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quiz assignment quiz, Exercises of Statistics

statistics assignment statatistic 12

Typology: Exercises

2021/2022

Uploaded on 04/06/2023

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Math 12
Name_______________________
Professor Robles Score___________________ /
30
Math 12 Quiz #2 (Spring 2023)
All work must be clearly shown for credit.
1. Among 65 patients on clinical trial for DARZALEX, 34 experienced fatigue, 8 experienced nausea
and 2 experienced high-grade bronchitis. Based on this sample group, estimate the probability of each:
(6 pts)
a) A randomly selected person experiences fatigue. Is this a rare event?
b) A randomly selected person experiences nausea. Is this a rare event?
c) A randomly selected person experiences high-grade bronchitis. Is this a rare event?
2. As of 10/6/22, Lassen County had a 30.1% COVID vaccination rate (lowest in California). Five
people are selected at random from Lassen County, find the probability of each:
(6 pts)
a) All five are vaccinated.
b) None of the five are vaccinated.
c) At least one is vaccinated.
3. According to a recent UC Berkeley Institute of Governmental Studies – LA Times poll 55% of
registered voters favor the mandate to ban the sales of new gasoline-powered cars by 2035. If 6
registered voters are randomly selected, find the probability that at least one registered voter is in favor of
the mandate. (2 pts)
4. Suppose you randomly purchase one lottery ticket. Estimate the probability that ticket is a winner
for each game:
(2 pts)
a) Among 45 numbers you choose 5.
b) Select 6 from 36 in any order.
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Math 12 Name_______________________ Professor Robles Score___________________ / 30

Math 12 Quiz #2 (Spring 2023)

All work must be clearly shown for credit.

  1. Among 65 patients on clinical trial for DARZALEX, 34 experienced fatigue, 8 experienced nausea and 2 experienced high-grade bronchitis. Based on this sample group, estimate the probability of each: (6 pts) a) A randomly selected person experiences fatigue. Is this a rare event? b) A randomly selected person experiences nausea. Is this a rare event? c) A randomly selected person experiences high-grade bronchitis. Is this a rare event?
  2. As of 10/6/22, Lassen County had a 30.1% COVID vaccination rate (lowest in California). Five people are selected at random from Lassen County, find the probability of each: (6 pts) a) All five are vaccinated. b) None of the five are vaccinated. c) At least one is vaccinated.
  3. According to a recent UC Berkeley Institute of Governmental Studies – LA Times poll 55% of registered voters favor the mandate to ban the sales of new gasoline-powered cars by 2035. If 6 registered voters are randomly selected, find the probability that at least one registered voter is in favor of the mandate. (2 pts)
  4. Suppose you randomly purchase one lottery ticket. Estimate the probability that ticket is a winner for each game: (2 pts) a) Among 45 numbers you choose 5. b) Select 6 from 36 in any order.
  1. Customer ratings for a DeWalt 20V Max cordless power tool are given in the table. Find: (4 pts) Stars (x) Ratings P(x) 5 71.3% 4 16.2% 3 3.8% 2 2.7% 1 6.0% a) Expected value (mean average) b) Standard deviation (SD = sigma) c) Lower and Upper Normal limits
  2. During a boss battle in World of Warcraft, 3 of the 20 in your group (p = 15%) are chosen for the role of “Mechanic.” In 5 rounds of game play (n = 5), find the probability of each using the Binomial Distribution: (5 pts) a) A player is never chosen (x = 0) b) A player is chosen 4 times (x = 4) c) A player is chosen up to 2 times (x ≤ 2) d) A player is chosen at least 3 times (x ≥ 3) e) A player is chosen at least once (x ≥ 1)
  3. Three doses of Moderna are 72% effective against omicron infection. Based on a group of 50 people who have taken all three doses, use the binomial distribution to find the probability of each: (5 pts) a) Effective for 40 people (x = 40). b) Effective for 30 or fewer (x ≤ 30) people. c) Effective in 35 or more (x ≥ 35) people. d) Find the mean and standard deviation.