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- For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is greater than 70(mph). The price of a speeding ticket is equal to Y = 15 + (1/10)X(X-70) What is the average price E[Y] of the speeding tickets?d. Find an equation of the normal line to the graph of y = √√x + 1 at the point (3, 2).For a variable x that is normally distributed with ?=200, ?2=64. Find (i) P(x>210) (ii) P(184<x<204) (iii) k such that P(x>k)=0.01
- Assume x is exponentially distributed with a mean of 4. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)Suppose X = the time it takes Bob to do a task is at least 10 minutes but no more than 15 minutes. X has a uniform distribution. What is f(x)? f(x) = 1/5 f(x) = 1/15 f(x) = 0 f(x) = 1/103. Let X Pois(4). Find the distribution of Y = √X.
- Given pdf f (x) = 1.5x2 for −1< x < 1. Determine variance of X.d. Denote the expected return and its standard deviation as functions of π byμ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as πvaries from 0 to 1. Plot this curve. I need to draw a graph from this??Find the value of x if ST_ is the midsegment of ΔEFG.