Mathematics Homework Help

1)  A pharmacist
receives a shipment of 15 bottles of a drug and has 5 of the bottles tested. If
6 of the 15 bottles are contaminated, what is the probability that at least 4
of the tested bottles are contaminated? Express your answer as a fraction or a
decimal number rounded to four decimal places.

2)  A pharmacist receives a
shipment of 16 bottles of a drug and has 4 of the bottles tested. If 5 of the
16 bottles are contaminated, what is the probability that more than 1 of the
tested bottles is contaminated? Express your answer as a fraction or a decimal
number rounded to four decimal places.

3)  A fair die
will be rolled 15 times. What is the probability that 1, 2, or 3 is rolled less
than 5 but more than 2 times? Round your answer to four decimal places.

4)  A well-mixed
cookie dough will produce cookies with a mean of 6 chocolate chips apiece. What
is the probability of getting a cookie with at least 3 chips? Round your answer
to four decimal places.

5a)  If you draw
two clubs on two consecutive draws without replacement from a standard deck of cards,
you win $12. Otherwise you pay me $3.

Step 1 of 2: Find the expected value of the proposition.
Round your answer to two decimal places. Losses must be expressed as negative
values.

5b)  If you draw two clubs on two
consecutive draws without replacement from a standard deck of cards you win
$12. Otherwise you pay me $3.

Step 2 of 2: If you played this game 757 times how much
would you expect to win or lose? Round your answer to two decimal places.
Losses must be entered as negative.

6)  A researcher
wishes to conduct a study of the color preferences of new car buyers. Suppose that
30% of this population prefers the color brown. If 18 buyers are randomly
selected, what is the probability that between 5 and 8 (both inclusive) buyers
would prefer brown? Round your answer to four decimal places.

7)  A fair die
will be rolled 10 times. What is the probability that 4, 5, or 6 is rolled
exactly 8 times? Round your answer to four decimal places.

8)  A fair die
will be rolled 12 times. What is the probability that 1, 2, or 3 is rolled at
most 9 times? Round your answer to four decimal places.

9)  Cars enter a car wash at a mean
rate of 3 cars per half an hour. What is the probability that, in any hour,
exactly 2 cars will enter the car wash? Round your answer to four decimal
places.