Let X denote the time in minutes (rounded to the nearest ½ minute) for blood samples...

Let X denote the time in minutes (rounded to the nearest ½ minute) for blood samples to be taken from patients in UrgentCare clinic near Mountainside, NJ. A random survey of 200 patients revealed the following frequency distribution in minutes.
X = x (mins)
0 0.5 1.0 1.5 2.0 2.5
Freq (# of patients)
20 38 62 44 14 22
Determine the following:
a) P (X < 2.0)
b) P (0.75 < X ≤ 1.5)
c) P (X ≥ 2.0)
d) P (X = 1.5)
e) Mean and standard deviation of the random variable X
f) Interpretation of mean of random variable X.
g) Draw a probability histogram (pdf) for the random variable X and locate the mean (draw a vertical dash line to indicate the mean) in a graph. Mark the x-axis and y-axis and indicate the variables and the scales appropriately.
h) Construct the c.d.f. for the random variable X in a graph formats. Mark the x-axis and y-axis and indicate the variable and the scale appropriately.

Expert Solution

milcah answered 6 days ago

For the time series below, enter the exponential smoothing predictions, rounded to the nearest 0.01. Let...

For the time series below, enter the exponential smoothing predictions, rounded to the nearest 0.01. Let alpha=0.25. Then calculate the error and MSE. Week Time Series Exponential Smoothing Error 1 8 2 12 3 15 4 11 5 13 6 16 Mean Absolute Error: Mean Squared Error: Exp. Smoothed prediction for week 7:

Let the random variable X denote the time (hours) for which a part is waiting for...

Let the random variable X denote the time (hours) for which a part is waiting for the beginning of the inspection process since its arrival at the inspection station, and let Y denote the time (hours) until the inspection process is completed since its arrival at the inspection station. Since both X and Y measure the time since the arrival of the part at the inspection station, always X < Y is true. The joint probability density function for X...

): Let X be the arrival time of a plane in minutes after the scheduled arrival...

): Let X be the arrival time of a plane in minutes after the scheduled arrival time at the Detroit Metro terminal. Assume that X has an exponential distribution with mean equal 10 minutes. Determine: (a) The probability that the plane arrives no later than 15 minutes late. (b) The probability that the plane arrives between 10 and 15 minutes late. (c) Assuming that the arrival times of the flight on different days is independent, determine the probability that the...

Let X denote the amount of time a book on 2-hour reserve in the Killam Library...

Let X denote the amount of time a book on 2-hour reserve in the Killam Library is checked out by a randomly selected Dalhousie student. Suppose X has the density function f(x) = 0.5 x for (0 ≤ X ≤ 2) otherwise f(x) = 0. Compute the following probabilities, a.) P(X ≤ 1.3) (Give decimal answer to two places past decimal.) Tries 0/2 b.) P(0.8 ≤ X ≤ 1.3) (Give decimal answer to two places past decimal.) Tries 0/2 c.)...

Let X denote the proportion of allotted time that a randomly selected student spends working on...

Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is f(x) = { (θ+1)x^θ, for 0≤x≤1 0, otherwise } where −1<θ. A random sample of ten students yields data x1=.92, x2=.79, x3=.90, x4=.65, x5=.86, x6=.47, x7=.73, x8=.97, x9=.94, x10=.77. (a) Use the method of moments to obtain an estimator of θ, and then compute the estimate for this data. (b) Obtain the maximum likelihood...

Let X = NN endowed with the product topology. For x ∈ X denote x by...

Let X = NN endowed with the product topology. For x ∈ X denote x by (x1, x2, x3, . . .). (a) Decide if the function given by d : X × X → R is a metric on X where, d(x, x) = 0 and if x is not equal to y then d(x, y) = 1/n where n is the least value for which xn is not equal to yn. Prove your answer. (b) Show that no...

The average waiting time for getting served at a specific restaurant is 6 minutes. Let X...

The average waiting time for getting served at a specific restaurant is 6 minutes. Let X denotes the waiting time to get served at the restaurant, and X follows an exponential distribution. You have waited 2 minutes. What is the probability that you have to wait for another 10 minutes or more to receive your service? report at least two decimal spaces (value between 0 and 1, not in percentage)

Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis...

Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis H0: mu = 2.1 versus Ha: mu > 2.1 are tested. Assuming the commercial time is normally distributed, give the appropriate rejection region when there is a random sample of size 20 from the population and we would like to test at the level of significance 0.01. Let T be the appropriate test statistic. Group of answer choices T > 2.539 T > 2.845...

Let R be a ring (not necessarily commutative), and let X denote the set of two-sided...

Let R be a ring (not necessarily commutative), and let X denote the set of two-sided ideals of R. (i) Show that X is a poset with respect to to set-theoretic inclusion, ⊂. (ii) Show that with respect to the operations I ∩ J and I + J (candidates for meet and join; remember that I+J consists of the set of sums, {i + j} where i ∈ I and j ∈ J) respectively, X is a lattice. (iii) Give...

Will Smith consumes chocolate and milk. Let y denote chocolate and x denote milk. Chocolate has...

Will Smith consumes chocolate and milk. Let y denote chocolate and x denote milk. Chocolate has an unusual market where there is only one supplier, and the more chocolate you buy from the supplier, the higher the price she charges per unit. In fact, y units of chocolate will cost Will y2 dollars. Milk is sold in the usual way at a price of 2 dollars per unit. Will’s income is 20 dollars and his utility function is U =...

Question