Respuesta :
The mean of W (µ W) is 0.6 walleye.
This can be calculated using the probability mass function. The probability mass function is calculated by multiplying the probability of the event (in this case, catching a walleye) by the number of events (in this case, catching two fish). Since there is a 30% chance of catching a walleye, the probability mass function is 0.3 x 2, which results in 0.6 walleye. Thus, the mean of W is 0.6 walleye. This means that on average if Eva catches two fish, she would expect to get 0.6 walleye.
The probability mass function is used to describe the probability distribution of a discrete random variable, meaning one that can take on only a countable number of values. It is also used to calculate the expected value of a discrete random variable.
Learn more about probability mass function here:
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Complete Question:
Eva loves to go fishing. Each time she catches a fish, there is a 70% chance that it is a northern pike and a 30% chance it is a walleye. Let W be the random variable that represents the number of walleye Eva gets if she catches 2 fish. Calculate the mean of W. µ W = ____ walleye.