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Q1) Cereal manufacturer is aware that weight of product in box varies slightly from box to box. Actually, considerable historical data has allowed determination of density function which explains probability structure for weight (in ounces). In fact, letting X be random variable weight, in ounces, density function can be explains as
f(x) = 2/5, 23.75 ≤ x ≤ 26.25,
0, elsewhere.
i) Verify that this is valid density function.
ii) Find out probability that weight is smaller than 24 ounces.
iii) The company wishes that weight exceeding 26 ounces is extremely rare occurrence. Determine the probability that this "rare occurrence" does actually occur?
Write down the name of 4 parts of the regression equation.
A frequency polygon: does not depend on one variable. True-False
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots
Sales manager wishes to award sales representatives who earn the largest commissions a bonus of= $1,000 .He can award bonus to 20% of representatives. Determine cutoff point between those who earn bonus and those who don't?
Is there evidence of a significant difference in the proportion who get their news primarily from newspapers between those 36 to 50 years old and those above 50 years old? (use α = 0.05)
One characteristic of billiard balls is their elasticity - the bounce they get when striking one another. A manufacturer of billiard balls is testing three additives to the basic plastic.
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Give three logically possible directions of casualty, indicating for each direction whether it is a reasonable explanation for the correlation in light of the variables involved (and why).
A noted psychic was tested for ESP. The psychic was presented with 400 cards face down and asked to determine if each card was marked with one of four symbols: a star, cross, circle, or square. The psychic was correct in 120 cases. Let p represent..
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