Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5Probability 0.262 0.291 0.240 0.151 0.037 0.019(a) Find the mean, variance, and standard deviation of the probability distribution. The mean isnothing.(Round to one decimal place as needed.)The variance isnothing.(Round to one decimal place as needed.)The standard deviation isnothing.(Round to one decimal place as needed.)(b) Interpret the results. The mean isnothing, so the average batch of 1000 machine parts has▼at least 2 defects. no defects.1 or 2 defects. The standard deviation isnothing, so most of the batches of 1000▼differ from the mean by no more than about 1 defect. do not differ from the mean. differ from the mean by no more than about 2 defects. differ from the mean by more than about 2 defects.(Round to one decimal place as needed.)