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Find the probability for uniform distribution.
The random variable x is known to be uniformly distributed between 70 and 90. The possibility of x having a value between 80 to 95 is
Statistics and Probability, Statistics
A fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute. Would a sample of 18 fire calls with a mean response time o ...
A random sample of 9 TI-89 Titanium calculators being sold over the internet had the following prices, in dollars. 135,163,152,153,138,164,160,149,157 Assume the population standard deviation is σ+28 and that the populat ...
According to figures released by the New York City government, smoking among New York City teenagers is on a decline, continuing a trend that began more than a decade ago (The New York Times, January 2, 2008). According ...
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 6% of senior citizens suffer from both sleep disorders and anxiety. (a) Find the probability that a senior cit ...
The noise level in a room is measured n times. The error or each measurement is independent of the others and is normally distributed with zero-mean and standard deviation In terms of the true mean µ determine the PD ...
Suppose the IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 18. Using the empirical rule, what percentage of IQ scores are between 86 and 122?
Suppose a fair coin is flipped n times and the random variable Y counts the number of times heads occurs. What is the entropy of Y in bits?
Suppose we flip a coin three times, thereby forming a sequence of heads and tails. Form a random vector by mapping each outcome in the sequence to 0 if a head occurs or to 1 if a tail occurs. (a) How many realizations of ...
Question 1 Describe a recent Gallup poll. Be sure to include the results of the poll, how the poll was conducted, and what the results will be used for. Question 2 Describe a recent study where data was gathered. If poss ...
Suppose X is a Gaussian random variable with mean Suppose we form a new random variable according to Y= aX +b for constants a and b . (a) Prove that Y is also Gaussian for any a ≠ 0 . (b) What values for the constants ...
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