A maintenance man has 12 keys on his key ring. If he tries the keys at...
A maintenance man has 12 keys on his key ring. If he tries the keys at random on a
storage room door, discarding those that do not work, what is the probability that he
will get the door open on his 4th try?
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A maintenance man has 12 keys on his key ring. If he tries the
keys at...
3. A woman has n keys, of which one will open her door. (a) If she...
3. A woman has n keys, of which one will open her door. (a) If she tries the keys at random, discarding those that do not work,what is the probability that she will open the door on her kth try? (b) What if she does not discard previously tried keys?
3. (12pts) The mathematics main office has backup keys to the offices in Kiely Hall. One...
3. (12pts) The mathematics main office has backup keys to the offices in Kiely Hall. One day Dr. Unlucky locked himself out of his office. So he borrowed the keys from the main office. Unfortunately, these keys have no room number on them and thus he has to try one by one. Suppose there are n keys and only one key will open Dr. Unlucky's office. (a) (6pts) If he tries the keys at random and discards those that do...
Kate has n keys, only one of which will open the cookie jar. (a) If she...
Kate has n keys, only one of which will open the cookie jar. (a) If she tries the keys at random, discarding those that do not work, what is the (b) Later in the day, her brother Kurtis wants to get a cookie, but he does not probability that she will open the jar on her kth try? discard keys that he has previously tried. What is the probability that he will open the jar on his kth try? (c)...
Kate has n keys, only one of which will open the cookie jar. (a) If she...
Kate has n keys, only one of which will open the cookie jar. (a) If she tries the keys at random, discarding those that do not work, what is the probability that she will open the jar on her kth try? (b) Later in the day, her brother Kurtis wants to get a cookie, but he does not discard keys that he has previously tried. What is the probability that he will open the jar on his kth try? (c)...
49. A real estate man has eight master keys to open several new homes. Only key...
49. A real estate man has eight master keys to open several new homes. Only key will open any given houșe. If 40% of these homes are the probability that the real estate man can get into a specific home if he selects three master keys at random before leaving the office? one master usually left unlocked, what is
I. At a certain school, 60% of the students wear neither a ring nor a necklace,...
I. At a certain school, 60% of the students wear neither a ring nor a necklace, 20% wear a ring, 30% wear a necklace. Compute the probability that a randomly selected student wears (a) a ring or a necklace; (b) a ring and a necklace 2. A school offers three language classes: Spanish (S), French (F), and German (G). There are 100 students total, of which 28 take S. 26 take F, 16 take G, 12 take both S and...
Problem 9.1 A gatekeeper stands in front of a locked door. He has a keychain with...
Problem 9.1 A gatekeeper stands in front of a locked door. He has a keychain with 12 keys and a single one of them unlocks the door in front of him. (a) First assume that he tries the keys one after the other. Let X be the random variable that describes the number of unsuccessful attempts at unlocking the door in this case. (i) Let X(12) denote all the possible values that X can take. Determine X(22). (ii) What is...
2. David is on a business trip. He drives his car and when he checks into...
2. David is on a business trip. He drives his car and when he checks into the hotel he gives his car keys to the parking lot attendant. The hotel has a guarded underground parking lot. When he gives the attendant his car keys he does not tell him that in the trunk of the car is his mother's $ 25,000 diamond ring in a box. The next day when he requests that his car be brought up so he...
Sam buys a hollow, plastic rock where he plans to hide his spare key. He puts...
Sam buys a hollow, plastic rock where he plans to hide his spare key. He puts it near several other rocks by the door and calls to his two children, a 3-year-old and a 6 ½-year-old. He said he was gardening and found something under the rock and asks them to guess. One says a worm and the other says some ants. Then, he lifts it up and shows them that it's hollow and actually contained the house key. Then...
A 50 year old man notifies his physician that he has passed approximately 12” of a...
A 50 year old man notifies his physician that he has passed approximately 12” of a tapeworm with a bowel movement. He has not had any abdominal complaints up to this event. The physician tells him that he probably has a Taenia species tapeworm – either the pork or the beef tapeworm. The patient explains to the physician that on religious grounds he is extremely careful to avoid eating any pork or pork products. The physician tells the man to...
3. A woman has n keys, of which one will open her door. (a) If she tries the keys at random, discarding those that do not work,what is the probability that she will open the door on her kth try? (b) What if she does not discard previously tried keys?
3. (12pts) The mathematics main office has backup keys to the offices in Kiely Hall. One day Dr. Unlucky locked himself out of his office. So he borrowed the keys from the main office. Unfortunately, these keys have no room number on them and thus he has to try one by one. Suppose there are n keys and only one key will open Dr. Unlucky's office. (a) (6pts) If he tries the keys at random and discards those that do...
Kate has n keys, only one of which will open the cookie jar. (a) If she tries the keys at random, discarding those that do not work, what is the (b) Later in the day, her brother Kurtis wants to get a cookie, but he does not probability that she will open the jar on her kth try? discard keys that he has previously tried. What is the probability that he will open the jar on his kth try? (c)...
Kate has n keys, only one of which will open the cookie jar. (a) If she tries the keys at random, discarding those that do not work, what is the probability that she will open the jar on her kth try? (b) Later in the day, her brother Kurtis wants to get a cookie, but he does not discard keys that he has previously tried. What is the probability that he will open the jar on his kth try? (c)...
49. A real estate man has eight master keys to open several new homes. Only key will open any given houșe. If 40% of these homes are the probability that the real estate man can get into a specific home if he selects three master keys at random before leaving the office? one master usually left unlocked, what is
I. At a certain school, 60% of the students wear neither a ring nor a necklace, 20% wear a ring, 30% wear a necklace. Compute the probability that a randomly selected student wears (a) a ring or a necklace; (b) a ring and a necklace 2. A school offers three language classes: Spanish (S), French (F), and German (G). There are 100 students total, of which 28 take S. 26 take F, 16 take G, 12 take both S and...
Problem 9.1 A gatekeeper stands in front of a locked door. He has a keychain with 12 keys and a single one of them unlocks the door in front of him. (a) First assume that he tries the keys one after the other. Let X be the random variable that describes the number of unsuccessful attempts at unlocking the door in this case. (i) Let X(12) denote all the possible values that X can take. Determine X(22). (ii) What is...
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