F(12,6). Find the following: (a ) F0.05 (12,6). (b) F0.95 (12,6). (c ) P(0.33 ≤ W≤ 4.00).
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- Repeat Example 1a for the function f(x)=2x2 on [1,2]. What is the probability that X will be between 32 and 2?Let f(r) 3" and g(r) 1. . and evaluate the following: 3. g(- 3 g(- 1)= 5. f(- 2): 6. f( – 3) = 3%3= 7. f(2) + g( – 2) = 8. f(2)-g(-2) = SubmitIf p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2? (-00, 11.2]; y 6 [11.2, 0o, ); y> 11.2
- Q3/ Find the following terms! a- Y{n} = 2x[n] x5 b[n] where X[n] = [0.1 -2 -1 40.5] and h[n] = [-0.2 3 4 -3] the mean convolution. b-Plot the following response 4 [n] = [-0.4 0.4 2.4 -4.2 7 8]Suppose that the function f(x) 20.25 average molecular speed for this distribution? Write your answer with one decimal place. Preview Submit Suppose that the function f(2)=(-2+82) represented a distribution of molecular speeds over the range 0 to 2. What is the average molecular speed for this distribution? 9.6 Write your with one decimal place. Preview Submit Suppose that the function f(x) value for 2² ? -z¹+92) represented a distribution of molecular speeds over the range 0 to 3. What is the 1 9.6 2¹ +82) represented a distribution of molecular speeds over the range 0 to 2. What is the average Write your answer with two decimal places. PreviewFind P(A' and B) from the following. P(A)= 0.46, P(B)= 0.48 and P(A and B) = 0.21
- Let X ∼ N(2, 4). (a) What is the distribution of (X−2) /2 ?The mean hourly wage W (in dollars) of chemists in the United States from 2000 through 2014 can be modelled by W=0.903t+26.08, 0≤t≤14 where t represents the year, t = 0 corresponding to 2000. (a) Based from the model, when was the mean hourly wage at least $30, but not more than $32?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?
- The following equations were estimated using the data in ECONMATH, with standard errors reported under coefficients. The average class score, measured as a percentage, is about 72.2; exactly 50% of the students are male; and the average of colgpa (grade point average at the start of the term) is about 2.81. score = 32.31 + 14.32 colgpa (2.00) (0.70) n = 856, R² = .329, R = .328. 29.66 + 3.83 male + 14.57 colgpa score = (2.04) (0.74) (0.69) n = 856, R? = .349, R = .348.The height of an object t seconds after it is dropped from a height of 280 meters is st) = -4.942 + 280. (a Find the average velocity of the object during the first 4 seconds. (b) Use the Mean Value Theorem to verify that at some time during the first 4 seconds of fall, the instantaneous velocity equals the average velocity. Find that time.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 probability that a stopped car is/was going faster than 85 mph? For each car stopped, the Var(X) is equal to what?