Answer to Question #59020 in Statistics and Probability for ABJ

Question

3. Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerator is running. Suppose that 7 of these refrigerator have defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order. Let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean value by more than 1 standard deviation
4. The error involved in making a certain measurement is a continuous rv X with pdf
f(x)={0.09375(4−x 2 )0 −2≤x≤2otherwise f(x)={0.09375(4−x2)−2≤x≤20 otherwise compute P(-1<x<="" span=""> </x