In a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group i the study had an average threshold of pain (pain was first detectable) at u = 3.23 mA with standard deviation o = 1.24 mA. Assume that the distribution of threshold pain, measured i milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain from mA to mA (b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of pain from Ima to l

Q: B 2 -2.a O 2..0 п

A: Using Beta gamma relation, Beta function is given by:  B-12,1=Γ-12Γ1Γ1-12               =Γ-12Γ1Γ12…

Q: 5) 45° y 6.

A:

Q: いZ ch-1)2 いe1 2.

A:

Q: Graph the system of linear inequalities: Ps-2x-4 2x+2 a) 31 1 23 b) 3 -5-4 -3/-A-1 -1 23 -21 -5-4

A:

Q: (x-5)" 1. 5"

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A:

Q: 114 19

A:

Q: 4) 45

A: The length of the side AB=32 units. An angle m∠A=45∘ The objective is to find the value of 'x'.

Q: If we have the circle (z-1) +(y– 1) = 25 and we intersect it with line y=4 what are the two…

A: Solution:Given(x-1)2+(y-1)2=25  and y=4To find the intersecting points.

Q: Sescoodk

A:

Q: What is the meaning of algebera

A:

Q: -5 w2 In(w) dw

A:

Q: d) 52 = 15

A:

Q: State whether each branch is either increasing, decreasing, or constant. Branch 1 Branch 2 Branch 3…

A: Function is said to be increasing if on increasing input value of varaible x, corresponding…

Q: iowati7 wt3=D0

A: The given quadratic equation is:10w2+17w+3=0

Q: Evaluate,

A:

Q: 44) 2,238

A:

Q: 6. Suppose that P(E)=0.61, P(F) = 0.43, and P(EF) = 0.27. Find the following:

A: 6) Given,P(E) = 0.61P(F) = 0.43And 0.27Using formula,

Q: Can you answer d,e, and f pl

A:

Q: P(Iz/>1.64)=?

A: P(|z|>1.64)=?

Q: 57) 5,624

A:

Q: answer letter d, e, f

A: We will use Excel to find the area under the t distribution curve.

Q: Tind 2 , (-, 12 ) 274. ift ang la Cd)s

A: To find the dot product of the following given parts.

Q: 15 9,

A:

Q: 14 In2) Gc-リ2

A:

Q: Trying to answer c)

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.10 to the left of…

Q: MAT 125 planetfitness.com planet The weights of deer in a national park are normally distributed…

A: Given Data : Population Mean,μ = 65 Population Standard Deviation,σ = 8.4

Q: combinations. 16 c 2

A:

Q: 3) 3/2 45 2

A:

Q: 3.00÷4

A: The detailed solution is given below Thank you

Q: Thank you in advance :)

A: Let X be the time students study per week and Y be their final exam scores. Given: Sample size (n) =…

Q: (- 12 m 13 m

A:

Q: could you answer e) please

A: We will find how initial value make changes in rate of change in a function

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.