Ch: 4.1 & 4.2

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Which of the following is NOT a principle of​ probability?

All events are equally likely in any probability procedure.

Fill in the blank. As a procedure is repeated again and​ again, the relative frequency of an event tends to approach the actual probability. This is known as​ _______.

As a procedure is repeated again and​ again, the relative frequency of an event tends to approach the actual probability. This is known as the law of large numbers.

Fill in the blank. The​ _______ event A occurring are the ratio P(A)/P(ā).

The actual odds in favor of event A occurring are the ratio P(A)/P(ā).

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.

The events are not disjoint because it is possible to receive an inaccurate order from Restaurant C.

Assume that 900 births are randomly selected and 8 of the births are girls. Use subjective judgment to describe the number of girls as significantly​ high, significantly​ low, or neither significantly low nor significantly high.

The number of girls is significantly low

It is impossible to get 6 jacks when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive

The probability is 0

It is impossible to get 8 aces when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

The probability is 0

Use the given probability value to determine whether the sample results could easily occur by​ chance, then form a conclusion. A study addressed the issue of whether pregnant women can correctly predict the gender of their baby. Among 104 pregnant​ women, 57 correctly predicted the gender of their baby. If pregnant women have no such​ ability, there is a 0.327 probability of getting such sample results by chance. What do you​ conclude?

The probability shows that the sample results could have easily occurred by chance. It appears that there is not sufficient evidence to conclude that pregnant women can correctly predict the gender of their baby.

A weather forecasting website indicated that there was a 15​% chance of rain in a certain region. Based on that​ report, which of the following is the most reasonable​ interpretation?

There is a 0.15 probability that it will rain somewhere in the region at some point during the day.

Complete the following statement. P(A or B) indicates​ _______.

the probability that in a single​ trial, event A​ occurs, event B​ occurs, or they both occur.


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