The probability that an event will not happen is P (E')= 0.69.   The probability that the event will happen is?

Q: cosh(7)=

A: cosh is hyperbolic function. Formula for cosh is given by, cosh(x) = ex+e-x2

Q: Determine the derivative of f(x) = Cosh(5 x) csc(x)

A:

Q: There is an average of four accidents per month at an intersection. Assume that a month has 30 days.…

A: The variable X is defined as the number of accidents. There is an average of four accidents per…

Q: A die is thrown 8 times. Let X = number of 3's. Find P ( X> 2). %3D

A:

Q: Sx-4/5 dx

A: Given, I=∫x-45dx

Q: Consider the following data on sleep deprivation rates of Californians and Oregonians. The…

A: Denote pCA is true proportion of residents, who reported insufficient rest or sleep during each of…

Q: Ex=1/e2

A: Ex=1/e2 => Ex=e-2

Q: A news article reports that "Americans have differing views on two potentially inconvenient and…

A:

Q: Assume that people remain healthy for an exponential time with mean before becoming sick. Assume…

A: Given People remain healthy for an exponential time with mean 1λ before becoming sick. It also takes…

Q: The joint p.d.f. of the random variables x and y is given by I fzy (x, y) = {! in the shaded area…

A:

Q: 00 e*dx= %3D 1,0 .b C

A: option b :- 1

Q: Differentiate x *. Hence find [x(2+ x)e* dx.

A:

Q: Example2: Calculate IT- Øe*d6.do. dx

A: W have to calculate ∫03∫01∫01−ϕ2ϕexdδdϕdx…

Q: Sinh(8)=

A:

Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: Show that di = s> 0.

A: Laplace transform

Q: Given: X 37 30 2 75 14 71 72 8 82 8 35 85 82

A: Given data is X=37,30,2,75,14,71,72,8,82,8,35,85,82N=13

Q: Explain what it means if a' . b = 0

A:

Q: Solve e* = 20 for x.

A: we need to solve for x

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a…

A: From the given information we want to find Z test statistics and p Value

Q: du / (1 - e")2

A:

Q: A coin which has probability 0.45 of coming up Head is tossed three times. Let X be the number of…

A:

Q: Ql Find se dx |

A:

Q: Evaluate ln(-5.2-j1.3)

A:

Q: -, z) = ( %3D

A:

Q: Suppose that the time in minutes, Y , that an insect spends on a plant is exponentially distributed…

A: Given that  Y ~ Exp(1/3)

Q: The expression of Absorption's law is given by what?

A: The expression of Absorption's law is

Q: There is a growing recognition among medical professionals that cancer screening is a double-edged…

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!