2. In certain experiments, the error made in determining the solubility of a sub

Question

2. In certain experiments, the error made in determining the solubility of a substance is a random variable have the uniform distribution with a = -0.040 and b = 0.020.
a) What is the probability that the error of a single experiment will be between 0.010 and 0.015?
b) What is the probability that the error of a single experiment will be between -0.012 and 0.012?
c) What is the probability that the error of a single experiment will be zero? Explain your answer.

How would you solve part C and why?

Explanation / Answer

a)  probability that the error of a single experiment will be between 0.010 and 0.015 =(0.015-0.010)/(0.020-(-0.040))

=0.005/0.060=5/60=1/12

b) probability that the error of a single experiment will be between -0.012 and 0.012=(0.012-(-0.012))/0.060=12/60=1/5

c) as any continuous distribution does not provide point probability, but interval probability which is equal to area under its curve.

hence probability that the error of a single experiment will be zero=area covered by point 0 on uniform distribution=0

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.