clude four decimal places.) ote: This is a challenging problem. а. Р(X > 5) - || b. Р(X < 3) - %D c. P(X > 7| X > 5) =

Q: X~N(40,?2) and P(X>50) = 0.119. Find the value of ?.

A: From the provided information, Mean (µ) = 40 Variance = σ2 X~N (40, σ2)

Q: The values for P(A₁ B) and P(A₂B) were found to be 0.20 and 0.02, respectively. Use these values to…

A: P(A1⋂B)=0.20, P(A2⋂B)=0.02

Q: (Z over 8) - (1 over 2) = (z over 6)

A: Given equation is

Q: What is the value of x in the equation O x = = 2/²/² O x = 3²/ = 4¹/ O O x x = 6¹ -1/2 = 3 1/2 C

A: Please see the below picture for detailed solution.

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1&lt;x≤x Therefore, 2x-1&lt;2x≤2x ⇒3x-1&lt;3x≤3x . . . ⇒nx-1&lt;nx≤nx ∴ (x + 2x + 3x…

Q: 2.54. If A and B are mutually exclusive, P (A) = 0.37, and P(B) = 0.44, find (a) P(A'); (b) P (B');…

A: Given that A and B are mutually exclusive events then P(A or B)=P(A)+P(B) P(A)=0.37 and P(B)=0.44…

Q: Consider the following multiple regression equation with three independent variables: 194.9…

A:

Q: X 0 1 2 3 P(X = x) |0.512 0.384 0.096 0.008 Find P(more than 2 identifications are incorrect).

A: From the provided information, x 0 1 2 3 P (X = x) 0.512 0.384 0.096 0.008…

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

A:

Q: 2.1 Evaluate f xvx +5dx (10 marks)

A: Given that   xx+5 dx Substitute u=x+5 →dudx=1  and x=u-5 ∫xx+5 dx=∫u-5 u du…

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 3. (10 points) Evaluate 1²++)dx

A: ```markdown3 . (10 points) Evaluate ∫12​(1/x2+1/x3)dx To solve  integral , we can split it into two…

Q: Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane…

A: A. Here for the given system ,eigenvalues of  are  ,complex with only imaginary part.Hence…

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: Let X represent the difference between the number of heads and the number of tails when a coin is…

A: Given that: Total number of times a coin tossed, n=36 To find: Probability of getting the difference…