SOLUTION: What is the probability that a normal random variable with mean 6 and standard deviation 3 will fall between 5.7 and 7.5 ?

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Question 1150701: What is the probability that a normal random variable with mean 6 and
standard deviation 3 will fall between 5.7 and 7.5 ?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



Look up on a z-table. The result is . This means there is a probability the random variable will be below .



Look up on a z-table. The result is . The means there is a probability the random variable will be below .

The find the probability the random variable will be between and , simply the two probabilities we found (above) from one another:



So, there is a probability the random variable will fall between and .


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