Question

a.) Suppose that government data show that 8% of adults are full‑time college students and that 30% of adults are age 55 or older. Complete the passage describing the relationship between the two aforementioned events. Although (0.08)⋅(0.30)=0.024, we cannot conclude that 2.4% of adults are college students 55 or older because the two events __________(are/are not) ________(independent/disjoint)

b.) In New York State's Quick Draw lottery, players choose between one and ten numbers that range from 11 to 80.80. A total of 2020winning numbers are randomly selected and displayed on a screen. If you choose a single number, your probability of selecting a winning number is 2080,2080, or 0.25.0.25. Suppose Lester plays the Quick Draw lottery 66 times. Each time, Lester only chooses a single number.

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

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

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

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

-Two‑tenths of a percent of people living in the United States are 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 is left‑handed.

-The probability is 5.4% that a tennis player is left‑handed.

-There is a 13.7% probability that a person is a tennis player or left‑handed.

d.)

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

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

Answer 1