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A study was designed to compare two energy drink commercials. Each participant was shown the commercials in random order and asked to select the better one. Commercial A was selected by 45 out of 100 women and 80 out of 140 men.
Conduct a test for checking that the proportions of women and men that liked commercial A are the same versus the two-sided alternative at the 5% level.
A vertical line is drawn through a normal distribution at z = -0.25, and separates the distribution into two sections. What proportion of the distribution is in the larger section?
If 100 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?
The time (in hours) until failure of a transistor is a random variable X which is exponentially distributed with mean = 50. It is observed that after 40 hours the transistor is still working. Find the conditional probability that X > 65.
Suppose we measured all the heights in centimeters, instead. There are 2.54 cm/inch? Question: What will happen to the covariance?
Create the table for frequency distribution that has 16 class intervals of width 1 inch. Utilize 61.5 inches as lower limit of first interval and 62.5 as upper limit.
Known that 15% of walls painted with this paint need more than 55 minutes to dry completely. Find the standard deviation of this distribution.
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is less than -2.20 is.
A deck of 52 cards is dealt face up in a row. What is the probability that all 4 aces and all 4 kings are adjacent (but in any order)?
A mean given by mu=143 lb and a standard deviation given by sigma=29 lb. If 1 woman is randomly selected, find the probability that her weight is below 113
Someone tells you that 50% of the tickets in the box show positive numbers. Do you believe it? Answer yes or no, and explain.
Determine the covariance matrix for values of this process at time t=1,2,3,4. Determine its inverse(numerically) and write formula for pdf of corresponding random vector.
43 students, 22are sophomores, 28are chemistry majors, and 11are neither. What are the probability that the student is both a sophomore and a chemistry major?
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