Calculus and Above

Calculus and Above

# Let X be a normally distributed random variable with mean

Customer Question
Hello JA: Hello. What seems to...
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JA: Hello. What seems to be the problem?
Customer: Let X be a normally distributed random variable with mean equals 100 and standard deviation equals 10. Find the probability that X is between 70 and 110. Round your answer to the nearest whole number percent and include the percent symbol
Customer: No
Submitted: 6 months ago.Category: Calculus and Above
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5/11/2017
Tutor: Math-John, PhD in Statistics replied 6 months ago
Math-John, PhD in Statistics
Category: Calculus and Above
Satisfied Customers: 1,315
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Hello, Thank you for using Just Answer. First compute the Z scores. (70-100)/10 = -3. (110-100)/10 = 1. Now we can write P(70 < X < 110) = P(-3 < Z < 1) = P(Z < 1) - P (Z < -3) = 0.8413-0.0013 = 0.8400 = 84%. The numbers 0.8413 and 0.0013 can be found from a normal table or computer software. The answer is 84%. Please let me know if you have any questions. Thanks.
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