In a kindergarten class, there is a bucket of crayons holding 4 different colors. Jimmy only likes red, but likes to pick his crayon without looking. Based on the distribution of crayons, there is a 32% chance Jimmy will pick a red crayon when he goes to the bucket. He grabs a crayon from the bucket and then throws it back in 46 times.

a.Is this a binomial distribution?If so, show that it is appropriate to use the normal distribution to approximate the binomial probabilities.

b.Regardless of part a, use the normal distribution to find the probability that he grabbed between 15 and 20 red crayons (inclusive).