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Facebook reports that the average number of Facebook friends worldwide is 175.5 with a standard deviation of 90.57. If you were to take a sample of 25 students, what is the probability that the mean number Facebook friends in the sample will be 190 friends or more?
Derive an expression using the given data - Show that this reduces to the integration-by-parts formula if u and v are continuous across x = c. It is not necessary for du/dx and dv/dx to be continuous at x = c.
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
Important information about Cumulative Probability, Suppose the probabilities that a new car battery functions
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
Because the sample size is small, we must verify that reading speed is normally distributed and the sample does not contain any outliers. The normal probability plot and boxplot are shown. Are the conditions for testing the hypothesis satisfied?
Using the definition of the derivative and any standard limiting theorems, show that the derivative of (sinx)^2 is sin(2x).
The probability that both defective lights will be found, A box contains two defective Christmas tree lights that have been inadvertently mixed with eight non-defective lights. If the lights are selected one at a time without replacement
where t is the time. If the mass is initially at equilibrium and has a velocity of +1 m/sec, find its displacement as a function of time.
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
Estimation : Binomial Distribution Suppose T is a random variable such that
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
Let Cn denote the positively oriented boundary of the square x = +/- (N + 1/2)pie and y = +/- (N +1/2)pie where N is a positive integer
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