1. Suppose that a continuous probability function has a density curve, and 25.6% of the area under this density curve is shaded. What probability does that shaded region represent? Probability (give your answer as a decimal):  2.  Express the region that is described below as a probability. The area under a continuous density curve between x=−1.21x=-1.21  and x=1.96x=1.96 , where the horizontal axis is scaled in units of the random variable xx . P(−1.21

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1. Suppose that a continuous probability function has a density curve, and 25.6% of the area under this density curve is shaded. What probability does that shaded region represent?

Probability (give your answer as a decimal): 

2. 

Express the region that is described below as a probability.

The area under a continuous density curve between x=−1.21x=-1.21  and x=1.96x=1.96 , where the horizontal axis is scaled in units of the random variable xx .

  • P(−1.21<xorx<1.96)P(-1.21<xorx<1.96)
  • P(1.96<x<−1.21)P(1.96<x<-1.21)
  • P(x<−1.21or1.96<x)P(x<-1.21or1.96<x)
  • P(x<−1.21and1.96<x)P(x<-1.21and1.96<x)
  • P(−1.21<x<1.96)

3. The time it takes me to wash the dishes is uniformly distributed between 6 minutes and 16 minutes.

What is the probability that washing dishes tonight will take me between 10 and 14 minutes?

Give your answer accurate to 2 places after the decimal point, if necessary.

4. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 180 and a standard deviation of 9.2.  Find the value of the score at the 55th percentile (P55).

Round your answer 2 places after the decimal point.

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