### General Statistics: Ch 4 Test

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This course is designed to acquaint the student with the principles of descriptive and inferential statistics. Topics will include: types of data, frequency distributions and histograms, measures of central tendency, measures of variation, probability, probability distributions including binomial, normal probability and student's t distributions, standard scores, confidence intervals, hypothesis testing, correlation, and linear regression analysis. This course is open to any student interested in general statistics and it will include applications pertaining to students majoring in athletic training, pre-nursing and business.

College: First year, College: Second year, College: Third year, College: Fourth year

1

You are dealt two cards, without replacement from a shuffled deck of 52 standard playing cards.

What is the probability that the first card is a Jack and the second card is a Diamond?

0.0192

2

If you are told that a mystery person's name begins with a consonant, would it be "unusual" to guess the first letter of that person's name?

Yes

3

Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.185.

Find the probability that in a given year it will not snow on January 1st in that town.

0.815

4

A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective.

If three of the products are randomly selected, find the probability that all of them are acceptable. Assume these products are selected with replacement.

0.343

5

A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 26 that have no defects.

What is the probability that all four of the calculators selected are defective? Round to four decimal places.

0.1586

6

The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1197 people is randomly selected, find the probability of getting a regular or heavy smoker.

0.201

7

Refer to the table which summarizes the results of testing for a certain disease.

If one of the results is randomly selected, what is the probability that it is a false positive (test indicates the person has the disease when in fact they don't)?

What does this probability suggest about the accuracy of the test?

0.0952; The probability of this error is high so the test is not very accurate.

8

Which of the following cannot be a probability?

5/3

9

Two white mice mate. The male has both a white and a black fur-color gene. The female has only white fur-color genes. The fur color of the offspring depends on the pairs of fur-color genes that they receive. Assume that neither the white nor the black gene dominates.

List the possible outcomes.

WW, BW

10

The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1127 people is randomly selected, find the probability that the person is a man or a heavy smoker.

0.548

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