Question
1. Which statement about dependent and independent events is FALSE? a)The probability of a dependent event will not change if another dependent event has occurred.
1. Which statement about dependent and independent events is FALSE?
a)The probability of a dependent event will not change if another dependent event has occurred.
b)The probability of an independent event will not change if another independent event has occurred.
c)To find the probability of two dependent events both occurring, you multiply their individual probabilities.
d) To find the probability of two independent events both occurring, you multiply their individual probabilities.
2. Deon was searching through a list of movies on his streaming movie service and wanted to only look at movies that were rated 4 out of 5 stars or higher.
There are a total of 150movies listed. If 20of those movies have ratings of 4 stars and 10have ratings of 5 stars, what is the probability that Deon will randomly select a movie with at least a 4-star rating?
a) 10/150
b)30/150
c)20/150
d)120/150
3. Part of Patrick's job as manager of an indoor pool at the local community center was to determine the type of snacks they should offer, what time of day people were most likely to visit the pool, and the day of the week that has the most swimmers. Patrick wants to create either a bar graph or a histogram for his data. For what data would the histogram be the best way to represent Patrick's information?
a)All of the data is best graphed using a histogram
b)The day of the week with the most swimmers
c)The time of day people were most likely to visit the pool
d)The type of snacks offered
4. Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods in a metropolitan area. Based on national data, Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.Jean selected threeneighborhoods and determined the average income level.
What is the probability that the average income level in the neighborhoodswas less than $36,500?
a)83%
b)17%
c)4%
d)96%
5. Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance levelfor his test to help ensure that his patients do not receive too little or too much medication.
If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
a)1.45%
b)5.23%
c)50.45%
d)95.78%
6. Because her current dishwasher detergent wasn't getting her dishes as clean and clear as she wanted them to be, Gwen decided to change brands.
Before she washed her next load of dishes, she made a hypothesis as tothe outcome of using a new detergent. Which of the following would be the null hypothesis?
a)The new detergent will not be as good as the old detergent.
b)The new and old detergents will both clean the dishes.
c)There is no difference between the performance of one brand compared to the other.
d)The old detergent will not clean the dishes as well as the new detergent.
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