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]Find P(A' and B) from the following. P(A)= 0.46, P(B)= 0.48 and P(A and B) = 0.21Let X ∼ N(2, 4). (a) What is the distribution of (X−2) /2 ?
- 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. PreviewThe 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?
- 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?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.
