onsider the following. P(A) = 0.31 and P(B) = 0.36, and P(A and B) = 0.15 (a) What is P(A | B)? (Give your answer correct to two decimal places.) (b) What is P(B | A)? (Give your answer correct to two decimal places.) (c) Are A and B independent? yesno    cannot be determined

Q: Find x so that a || b. D. 5x (x + 12) 9-

A:

Q: The contingency table below shows the results of a survey of video viewing habits by age. Video…

A: Given information: viewer age Mobile/laptop device TV screen Row total 18 to 34 31 33 64 35…

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

A:

Q: P(A)=0.7 P(B)=0.4 P(A or B)=0.3 Find P(A and B)

A: Solution: From the given information, P (A)=0.7, P(B)=0.4 and P(A or B)=0.3.

Q: Pr(A) = 0.2 %3D Pr(B) = 0.4 %3D Pr(A|B) = 0.5 Hence, find Pr(A n B) Select one: О 0.1 O 0.2 O 0.3 O…

A:

Q: then A || -7 0 0 0 0 0 -8 0 0 0 0 -4 0 0 5

A:

Q: P(A|B) = 0.2, P(A) = 0.5, P(B) = 0.45                    Find P(A U B)

A:

Q: ■ P(a)=P(a) (0.9) + P(b) (0.1) + P(c) (0.3) ■ P(b)=P(a) (0.05) + P(b) (0.8) + P(c) (0) ■ P(c)=P(a)…

A: Given data, Pa=Pa0.9+Pb0.1+Pc0.3Pb=Pa0.05+Pb0.8+Pc0Pc=Pa0.05+Pb0.1+Pc0.7

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: What is the answer to this?

A: Concept of General Addition Rule:For any two events A and B the General Addition Rule state that:

Q: 3 4 2 3

A: Given query is to find the fraction.

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

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: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: Second answer of C is not the correct answer

A: Given data values 323 326 331 339 350 353 356 359 360 364…

Q: P(A)=1/5 P(b)=7/20 P(A and B)=? P(A)=1/4 P(B)=3/5 P(A and B)=?

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!