A random variable follows a normal distribution with mean and standard deviation . What is the -score corresponding to ?
Answer and explanation
Correct answer: C.
- Step 1: The -score formula is .
- Step 2: Substitute given values: .
- Step 3: Calculate numerator: .
- Step 4: Divide: .
Answer
.
Why not the others: '' calculates ; '' calculates ; '' is the raw difference without dividing by .
Practise more Differential Calculus and Probability Distributions.
Free questions with an explanation for every one, and full timed EmSAT Achieve (UAE) mock tests.
More Differential Calculus and Probability Distributions questions
- What is the derivative of with respect to ?
- What is the derivative of with respect to ?
- Evaluate .
- At what point on the curve is the tangent line horizontal?
- If a fair standard 6-sided die is rolled twice, what is the probability that the sum of the two numbers is equal to ?
- In a binomial distribution with trials and probability of success , what is the standard deviation ?