Engineering Board Exam Reviewer · Hypergeometric, Poisson, and Geometric Distributions · medium

A shooter hits a target with probability 0.2 on each independent trial. What is the probability that the first hit occurs on the 4th trial?

  1. 0.4096
  2. 0.0016
  3. 0.2
  4. 0.1024

Answer

D. 0.1024

Solution

Geometric: P=(1-p)k-1p=(0.8)3(0.2)=0.1024.

More Hypergeometric, Poisson, and Geometric Distributions questions

  1. A cable has an average of 2 defects per 10 meters (Poisson). What is the probability of no defects in a 10-meter length?
  2. Calls arrive at a switchboard at an average rate of 3 per minute (Poisson). What is the probability of exactly 2 calls in a given minute?
  3. A lot of 20 items contains 5 defective ones. Four items are sampled without replacement. What is the probability that exactly 1 is…
  4. A box has 8 good and 4 defective items. Five items are drawn without replacement. What is the probability that at most 1 is defective?
  5. Customers arrive at an average rate of 4 per hour (Poisson). What is the probability of at most 2 arrivals in one hour?

All Hypergeometric, Poisson, and Geometric Distributions questions