 1 of 1000 males die?**

**1 - p(all live) = 1 - (0.9986)^1000 = 0.7536**

**What is the probability that a birth is preterm and overweight?**

**1.74%**

**What is the probability the speeder gets pulled over and a ticket?**

**72%**

**What is the probability they pick at least 1 bad circuit?**

**GB = 95/100 * 5/99 = 0.048**

**BG = 5/100 * 95/99 = 0.048**

**BB = 5/100 * 4/99 = 0.002**

**P(GB) + P(BG) + P(BB) = 0.098**

**1 - P(GG) = 1 - P(0.902) = 0.098**

**What is the probability an African American has sickle cell anemia?**

**0.0027**

**What is the probability two African Americans have sickle cell anemia without replacing (Dependent)?**

**0.00000702**

**What is the probability two African Americans have sickle cell anemia with replacing (Independant)?**

**0.00000729**

**How many combinations are possible?**

**16 combinations**

**How many codes are possible for use with repetition? Without?**

**17576**

**15600**

**How many possible routes are there?**

**5040**

**[5.5] You have 10 horses in a race you're betting on. How many ways can you pick 1st, 2nd, and 3rd place?**

__permutation__since there's no repetition and order matters.

10P3 = 10!/(10-3)! = 10!/7! = (10*9*8*7!)/7! = 10*9*8 = 720

__combination__since there's no repetition and order doesn't matter.

**16!**/4!*16! = 20*19*18*17/4! =

**4845**

**2520**

**[5.5] A shipment of 120 fasteners have 4 defective ones. The quality control manager does not know. He randomly selects 5 from the shipment. What is the probability that exactly one is defective?**

__1__bad one. (Order doesn't matter so use combination).

(4C1 * 116C4) / 120C5 = ((4!/3!*1!)*(116!/112!*4!))/(120!/5!*115!) = 28640980/190578024 = 15%

__# of shots made__

__P(x)__

0 0.01

1 0.1

2 0.38

3 0.51

What is the mean? Standard Deviation?

Std Dev =

Square Root[ (((0^2 * 0.01) + (1^2 * 0.1) + (2^2 * 0.38) +(3^2 * 0.51)) - (mean^2)) ] = 0.70562029

**[6.2] MediaMark Research says 86% of US households own at least 1 cellphone. In a random sample of 20 households, what is the probability that exactly 15 own a cell phone?**

(nCx)(p^x)(q^(n-x))

(20C15)(0.86^15)(0.14^(20-15)) = (15504)(0.1041062)(0.00005378) = 0.086808 or 8.7%

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