The probability that a smoke alarm will function properly and sound an alarm in the presence of smoke is 0.9. You have two such alarms in your home and they operate independently. a. What is the probability that both smoke alarms sound an alarm in the presence of smoke? Give the number and show your work. b. What is the probability that neither smoke alarm sounds an alarm in the presence of smoke? Give the number and show your work. C. What is the probability that at least one smoke alarm sounds an alarm in the presence of smoke? Give the number and show your work.

Q: The data were collected from a statistics class. The column heads give the variable, and each of the…

A: The objective is to find another categorical variable that might have been recorded for the…

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

A: P(A) = 0.4 P(B) = 0.5 P(A'∩B') = 0.1 P(A∩B) = ?

Q: The probability that a student passes a Math course is 0.7. If the student has 8 math courses in her…

A: Here, n = 8 and p = 0.7

Q: It is said that the probability that a genuine item will be evaluated as an imitation is 0.05, and…

A:

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: You have a 4 sided die (with numbers 1,2,3, and 4) that you are going to throw. You are told that…

A: Here the given information is You have a 4 sided die (with numbers 1,2,3, and 4) that you are going…

Q: If A and B are mutually exclusive and the P(A) = 0.3 and P(B) = 0.4. %3D Find the probability of A…

A: We have given that,  P(A) = 0.3 and P(B) = 0.4 Then,  We will find the probability of A and B if the…

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: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  event A: uncle josiah show up B : aunt beatrice show up   P(A) = 0.48 P(B) = 0.43 P(A∩B)…

Q: The probability of John going to the movies today is 0.7. The probability of Sam going to the movies…

A: Answer:- The probability of John going to the movies today is P(J) =  0.7               The…

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  P(uncle josiah  show up)  = 0.38 P(aunt Beatrice show up) = 0.27 P(both show up) = 0.1…

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

A:

Q: The probability that a police officer is hiding behind a billboard next to the highway is 0.06. The…

A: Conditional probability:   Let A and B be two events, then the condition probability for event A,…

Q: In a group of children the probability a child had black hair is 0.7. The probability that a child…

A: We have given that  P( black hair ) = 0.70 P( brown eyes ) = 0.55 P( black hair or brown eyes ) =…

Q: The probability of a tornado in your home county in any one year is 0.073. What is the probability…

A: Answer:- Given, The probability of a tornado in your home county in any one year is 0.073. That is,…