Suppose That When a Transistor of a Certain Type Is

question 5

Essay

Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean of 40 and variance of 320.
a. What is the probability that a transistor will last between 1 and 40 weeks?
b. What is the probability that a transistor will last at most 40 weeks? Is the median of the lifetime distribution less than 40? Why or why not?

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Definitions:

Decompression Melting

The process where rock melts due to a decrease in pressure as it rises closer to the Earth's surface, without an increase in temperature.

Melting Point

The temperature at which a solid substance turns into a liquid under standard atmospheric pressure.

Oceanic Divergent Boundaries

Boundaries between tectonic plates that are moving away from each other, often resulting in the formation of new oceanic crust through volcanic activity.

Conveyor-belt Manner

A way of describing the movement and recycling of materials, often used in the context of plate tectonics and ocean currents.