Probability : Normal Distribution and Z-Score

The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: The probability that the temperature randomly selected time is between 78 and 88 degrees, the probability that the temperature at a randomly selected time is between 73 and 93 degrees, and the temperature at a randomly selected time is at most 85.

What volume will the balloon occupy : A 7.0 liter balloon at room temperature (22 degrees celsius) contains hydrogen gas. If the balloon is carried outside to where the temperature is -3.0 degrees Celsius. |

Calculate the company free cash flow : During the current year it reported net income of $875,000. It had cash provided by operating activities of $734,000, paid cash dividends of $70,000, and had capital expenditures of $280,000. Calculate the company's free cash flow. |

Explain is claim believable if standard deviation is given : Annually from tornadoes in the U.S.A. is less than 30. If a sample of 9 randomly selected years had a standard deviation of 29, is the claim believable? Use = .01? |

To understand the cognitive/moral stage : Put yourself in the role of parent, teacher and juvenile justice judge and then in each role identify why it would be necessary to understand the cognitive/moral stage from which a child is operating. What are the most important aspects these develop.. |

Fahrenheit and standard deviation : The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: |

Question about prime numbers : There are infinitely many primes of the form n^2 - 1. Please list at least 4 of these primes. (I hope it is just as easy as I think, but is there any work to this?) |

Could this be accomplished by passive diffusion : In the human body, the potassium ion can pass easily through cell membranes, yet the potassium ion concentration is higher inside many cells than it is outside these cells. Could this be accomplished by passive diffusion? Explain your answer. |

Find the indicated function values : Please use synthetic division and the remainder theorem to find the indicated function values: |

How many expect to be heterozygous for allele a4 : In a sample from a grasshopper population, you find four alleles at a particular locus. The frequencies of A1, A2, A3, and A4 are p1= 0.50, p2=0.30, p3=0.15, and p4=0.05. |

## Find the position of a particleSuppose the position of a particle after t seconds is given by the following vector equation - evaluate each of the following vectors: |

## Probability and expected value of a payoffComplete the table above so that you can show the Jackson's what their expected payoff is.2. Assuming that they have this $10,000 currently invested in low yield market funds that at the end of 3 years will be worth $12,200, Probability and Expecte.. |

## Twenty scientists are seeking financial supportTwenty scientists are seeking financial support from the National Science Foundation . Find the number of ways in which the NSF panel can select four of the twenty submitted proposals ranking |

## 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. |

## Affect the running time of an algorithmTo check whether the representation of input elements does not affect the running time of an algorithm |

## Calculate the smallest sample size requiredCalculate the smallest sample size required to estimate the population mean under the following specifications: |

## Define tree diagram and dice tossingDevelop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing |

## Discrete random variable defined on a finite sample spaceDiscrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}). |

## Evaluate the maximum height of ballUse the formula to determine how long it takes the ball to return to the earth and Evaluate the maximum height of ball using given equation |

## Find the probability of a random numberThe Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri.. |

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