1. The binomial distribution function B(n,x,p), can be calculated using Matlab/Excel. Construct a table for B(n,x,p) for n=21 and n=22 with the increment 0.05 for p starting p=0.05 and ending at p=0.95. You must present all the executable programming statements using Matlab or excel.

2. A record shows that 25% of the recorder made in a certain factory is defective. A lot of N=192 recorders are randomly chosen for inspection.

a) Find the probability that at most 55 will be defective

b) Find the probability that between 50 and 66 will be defective.

Using Matlab/Excel to find the answers for N=193, 194, 195, 196, 197, 198,199, 200

3.The sample of fat value of n=10 randomly selected hot dogs made by a fast food store was tested and found that the mean of fat value is 24.86 and the sample standard deviation is 4.134. The population mean of fat value is known as 21.90. Assuming that the n=10 samples of hot dogs were selected from a normal population distribution. Determine the probability that the fat value will be less than 24.86

Using Matlab/excel to find the answers for n=10,11,12,13,14,15

**Subject Mathematics Statistics-R Programming**