event that the smoke will be detected by at least one of A and B. b. event that the smoke will not be detected. c. event that the smoke will be detected by device A alone.

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Find the probability that Rebecca's fish are: (i) both the same sex (ii) both female (iii) both…

A: i) If the both fish are to be same sex then both can be male or female: (715*614)+(815*714)…

Q: Find the probability of the indicated event if P(E)= 0.30 and P(F) = 0.55. Find P(E or F) if P(E and…

A: The provided information are: P(E)=0.30 P(F)=0.55 P(E and F)=0.15 To calculate the P(E or F) use the…

Q: The probability that a smoke alarm will function properly and sound an alarm in the presence of…

A:

Q: The probability of A is 0.4. The probability of B is 0.5. The probability that neither A nor B…

A: From the provided information, P (A) = 0.4, P (B) = 0.5 Probability that neither A nor B happen is…

Q: Suppose that 85% of all defendants are indeed guilty. In a criminal trial by jury, the probability…

A: Let A1, A2, ... , An be n mutually exclusive and exhaustive events with P(Ai) > 0 for all i = 1,…

Q: The​ three-year recidivism rate of parolees in a certain state is about 20​%; that​ is, 20​% of…

A:

Q: 15. Suppose that the probability that Bob eats an apple at lunch is 32%. Also, suppose that the…

A: 15) The probability that Bob eats an apple at lunch is 32%. The probability that Bob eats a pear at…

Q: The probabilities of three teams A, B and C winning a badminton competition are 1/3,1/5 and 1/9…

A: (a) P(A)= 1/3 P(B)= 1/5 P(C)= 1/9 Probability that either A or B will win  P(A or B)= P(A)+P(B)-P(A…

Q: We know that on a random day during the summer the probability that the student jogs is 0.65, the…

A: Let J - jogs,  S-swim. P(J) = 0.65 P(S) =0.40 P(J and S) = 0.18

Q: A company receives 30% of its shipments from source A and the rest from source B. For source A, the…

A: Let S1 denotes the event that a randomly selected shipment is from source A and S2 denotes the event…

Q: For the given pair of events, classify the two events as independent or dependent. Having an…

A: Here the first one is having an excellent driving record and getting a good rate on auto insurance.

Q: Select the most appropriate response. An event A will occur with probability 0.4. An event B will…

A: Given,         PA=0.4         PB=0.6         PA∩B=0.20      →If two events are independent…

Q: An event A will occur with a probability of 0.7. An event B will occur with a probability of 0.2.…

A:

Q: A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available…

A: a. P[drug ineffective]= 1-P[drug effective]=1-0.36=0.64 Event that the patient will need to take 4…

Q: A survey of 100 people in New York City., NY found that, The probability that they take the subway…

A:

Q: Suppose you have 12 drinks, 7 regular and 5 diet, in a cooler. You select two at random. Answer the…

A: Obtain the probability that you get no diet drinks. The probability that you get no diet drinks is…

Q: On a weekend morning, the probability that a child watches television is 0.68. On a weekend morning,…

A: Given problem Given that   On a weekend morning, the probability that a child watches television…

Q: Helen plays basketball. Helen must now attempt two free throws. C = the event that Helen succeeds on…

A: Given,P(C)=0.54P(D)=0.54P(D|C)=0.49

Q: 3. Of 500 newly admitted college students, 220 are enrolled in College Algebra, 320 are enrolled in…

A: Given:  Total n = 500 students  College algebra : 220 students  English 1: 320 students  Both : 125…

Q: A certain neurotoxin has a 60% probability of killing a person depending on the host’s reaction and…

A: Let us denote  X=the number of people who survive  n=number of trials=25 Probability of killing=…

Q: Graduation exercises are to be held outdoors on Thursday if it does not rain. If it rains on…

A: HERE  GIVEN PROBABILITY OF RAIN ON THURSDAY= P(RT)=0.4 PROBABILITY NOT RAIN FRIDAY GIVEN IT WAS RAIN…

Q: Math Club is having a meeting. If student activities has an event at the same time, I estimate that…

A: Given that

Q: Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a…

A:

Q: A minesweeper uses a robot to check two routes (A or B) for mines. The probability that the robot…

A: Solution

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.33 and event B…

A: (a) Here, the event A and the event B are mutually exclusive. Hence,  PA∩B=0. The DeMorgan's law is,…