Coin toss. A fair coin is tossed n=80 times. Let p̂ be the sample proportion of heads (Peruvian suns). Find P(0.44 < p̂ < 0.61). Defective tools. It has been found that 2% of the tools produced by a certain machine have some defect. What is the probability that out of 400 such tools, a. 3% or more have some defect? b. 2% or fewer have some defect?

MATLAB: An Introduction with Applications
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  1. Coin toss. A fair coin is tossed n=80 times. Let p̂ be the sample proportion of heads (Peruvian suns). Find P(0.44 < p̂ < 0.61).

  2. Defective tools. It has been found that 2% of the tools produced by a certain machine have some defect. What is the probability that out of 400 such tools,

a. 3% or more have some defect?

b. 2% or fewer have some defect? 

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