**Question: **1. If the number of chocolate chips in a chocolate-chip cookie follows a Poisson where the average is 3.6 chocolate chips per cookie, what is the probability of finding no chocolate chips in a given cookie? Fewer than 5 chocolate chips? More than 10 chips?

2. Refer to the discussion of eKnow in the section on the beta distribution. Find the probability that the net contribution of eKnow would be greater than $600,000. What is the probability the net contribution will be less than $100,000?

## Maintain a convection coefficientHeating is effected in a gas-fired furnace, where products of combustion at T8 = 800°C maintain a convection coefficient of h = 250 W/m2 · K on both surfaces of the plate. How long the plate should be left in the furnace? |

## Plot the tenth partial sums of the fourier seriesMath 054 Partial Differential Equations - HW Assignment 3. The Fourier Series expansion is given by f(x) = n=1∑∞(1/n)sin nx Plot the tenth partial sums of the Fourier Series of the sawtooth function |

## Formulate a linear programming modela. Formulate a linear programming model for this problem. b. Solve this model graphically. |

## Find the hilbert-transform pairThe Fourier series expansion of a real periodic signal is in the form of f(t) = a0 + n=1∑∞an cos(nω0t) + n=1∑∞ bnsin(nωot). Find the Hilbert-transform pair |

## Formulate a meaningful specification of the given problemThe traditional components of a stylized and general market equilibrium problem are, final demand functions, p = c - Dx, where D is an asymmetric positive. |

## Construct a linear optimization model for the chairsBangs Leisure Chairs produces three types of handcrafted outdoor chairs that are popular for beach, pool, and patios: sling chairs, Adirondack chairs, and hammocks. |

## What is the probability density function of tFor the equipment mentioned in Problem, Derive the failure rate function r(t), and draw a graph of the function. |

## What is the average mean score in the classWhat is the average (mean) score in the class? What is the median score? Compute the standard deviation of the data using equation 10.4 and a calculator. |

## Present value of lottery winningsYou just won the Publisher's Clearing House Sweepstakes and the right to 20 after-tax ordinary annuity cash flows of $163,291.18. Assuming a discount rate of 7.50%, what is the present value of your lottery winnings? Use a calculator to determine .. |

## Responsible for constructing1. Assume you work for an oil company that deals with oil contracts and you are responsible for constructing those oil contracts. Assume you have an oil contract that has the following characteristics: Zero initial cost and the buyer pays S - F ea.. |

## Determine how long before agent smith will rule the worldAgent Smith (the character from The Matrix movies) has a special power: Formulate a linear programming problem in order to determine how long before Agent Smith will rule the world |

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