2.1 Exam 2: chapters 3 & 4

Find the probability of being “7-12” years old AND preferring “chicken nuggets”

• A

  $\frac{\text{13}}{\text{82}}$

• B

  $\frac{\text{28}}{\text{82}}$

• C

  $\frac{\text{33}}{\text{82}}$

• D

  $\frac{\text{13}}{\text{61}}$

Find the probability of being “13-15” years old OR preferring “Filet’o’fish”.

• A

  $\frac{8}{\text{82}}$

• B

  $\frac{\text{50}}{\text{82}}$

• C

  $\frac{8}{\text{51}}$

• D

  $\frac{\text{42}}{\text{82}}$

Find the probability of “preferring Hamburger” given that the randomly selected child is 13-15 years old.

• A

  $\frac{\text{16}}{\text{82}}$

• B

  $\frac{\text{16}}{\text{35}}$

• C

  $\frac{\text{16}}{\text{34}}$

• D

  $\frac{\text{16}}{\text{70}}$

The events “preferring Hamburger” and “being 13-15 years old” are:

• A

  Mutually exclusive

• B

  Independent

• C

  Neither mutually exclusive or independent.

• D

  Both mutually exclusive and independent.

$E$ and $F$ are two events such that $P(E)=0\text{.}\text{60}$ , $P(E$ or $F)=0\text{.}\text{90}$ and $P(E$ and $F)=0\text{.}\text{50}$ . Find $P(F)$ .

• A

  0.80

• B

  0.30

• C

  0.40

• D

  0.10

The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The probability that a randomly chosen adult rents an apartment is 0.30. The probability that the adult owns a boat given he/she rents an apartment is 0.20.

• A

  0.048

• B

  0.24

• C

  0.10

• D

  0.06

Possessing a boat and renting an apartment are:

• A

  independent events

• B

  mutually exclusive

• C

  both independent and mutually exclusive

• D

  neither independent nor mutually exclusive

Find the probability of the event “The first marble is red and the second is blue.”

• A

  $\frac{\text{20}}{\text{81}}$

• B

  $\frac{\text{20}}{\text{72}}$

• C

  $\frac{4}{\text{12}}$

• D

  $\frac{4}{9}$

Find the probability that both marbles are red.

• A

  $\frac{\text{16}}{\text{81}}$

• B

  $\frac{7}{\text{81}}$

• C

  $\frac{\text{12}}{\text{72}}$

• D

  $\frac{8}{\text{72}}$

Approximately 70% of U. S. adults had at least one pet as a child. We randomly survey 60 U. S. adults. We are interested in the number that had at least one pet as a child. The probability that at least 3 adults had at least one pet as a child means:

• A

  $P(X=0)+P(X=1)+P(X=2)$

• B

  $P(X=0)+P(X=1)+P(X=2)+P(X=3)$

• C

  $P(X=4)+P(X=5)+P(X=6)+\text{.}\text{.}\text{.}+P(X=\text{60})$

• D

  $P(X=3)+P(X=4)+P(X=5)+\text{.}\text{.}\text{.}+P(X=\text{60})$

What is the probability that he makes at least 1, but no more than 3 house calls in a day?

• A

  0.65

• B

  0.80

• C

  0.50

• D

  0.40

If the plumber charges a flat fee of $ 40 for a house call, the expected daily income is:

• A

  $70

• B

  $175

• C

  $400

• D

  $1.75

If $X\text{~}B(\text{40},0\text{.}2)$ , then $P(X>\text{11})=$

• A

  0.0432

• B

  0.0001

• C

  0.0875

• D

  0.1608

The Fizz–Full Soda Company knows that 4% of the bottles of soda it produces are filled with less soda than required. If one purchases 10 bottles at random, the probability that at most 2 of these bottles will have less soda than required is:

• A

  0.0519

• B

  0.9938

• C

  0.9418

• D

  0.0080

The expected number of questions you would get correct would be:

• A

  5

• B

  10

• C

  40

• D

  45

Based upon numerical calculations, would you be surprised if a person got exactly half of the questions correct?

• A

  yes, because it is impossible

• B

  yes, because the probability is almost 0

• C

  no, because the probability is 0.50

• D

  no, because it is the most likely probability

If sampling without replacement occurs, do the picks follow the Binomial Distribution?

• A

  Yes, because each pick is independent from the others.

• B

  No, because the probability of success on each pick changes.

• C

  Yes, if we are counting the number of successes.

• D

  No, because we may not have any successes.

Ninety-four percent of California community college transfers feel that their community college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 California community college transfers. We are interested in the number that feel that their community college adequately prepared them to handle upper division coursework at their transfer university. List the values that $X$ , the Random Variable, may take on.

• A

  $\mathrm{1,2,3,}\text{.}\text{.}\text{.},\text{14}$

• B

  $\mathrm{1,2,3,}\text{.}\text{.}\text{.},\text{94}$

• C

  $\mathrm{0,1,2,}\text{.}\text{.}\text{.},\text{14}$

• D

  $\mathrm{0,1,2,}\text{.}\text{.}\text{.},\text{94}$