The following questions are for a college math statistics class. Please answer the two bullet point questions below in detail with sources in APA format. Then simply answer the following eight additional questions (work for these do not have to be shown.)

· Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected. What principles did you use to solve the problem? Provide the complete solution, show all the steps and explain your work in every detail.

· Once you are done with this problem go to a web and do a quick research of how probabilities are used in different disciplines and share an article that shows this. Summarize your article and provide your references. Note that your article must refer to probabilities and not general statistics… Make sure you come back and answer any questions we ask you regarding your post, this is also a requirement. ( Hint: Probabilities are extensively used to sports, medicine, business and industrial engineering )

Question 1

The formal way to revise probabilities based on new information is to use:

A.conditional probabilities

B.common sense probabilities

C.unilateral probabilities

D.complementary probabilities

Question 2

In a genetics experiment 6 flowers out of 20 were bicolor, and the rest were solid color. If 3 of the flowers are selected at random without replacement, what is the probability that all 3 are bicolor?

Question 3

If a die is rolled one time, find the probability of getting a number greater than 3

Question 4

If A and B are any two events with P(A) = .9 and then is:

Question 5

The failure rate for taking the bar exam in Philadelphia is 41%. If 475 people take the bar exam, what is the mean for the number of failures?

Question 6

The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.

x |
P (X=x) |

0 |
0.1 |

1 |
0.25 |

2 |
0.15 |

3 |
0.25 |

4 |
0.15 |

5 |
0.1 |

Find P(1)

Question 7

A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?

Question 8

Suppose A and B are mutually exclusive events where P(A) = 0.3 and P(B) = 0.5, then What is P(A and B) = ?