a.) Suppose that government data show that 8% of adults arefull?time college students and that 30% of adults are age 55 orolder. Complete the passage describing the relationship between thetwo aforementioned events. Although (0.08)?(0.30)=0.024, we cannotconclude that 2.4% of adults are college students 55 or olderbecause the two events __________(are/are not)________(independent/disjoint)

b.) In New York State's Quick Draw lottery, players choosebetween one and ten numbers that range from 11 to 80.80. A total of2020winning numbers are randomly selected and displayed on ascreen. If you choose a single number, your probability ofselecting a winning number is 2080,2080, or 0.25.0.25. SupposeLester plays the Quick Draw lottery 66 times. Each time, Lesteronly chooses a single number.

What is the probability that he loses all 66 of his lotterygames? Please give your answer to three decimal places.

c.) Consider the sample space of all people living in the UnitedStates, and within that sample space, the following two events.

??=people who play tennis=people who are left?handedA=people whoplay tennisB=people who are left?handed

Suppose the following statements describe probabilitiesregarding these two events. Which of the statements describeconditional probabilities? Select all that apply:

-Two?tenths of a percent of people living in the United Statesare left?handed tennis players.

-Two percent of left?handed people play tennis.

-Of people living in the United States, 3.7% play tennis.

-There is a 10.2% chance that a randomly chosen person isleft?handed.

-The probability is 5.4% that a tennis player isleft?handed.

-There is a 13.7% probability that a person is a tennis playeror left?handed.

d.)

Of all college degrees awarded in the United States, 50%50% arebachelor's degrees, 59%59% are earned by women, and 29%29% arebachelor's degrees earned by women. Let ?(?)P(B) represent theprobability that a randomly selected college degree is a bachelor'sdegree, and let ?(?)P(W) represent the probability that a randomlyselected college degree was earned by a woman.

What is the conditional probability that a degree is earned by awoman, given that the degree is a bachelor's degree? Please roundyour answer to the two decimal places.