(a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) P(X ≤ 4) > P(X < 4) c) Calculate P(3.5 ≤ X ≤ 4.5). And P(4.5 < X).
(a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) P(X ≤ 4) > P(X < 4) c) Calculate P(3.5 ≤ X ≤ 4.5). And P(4.5 < X).
(a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) P(X ≤ 4) > P(X < 4) c) Calculate P(3.5 ≤ X ≤ 4.5). And P(4.5 < X).
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. I have correctly solved a) it is b) and c) that I am looking for assistance in solving. f(x) = 0.025x + 0.4 3 ≤ x ≤ 5 0 otherwise (a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 0.025x + 0.4 d (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)? P(X ≤ 4) < P(X < 4) P(X ≤ 4) = P(X < 4) P(X ≤ 4) > P(X < 4)
c) Calculate P(3.5 ≤ X ≤ 4.5). And P(4.5 < X).
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
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