APPLIED CALCULUS (WILEY PLUS)
APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 7, Problem 24SYU
To determine

To indicate that the statement “If p (x) is the density function for a quantity x, then the median value T satisfies Tp(x)dx=0.5 ” is true or false

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2. In probability, it is common to model the deviation of a day's temperature from the monthly average temperature using the Gaussian probability density function, f(t) = This means that the probability that the day's temperature will be between t = a and t = b different from the monthly average temperature is given by the area under the graph of y = f(t) between t = a and t = b. A related function is 2 F(1) = e2/9 dt, r20. This function gives the probability that the day's temperature is between t = -x and t = r different from the monthly average temperature. For example, F(1) = (0.36 indicates that there's roughly a 36% chance that the day's temperature will be within 1 degree (between 1 degree less and 1 degree more) of the monthly average. 1 (a) Find a power series representation of F(r) (write down the power series using sigma notation). (b) Use your answer to (a) to find a series equal to the probability that the day's temperature will be within 2 degrees of the monthly average.…
With the known values of a = 200,000  and b = 230,000,  the first equation for the probability density function for the sales price of a home is found as follows. f(x)         =            1/b – a,                                a ≤ x ≤ b = 1/230,000 − 200000,                                 200,000 ≤ x ≤ 230,000 = 1/30000,                                                    200,000 ≤ x ≤ 230,000   Everywhere else, the probability density function will just be 0. Therefore, the full probability density function for the sales price of a home follows.     f(x) =     _______________            200,000 ≤ x ≤ 230,000                                                                      elsewhere
1. Suppose that for a certain life the probability density function is x (*) 1+x ,x >0 X. Find (i) the survival function ofx (ii) the probability that the life aged 25 will die within next 15 years. (iii) the probability that the life aged 42 will die between 55 and 62.

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APPLIED CALCULUS (WILEY PLUS)

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