Using Bayes' theorem, calculate the probability that a person who has had a positive test for a disease actually has the illness. Typically the test gives a correct positive result 90.0% of the time when a person has the illness. and gives an incorrect positive result 1.0% of the time when the person does not. Assume that 0.3% of the population has the illness, and the person who is tested was selected at random without necessarily showing any symptoms. Give your answer as a percentage with one digit after the decimal point. How would your answer in the previous part change if only people who showed symptoms typical of the illness were tested. and why?

Q: 2 3 (25-x2) 2

A: Given:The integral is,

Q: V(3278)3 + 6230 – 12e90i

A:

Q: (4) y=x +4 -5 -4 -3 6.

A: The given equation is: y=x+4

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: (1-2=) dr

A:

Q: 2. V686

A:

Q: - (2x – 1)(4x² + 2x + 1)

A:

Q: 196. 2(n+1)

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 1 7. 27 2.

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 18) 2x y

A:

Q: b) S 9+x

A: ∫x39+x8dx

Q: 9.2 2 15 5 3 16

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 5)235

A: Answer : 47

Q: 7 Find mLGBF. (4x-4)* (6x + 4)*

A:

Q: -2(5a)

A: To evaluate-2(5a)

Q: 9. (x² – 2)3

A:

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: 1) 6dx 3/3

A: ∫33361+x2dx=6∫33311+x2dx=6tan-1x333=6tan-13-tan-133=6tan-13-tan-113=6π3-π6=2π-π=π

Q: ydy (1+ у)*

A: We have to find the integral.

Q: (9, -7) (3, 1). Find 吕 ロ师仁 ?

A:

Q: ) 2x+4 16

A:

Q: いーx)dx

A:

Q: 3 5.) (x+ 7x-44) ÷ (x+ 9)

A:

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 4 -3 4m n 16) 22 4m n

A:

Q: No.6 b,c

A: Given, fx=x2 ; 0<x<1k-x ; 1<x<20     ; elsewhere Now,according to the properties of…

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: 12 16 5n

A: Area of triangle= (1/2) × Base × Height

Q: 8 15 2 15

A: 8/15 -2/15 here simple substraction given and fraction is given  calculation is given inbelow

Q: Expand 2(c+ 3).

A: Distributive property states that if x,y and z are three real numbers then x(y+z)=xy+xz.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.