Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.

With 55 gallons of fuel in its tank, the airplane has a weight of 2252 pounds. What is the weight of the plane with 22 gallons of fuel in its tank?

## Probability of player a or player b getting the scoreIf Player A gets to throw 2 darts and Player B gets to throw 5 darts, how do you calculate the probability of Player A or Player B getting the highest total score? |

## Calculate the z or t value of the sample test statisticCalculate the z or t value of the sample test statistic |

## Using m-method solve the above lpUsing M-method solve the above LP. Does the problem has alternative optimal solution? If so, find all the alternative optimal solutions. |

## Compare the observed values of the test statisticCompare your observed values of the test statistic in parts F & G. What conclusion do you reach from this comparison? |

## Benefits of being able to find the expected valueWhat are some of the benefits of being able to find the expected value of a probability distribution? Give an example of how this could be used your advantage in a business setting |

## Make a table showing the probability distribution functionMake a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game. |

## Woman who tests positive is actually pregnantSuppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant? |

## Probability- bayes'' theoremProbability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view. |

## Find whether the given information results in one triangleFind whether the given information results in one triangle. |

## Perform a reliability analysis of the downtime dataYou have to perform a reliability analysis of the downtime data. |

## Evaluate the distance travelled using the number of rotationReal time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations. |

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