1 20 The FORTE satellite records data on lightning strikes S

1. [20] The FORTE satellite records data on lightning strikes. Suppose that, while the satellite is over a particular region, detectable lightning strikes are occurring at an average rate of 1 strike every 2 minutes. (a) [4J Because FORTE is moving in orbit, it can only observe this region for a 10-minute period. Let X = the number of detectable lightning strikes during a 10-minute period. What type of random variable is X? (Circle one letter.) A. Poisson R Uniform C. Binomial D. Exponential E. Normal (c) [4] Let T the length of time (in minutes) for the first detectable lightning strike to occur. What type of random variable is P (Circle one letter.) A. Poisson B. Uniform C. Binomial D. Exponential E. Normal

Solution

a. Option C is correct as the distribution is clearly normal. In fact, normal distribution is the only distribution where you get a maxima.

c. For same reason as above, the distribution is normal.