Question

The time X (min) for a lab assistant to prepare the equipment for a certain experiment...

  1. The time X (min) for a lab assistant to prepare the equipment

for a certain experiment is believed to have a uniform distribution

with A=25 and B=35.

a. Determine the pdf of X and sketch the corresponding

density curve.

b. What is the probability that preparation time exceeds

33 min?

c. What are the mean and variance value of X.

d. What is the cdf of the X.



  1. Let Z be a standard normal random variable and calculate

the following probabilities, drawing pictures wherever

appropriate.

  1. P(0 <Z < 2.17)

  2. P(1.5<Z)





  1. In each case, determine the value of the constant c that

makes the probability statement correct.

  1. P(c<Z)=.121

  2. P(0<Z<c)=.291










  1. Find the following percentiles for the standard normal distribution.

Interpolate where appropriate. A. 91st B. 25th





Math   Statistics-And-Probability   
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