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Can someone please help me understand and answer the following statistical questions:
1. Suppose the random variable X is normally distributed with µ = 90 and σ2 = 16. What is the value of b such that P(X ≤ b) = 0.0062?
2. Suppose the random variable X is normally distributed with µ = 100 and σ2 = 25. What is P(100 ≤ X ≤ 115)?
3. Suppose the random variable X is normally distributed with µ = 10 and σ2 = 9. If the sample size is equal to 10, what is the sampling distribution of the sample mean, ¯ X?
4. Suppose the random variable X is normally distributed with µ = 100 and σ2 = 16. What is P( ¯ X ≥ 98) if the sample size n is equal to 4?
5. Suppose the population proportion is 0.60. If the sample size is equal to 20, what is the sampling distribution of the sample proportion, 'p-hat'?
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
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Estimate the population mean
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