# Question: Check in each case whether the values of n and

Check in each case whether the values of n and θ satisfy the rule of thumb for a good approximation, an excellent approximation, or neither when we want to use the Poisson distribution to approximate binomial probabilities.

(a) n = 125 and θ = 0.10;

(b) n = 25 and θ = 0.04;

(c) n = 120 and θ = 0.05;

(d) n = 40 and θ = 0.06.

(a) n = 125 and θ = 0.10;

(b) n = 25 and θ = 0.04;

(c) n = 120 and θ = 0.05;

(d) n = 40 and θ = 0.06.

**View Solution:**## Answer to relevant Questions

In a given city, 4 percent of all licensed drivers will be involved in at least one car accident in any given year. Use the Poisson approximation to the binomial distribution to determine the probability that among 150 ...When calculating all the values of a binomial distribution, the work can usually be simplified by first calculating b(0;n,θ) and then using the recursion formula Verify this formula and use it to calculate the values of ...Among 25 silver dollars struck in 1903 there are 15 from the Philadelphia mint, 7 from the New Orleans mint, and 3 from the San Francisco mint. If 5 of these silver dollars are picked at random, find the probabilities of ...Sketch the OC curve for a sampling plan having a sample size of 25 and an acceptance number of 2. Show that if a random variable has an exponential density with the parameter θ, the probability that it will take on a value less than – θ ∙ ln(1 – ρ) is equal to p for 0 ≥ p < 1.Post your question