STATS 050 PCC Probability Mean Variance & Standard Deviation Exam Practice

Question Description

NameChp 4 and 5FA2020

x	P(x)
0
1
2
3
4

Suppose the rate of wind is .3 and if Ralph has been observing the wind for the last four days. Create a probability distribution table of the above exercise and answer the following questions. Hints: use the binompdf function on TI 84 for each of x in the table and let p be .3

1. Find the mean, variance and standard deviation of the above table.

2. Find the probability of having exactly 2 days that it waswindy.

3. Find the probability of having less than 2days it was windy

4. Find the probability of having at least 2 days it was windy.

5. Find the probability of having more than 2 it was windy

6. Find the probability of having at most 2 days it was windy.

7. Based on a survey, 47% of adults say they prefer to get their news online.

a. Four adults are randomly selected, find the probability that the first three adults prefer to get their news online and the fourth prefer to get it other than online in that order.

b. Make all the possible sample space with three adults prefer to get their news online and one adult who prefer to get their news other than online.

c. Refer to the result from b find the probability of having 3 adults who prefer to get their news online and one adult who get the news other than online.

8. A study of recently deceased people is summarized in the following table.

Cause of Death
	Cancer	Heart Disease	Other
Smokers	190	540	160
Non-smokers	70	80	280

Find the probability of randomly selecting:

(a) someone who died of cancer.(b) someone who did not die of cancer.

(e) someone who smoked or died of heart disease.

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