Solving various questions on fundemantals of statistics

Which of the following numbers could be the probability of an event?

1.5 , 1/2 , 3/4 , 2/3 , 0 , -1/4

For some diseases, such as sickle-cell anemia, an individual will get the disease only if he or she receives both recessive alleles. This is not always the case. For example, huntington's disease only requires one dominant gene for an individual to contract the disease. Suppose that a husband and wife, who both have a dominant Huntington's disease allele (S) and a normal recessive allele (s), decide to have a child.

a) List the possible genotypes of their offspring.

b) What is the probability that the offspring will not have Huntington's disease? In other words, what is the probability that the offspring will have genotype ss? interpret this probability.

c) What is the probability that the offspring will have Huntington's disease?

Which of the assignments of probabilities should be used if the coin is known to be fair?

Sample Spaces

Assignments HH HT TH TT

A 1/4 1/4 1/4 1/4

B 0 0 0 1

C 3/16 5/16 5/16 3/16

D 1/2 1/2 -1/2 1/2

E 1/4 1/4 1/4 1/8

F 1/9 2/9 2/9 4/9

Determine whether the probabilities on the following page are computed using classical methods, empirical methods, or subjective methods.

a) The probability of having eight girls in an eight-child family is 0.390625%

b) On the basis of a survey of 1000 families with eight children, the probability of a family having eight girls is 0.54%

c) According to a sports analyst, the probability that the Chicago Bears will win their next game is about 30%

d) On the basis of clinical trials, the probability of efficacy of a new drug is 75%

The following probability model shows the distribution of doctoral degrees from U.S. universities in 2009 by area of study.

Area of Study Probability

Engineering 0.154

Physical Sciences 0.087

Life Sciences 0.203

Mathematics 0.031

Computer sciences 0.033

Social sciences 0.168

Humanities 0.094

Education 0.132

Professional and other fields 0.056

Health 0.042

Source: US National Science Foundation

a) Verify that this is a probability model.

b) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science or life science? Interpret this probability.

c) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 studied physical science, life science, mathematics, or computer science? Interpret this probability.

d) What is the probability that a randomly selected doctoral candidate who earned a degree in 2009 did not study mathematics? Interpret this probability.

e) Are doctoral degrees in mathematics unusual? Does this result surprise you?

A standard deck of cards contains 52 cards. One card is randomly selected from the deck.

a) Compute the probability of randomly selecting a two or three from a deck of cards.

b) Compute the probability of randomly selecting a two or three or four from a deck of cards.

c) Compute the probability of randomly selecting a two or club from a deck of cards.

Determine whether the events E and F are independent or dependent. Justify your answer.

a) E: The battery in your cell phone is dead.

F: The batteries in your calculator are dead.

b) E: Your favorite color is blue.

F: Your friend's favorite hobby is fishing.

c) E: You are late for school.

F: Your car runs out of gas.

The probability that a randomly selected 40-year-old female will live to be 41 years old is 0.99855 according to the National Vital Statistics Report, Vol. 56, No. 9.

a) What is the probability that two randomly selected 40-year-old females will live to be 41 years old?

b) What is the probability that five randomly selected 40-year old females will live to be 41 years old?

c) What is the probability that at least one of five randomly selected 40-year-old females will not live to be 41 years old? Would it be unusual if at least one of five randomly selected 40-year-old females did not live to be 41 years old?

In how many ways can 15 students be lined up?

In how many ways can the top 2 horses finish in a 10-horse race?

How many different random samples of size 7 can be obtained from a population whose size is 100?

How many distinguishable DNA sequences can be formed using one A, four Cs, three Gs, and four Ts?

State whether the standardized test statistic : Determining if null hypothesis will be rejected for given test statistics, State whether the standardized test statistic χ2 allows you to reject the null hypothesis for a two-tailed test with χ2 = 8.907 |

Quadratic number fields : Determine the quadratic number fields Q[sqrt(d)] that contain a primitive nth root of unity, for some integer n. |

Critique of the user manual : critique of the user manual for any one of the following software applications based on the document's organization, layout, use of visuals, and written instructions. |

Equations-pythagorean theorem-quadratics : Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? How might the Pythagorean theorem and distance formula be used in everyday life? |

What is the probability that two randomly selected : What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old? |

Illustrate what is the force between them : The spheres are touched together and are then returned to their original separation d. Illustrate what is the force between them. |

How many girls are there in the hall : The ratio of the number of Chinese boys to the number of Malay boys is 5:3.There are 178 more Chinese boys than Malay boys. How many girls are there in the hall? |

Illustrate what is the time necessary for crossing : Illustrate what is the time necessary for crossing if the hunter wishes to move neither upstream nor downstream whilst crossing the river? Draw the vectors to scale on a graph to determine the answer. |

Determining extension fields : Let f(x) = x^p - alpha E F [x] be irreducible, and let alpha be a root of f in an extension field. Show that if F (alpha)/F is a Galois extension, then g(x) = x^p - 1 splits in the field F. |

## Does length of the police contact influence perceptionDoes length of the police contact influence perception of the contact? |

## Find the taylor''s formula for estimationFind the Taylor's formula for estimation of cosine function |

## Interpret the confidence interval in a single sentenceInterpret the confidence interval in a single sentence |

## Find the probability that the strike vote is rejectedA union strike vote is scheduled for tomorrow, and it looks close. You expect 100 people to vote, and the probability that a typical individual will vote to strike is estimated to be 0.4. Suppose that the voters make their decisions independent from .. |

## Significance testing of correlation coefficientSignificance Testing of correlation coefficient - Test the significance of r |

## Evaluate the average value and rms valueEvaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4. |

## Probability that exactly one of sample individuals carriesProbability that exactly one of the sample individuals carries the gene. |

## Evaluate dimension of a norman window of maximum areaDetermining the maximum area of a Norman window with the fixed perimeter of 16 feet - Evaluate the dimension of a Norman window of maximum area if the total perimeter is 16 feet. |

## Draw a venn diagramDraw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry. |

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd