If X has p.d.f. f(x) = .0sxs3 1o, 0.w. The probability that the quadratic equation 4t2 + 4tX + X +2 = 0 has real

Q: J(x-3x)dx = x' 3x +C 2 -3х + С 4 b. 3x-3+C 3x+C 4 4x* -6x +C

A:

Q: 1 2T 4 T2 8T e es 5. 8. e ell e3+ e + T Select one: O True O False

A:

Q: 2 9 x - x = (x)} JI a. Write f(x) in vertex and intercept form b. Find the maxima c. Write the…

A:

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

A:

Q: 2x5 + 4x + g(x) = (2x5 4 8/5 x²

A: Given: The given function is gx=2x5+4x+4x28/5. To find: We have to differentiate the given function.

Q: √3x²e²dx

A: Formula for integration by parts                                        ∫f(x)g(x)dx=f(x)∫g(x)dx…

Q: Evaluate. Use a capital C for any constant. 14(6z - 1) (62 - 2z - 1)° da %3D |

A: givenI=∫14(6x-1)(6x2-2x-1)9dx substitute 6x2-2x-1=uafter…

Q: If v1 = and v2 = are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -4 and A2 =…

A:

Q: X+7x x-intercepts of f(x) = .2 %3D x +7x-6

A:

Q: Let f(x)= = -2 x²+3x O Only 0 O Only 3 O Only -3 Only 0 and 3 What values of x have to be excluded…

A: given  f(x)=-2x2+3xfor domain  x2+3x≠0

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: d. e. 8x³10x² - 12x - 15 2x² - 3 I 3x4 - 2x² - 5 3x² - 5 13 X x² − 1⁄2x³ + 3x² −5/2x+12/20 - f. 9 -…

A: Solve given expression using long division method

Q: Find the roots of the functionf(x) = (2x−1)·(x2+ 2x−3) withx∈R

A:

Q: J x(x² + 3)5 dx

A:

Q: · Let f(x) = 8x? and g(x) a. Find (f+ g)(x). b. Find (f – g)(x). c. Find (f g)(x). d. Find (스) (x).…

A:

Q: If f(x) = x²-x+3, then f(-2x) equals A. 4x² - 2x + 3 B. -4x² + 2x + 3 C. 4x² + 2x + 3 D. 2x² + 2x +…

A:

Q: how many zeros are in the solution to the function g(x)=x2-3x+4

A: SOLUTION-

Q: If P(x) = x2 + x + 1, find P(7). P(7) =

A: Given that  P(x)=x^2+x+1  To find the P(7)

Q: B Sin3X 6653X + X3

A:

Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: Find the value of x A 3 (x-4)

A:

Q: Find x. A (2x – 15)* (2x 15)° - C

A:

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

Q: h(x) а. h(-2) b. h(1) c. For what values of x is h(x) = -1? -2 -2 -1 -1 1 -1 -2

A: Consider the table: x hx -2 -2 -1 -1 0 0 1 -1 2 -2   Find. a) h-2 Since the value…

Q: PY|X| (3|4) =?

A: Let us denote the possible outcomes in the form of ordered pairs (B, R) where B represents the…

Q: If P(x) = x +x+ 4, find P(8). P(8) =D

A:

Q: xdx √x-2

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!