A Math class consists of 14 girls and 15 boys. The teacher randomly selects 6 students to show their work. What is the probability that all 6 of the students selected are girls? O [C(14,3)· C(15,3)]/C(29,6) O [C(14,3)+ C(15,3)|/C(15,6) O C(14,6)/C(15,6) O C(14,6)/C(29,6)

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: Given information: A car can travel from Town A to Town C by using the four roads. Probability of H1…

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Q4/B/ Three machines A, B and C produce respectively 1%, 2% and 3% of the total number of items of a…

A: Q4/B Let D denote the defective item. Given: PA=0.01PB=0.02PC=0.03PD|A=0.02PD|B=0.04PD|C=0.06 The…

Q: Three players Dan, Emily, and Frank are tossing a biased coin with P(H) = α. They rotate turns…

A: P(H)=α

Q: A building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A total of…

A: Given that a building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A…

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

Q: If 3 of the electric bulbs manufactured by a company were found to be defective in an hour, find the…

A: Given: 3 of the electric bulbs manufactured by a company were found to be defective in an hour we…

Q: hines A, B and C produce respectiv mer of items of a factory . the percent hines are 2%,4% and 6%…

A: The percentage of event A has produce items is,PA1=0.01. The percentage of event B has produce items…

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(F|E) = 0.2. What is P(E and F)? P(E…

A: GivenP(E)=0.5P(F|E)=0.2

Q: Assume the following informaon. The height of adult women in the city of Boston can be characterized…

A: 1. Let X denote the height of a randomly selected woman from City B. It is given than X has a normal…

Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…

A: P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.

Q: "two machines in a lightbulb factory are being inspected because quality control raised concerns.…

A: X~B6,0.3Y~B5,0.2

Q: U and V are mutually exclusive events. P(U) =0.25; P(V) = 0.4. Find: A. P(U AND V) = B. P(U|V) C.…

A:

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: the probability that a car cannot reach Town C from Town A = P(H1) * P(H2) * P(H3) * P(H4)

Q: Find the probability p() is p.d.f. I (2x+1) 15 x= 1,2,3 Example: p(x)={ elsewhere

A: Solution : Given  :  p.d.f. of X is, P(x)  = 115( 2x+1)          x=1,2,30elsewhere So, probability…

Q: Suppose you have a possibility to pass in mathematics 0.5. Also you have a possibility to pass in…

A: Let A represents mathematics1 and B represents mathematics2 so given that P(A) = 0.5 and P(B) = 0.7…

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.6. Find:  a.  P(U and V) =  b.…

A: When A and B are mutually exclusive events,  then  P(A∩B)= 0 P(AUB)=P(A or B) = P(A)+ P(B)-…

Q: Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From…

A: Probability of an event is given by dividing the number of favourable outcomes of the event by the…

Q: # 3) Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a…

A: Solution:

Q: Determine whether the events are independent. 2) Suppose the probability of event A is p(A) = .83…

A: Given that,

Q: Let A and B be two events such that P(A) = 1/4 While P(A or B) = 1/2. Let P(B) = P. For what values…

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

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

A:

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

A:

Q: Suppose that E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…

A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…

Q: Let A and B be two events such that P(A) = 1/5 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: Given: P(A)=15 P(A or B)=12 Let, P(B)=p The objective is to find the value of p, since A and B are…

Q: In a city, if the probability that 40/100 of the citizens have brown hair and that the probability…

A: Let A be the event that a citizen have brown hair and B be the event that a citizen have brown eyes…

Q: r+ w 6. (a) There are possible positions that the red balls could occupy in the ordering as they are…

A: