A coin is in one of 5 boxes. The probability that it is in the ith box is (i/15). If you search in the ith box and it is there, you find it with probability (4/5). Find the probability that the coin is in the 3rd box given that you have looked in the 1st box and did not find it.

Q: A restaurant owner speculates from his past experience that 20% of the customers cancel their…

A: We have to find probability case by case and the  add.

Q: Let X be a continuous random variable whose density is: (see image below): The probability P(0.679…

A: We have to compute the probability that x is greater than 0.679 and less than 1.177

Q: Let X be the number of minutes that it takes a random selected student to solve a mathematical…

A: We want to find mean and standard deviations

Q: (b) Find the probability that a student participates in less than three actjvities. The probability…

A:

Q: In a particular area 40% of men and 15% of women are overweight and there are four men and three…

A:

Q: A company that advertises on the radio in a certain area receives on average 11 calls everytime it…

A: Formula : poisson distribution is given by

Q: Alfie travels to work by car each morning. The probability that he is late to work on any given day…

A: Solution: Let X be the number of number of days Alfie is late and n be the sample number of days.…

Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

A: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

Q: uppose a jar contains 15 red marbles and 15 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles=15Number of blue marbles=15Total number of marbles=30

Q: You roll a 4-sided die 10 times What is the probability you roll a 1 exactly 5 times? What is the…

A: In question, Given a 4 sided rolled 10 times then we'll find the probability that, (1). Getting 1…

Q: You are playing a game of ring toss. There are 60 bottles set up in 6 rows of 10. You have 3 rings…

A: Let the random variable X denote the number of rings you get around the neck of the bottles. You…

Q: A virologist vaccinates a few mice one at a time with a virus until he finds 3 that have contracted…

A: Negative Binomial Distribution: If we have a sequence of trials each having two outcomes, say…

Q: a man has n keys that one will open the door. if he randomly tries the keys, discarding those that…

A: Solution:

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error…

A:

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: Suppose in 3 consecutive days an instant winner lottery tickets is purchased and the probability of…

A:

Q: Packets at a certain node on the internet arrive with a rate of 100 packets per minute.Find the…

A: The arrival rate is 100 packets per minute that means 10010=10 packet per 6 seconds. The probability…

Q: A bag of apples has 8 red apples and 6 yellow apples. Janice will randomly select 1 apple from the…

A: Desired probability = desired outcome/total number of outcomes

Q: Out of a student group of 85 people, 39 people play basketball, 42 people play football and 25…

A: Introduction: Define the following events: B: Plays basketball; F: Plays football; T: Plays tennis;…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: In a class of 15 students there are 5 boys and 10 girls If a committee of 6 students is selected at…

A: 5 - boys 10 - girls ____________ 15 - students in class select committee of 6 students. p( 3 boys…

Q: Suppose that the probability that Bob eats an apple at lunch is 8%.  Also, suppose that the…

A: Given Information: Probability that Bob eats an apple at lunch is 8% i.e., PApple=0.08 Probability…

Q: Suppose a batsman can hit the ball 50% of the time. Assume that the batsman has seen 6 balls and hit…

A:

Q: The probability that the life of a bulb is 100 days is 0.05. Find the probability that one of 6…

A:

Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

Q: Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: For the multinomial distribution, we have more than 2 outcome which are mutually exclusive and…

Q: There are 10 lightbulbs and 2 of them are defective. You test the lightbulbs one by one until you…

A:

Q: A tennis match of best of 5 sets is played by two players and B. The probability that first set is…

A:

Q: Ali went to play a lucky game . If 135 tickets of this lucky game were sold and the probability of…

A: Given, n(s) = 135 P(A) = 1/9 n(A) = ?

Q: he probability of a person dying quickly given that he or she ate flesh from a Mad Cow is 85%…

A: P(Dying | Mad Cow) = 0.85 P(Mad cow)=0.12

Q: Alex decides to go to a casino and play his 3 favorite slot machines. He knows from experience that…

A: Given Alex decides to go to a casino and play his 3 favorite slot machines.   Also given probability…