(Solved): Specifications call for a thermistor to test out at between 9,000 and 10,000 ohms at 25 Celsius. ...

Specifications call for a thermistor to test out at between 9,000 and 10,000 ohms at $25^{\circ }$ Celsius. Ten thermistors are available, and three of these are to be selected for use. Let $Y$ denote the number among the three that do not conform to specifications. Find the probability distributions for $Y$ (in tabular form) under the following conditions. (Enter your probabilities as fractions.) (a) Two thermistors do not conform to specifications among the ten that are available. (b) Six thermistors do not conform to specifications among the ten that are available.