An insurance company reported that, on average, claims for a certain medical procedure are $942. An independent organization con
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Answer:
Carmen's estimate is too low, since rolling 200 times results in a total of 50.
Step-by-step explanation:
Initially, we will define the sample space for this scenario.
The sample space is Ω = {1,2,3,4,5,6,7,8}
For the event A: "Rolling an 8-sided die to get a multiple of 4"
The probability for event A is
This is because there are two multiples of 4 (4 and 8) out of a total of eight numbers (1 through 8).
Next, considering the random variable X: "Total count of multiples of 4 if she rolls an 8-sided die 200 times"
X can be described as following a Binomial distribution.
X ~ Bi (n,p)
X ~ Bi (200,)
Where n is the number of rolls and p is the probability of success, defined as rolling a multiple of 4.
The mean for this variable is
Thus, we conclude that Carmen's prediction is low, as rolling 200 times yields 50.