Statistics Quiz: Statistics

Statistics
Quiz 2
Prof. Fierimonte

Name Shana Hicks .5

MULTIPLE CHOICE

Find the indicated probability.

| 1) The table below describes the smoking habits of a group of asthma sufferers. 1) | | Light | Heavy | | Non-smoker | Smoker | Smoker | Total | Men | 431 | 44 | 41 | 516 | Women | 378 | 37 | 48 | 463 | Total | 809 | 81 | 89 | 979 |

If two different people are randomly selected from the 979 subjects, find the probability that they are both heavy smokers.

A) 0.0001262 | B) 0.001754 | C) 0.008264 | D) 0.008180 |

| 2) A IRS auditor randomly selects 3 tax returns from 50 returns of which 15 contain errors. 2) What is the probability
that she selects none of those containing errors?

A) 0.343 | B) 0.0232 | C) 0.3339 | D) 0.027 |

3) In a homicide case 6 different witnesses picked the same man from a line up. |
The line up contained 5 men.
If the identification were made by random guesses, find 3) the probability that all 6 witnesses would pick the same person.

A) 1.2 | B) 0.0001286 | C) 0.000064 | D) 0.00032 |

4) In one town, 37% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.

A) 0.310 | B) 0.096 | C) 0.093 | D) 0.620
|

5) A class consists of 39 women and 56 men.
If a student is randomly selected, what is the probability that the student is a woman?

A) | 39 | | B) | 39 | | C) | 56 | | | D) | 1 | | 56 | | | 95 | | | 95 | | | | 95 | 6) A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag what is the probability that it is blue?

A) | 1 | | B) | 1 | | C) | 1 | | | D) | 3 | | 11 | | | 3 | | | 7 | | | | 14 |

Estimate the probability of the event.

7) Of 1003 people who came into a blood bank to give blood, 284 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.

A) 0.251 | B) 0.202 | C) 0.334 | D) 0.283 |

Use the table below to answer the question. Assume a population of 50 million and a total death count of 350,000.

Leading Cause of Death in a CountryDuring One Year | Cause | Deaths | Heart Disease | 125,273 | Cancer | 85,621 | Stroke | 45,218 | Pulmonary Disorder | 31,605 | Accidents | 18,742 | Pneumonia/Flu | 17,932 | Diabetes | 12,213 | HIV/AIDS | 8,004 | Liver Disease | 5,392
|

8) What is the probability of randomly selecting a person who died from liver disease? A) 0.01541 | B) 0.00011 | C) 0.00927 | D) 64.91098 |

9) What is the probability of randomly selecting a person who died from stroke?

A) 0.00090 | B) 7.74028 | C) 0.00111 | D) 0.12919 |

What is the probability of randomly selecting a person who died from heart disease?

A) 0.35792 | B) 0.00251 | C) 2.79390 | D) 0.00040 |

Find the indicated probability. 10) Find the probability of at least 2 girls in 7 births. Assume that male and female are equally likely and the births are independent events. A) 0.938 | B) 0.164 | C) 0.063 | D) 0.773 |

Find the indicated probability. 11) What is the probability that 6 rolls of a fair die will show four exactly 5 times?

A) 0.00064 | B) 0.00077 | C) 0.00011 | D) 0.33490 |

Solve the problem. 12) The probability that a radish seed will germinate is 0.7. A gardener plants seeds I batches of 6.
Find the mean for the number of seeds germinating in each batch.

A) 4.2 | B) 5.4 | C) 1.8 | D) 4.26 |

Use the Poisson Distribution to find the indicated probability.

13) The number of hurricanes hitting a certain tropical island during a recent period of 20 years was 18. For a randomly selected year, find the probability that the number of hurricanes hitting the island is 0. Assume that the Piosson Distribution is a suitable model.

A) 0.407 | B) 0.325 | C) 0.285 | D) 0.329 |

SOLVE

Provide an appropriate answer.

Use the table below to answer the question.

| Cause of Death | | Cancer | Heart Disease | Other | Total | Smoker | 135 | 310 | 205 | 650 | Nonsmoker | 55 | 155 | 140 | 350 | Total | 190 | 465 | 345 | 1,000 |

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