Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work

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Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work

Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work. (calculus)

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Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work

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Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work

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Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work