The probability that Ben gains admission into the university is 1/3 and that of Ama is 2/5. Find the probability that: (a) both gain admission, (b) one gains admission, (c) none gain admission, (d) at least one gains admission.

Q: . What is the probability that Y<1.5 given X=0?

A:

Q: Assume that 8 women and 6 men work in a department at a large company, a committee of 4 people from…

A:

Q: L As only 3 students came to attend the class today, find the probability for exactly 4 students to…

A:

Q: Suppose a coffee shop sells one cup of coffee 5 minutes. What is the probability that the coffee…

A: It is given that, A coffee shop sells once coffee in 5 minutes. Now, The number of Coffee sells in…

Q: The probability that a bomber hits its target on any particular run is .80. If three bombers are…

A:

Q: The mayor of a town estimates that 65% of the residents in the town favor a raise of taxes to…

A: Given information: p=The probability of residents in the town favor a raise =65%=0.65 400 people…

Q: An engine encounters a standard environment with a probability of 0.95, and a severe environment…

A: Let M be the event representing an engine encounters a standard environment. Let N be the event…

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: The game is at Deuce. Now, the probability of scoring a point = θ.

Q: operator meets his production quota, what is the probability that he (or she) attended the program?…

A: here define events operator meet the production quota = M training attended by operator = T here…

Q: The probability that someone will pick up the habit of smoking is 0.2. The probability that someone…

A: Given,P(he/she has smoked)=0.2P(some0ne smoke and develops lung cancer)=0.07

Q: A barber shop on a peak hour has an average of 8 customers on a regular day. Suppose that the shop…

A: barber shop on a peak hour has an average of 8 customers on a regular day. And suppose that the…

Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

A:

Q: Find the probability that none of the dice will show a 1. (Enter your probability as a fraction.)

A: The number of dice rolled are 3.

Q: In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the…

A: Let A denote the event residents live in houses Let B denote the event that residents live in…

Q: A small town has one fire engine and one ambulance available for emergencies. The probability that…

A: Given: Event A= Fire engine is available Event B=Ambulance available  Both A and B are independent.…

Q: probability that exactly two dog bite victims will arrive?

A: Here use poission distribution for  because rate of victims per days bite by dog is constant for…

Q: A restaurant owner speculates from his past experience that 20% of the cust reservations. The…

A: Consider a random variable X which represents the number of customers who cancel their reservation.…

Q: The probability an employee fails to come to work is 0.017. A large engineering firm employs 650…

A:

Q: Find the probability that Joe is early tomorrow. Given that Joe was early, what is the conditional…

A: Define some events A: it will rain B: it will not rain E: Joe is early to work.

Q: being Wrong is 0.22. And the probability of husband being Wrong provided that wife is Wrong is 0.17.…

A:

Q: In a school, 70% of males play soccer, and 12% of females play soccer. The school consists of 55%…

A: Conditional probability:  Let A and B be two events related to a random experiment. Then the…

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: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (d) On at least one day: P(At least 1 day)= 1- P(None of days) --(1) So 1st we need to find P(None…

Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A: Given that,60% of the community favored building a health center in their neighborhood.Probability,…

Q: The owner of a car wash shop noticed that on normal days there are 4 cars that enter the shop at one…

A:

Q: Because not airline passengers show up for their reserved seat, an airline sells 125 tickets for a…

A:

Q: The probability that Sam parks in a no-parking zone and gets a parking ticket is 6%, and the…

A: The probability is used to calculate the probability of an event occur. Let A be the event, the…

Q: Find the indicated probability. In general, after a group makes a reservation at a restaurant, they…

A: This is a binomial distribution problem as it has two possibilities (show up/do not show up). The…

Q: A pharmacist receives a shipment of 18 bottles of a drug and has 3 of the bottles tested. If 5 of…

A: 20) A pharmacist receives of shipment of 18 bottles of a drug and 3 of the bottles are tested. If 5…

Q: In tennis scoring, a ‘game’ is won by the first player to win 4 points. Suppose player A has…

A: The given score is 4-1. This means the total number of matches played= 4+1=5 Player A won 4 times.…

Q: The manager at the local auto shop has found that the probability that a car brought into the shop…

A: The probability that a car brought into the shop requires an oil change is 0.63. The probability…

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: Given that, local grocery store experiences power outage on any workday is 0.125. i.e Probability…

Q: What is the probability that the principal is present and makes a purchase when the sales agent…

A: The probability that a school principal is present when a sales agent calls is0.8.

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: The probability that a person owns a microwave oven is 0.55, that a person owns a compact disk…

A: Given that  P(A)=0.55 , P(B)=0.45 , P(A n B)=0.11 A=own microwave,  B=CD player  A n B=both a…

Q: The manager at the local auto shop has found that the probability that a car brought into the shop…

A: Consider that A and B are defined as an oil and break repair charges, respectively.Thus,The provided…

Q: Two fair dice are thrown once. Find the probability that the sum is 5, given that one of the dice…

A: Two fair dice are thrown then find probability that sum of two dice is 5 given that one of the dice…

Q: In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3…

A: In a game of monopoly, player is sent to jail if he or she rolls doubles with a pair of dice 3 times…

Q: What is the probability that X equal 2?

A: The probability of rolling a four = 1/6 = p  n = 8

Q: The probability that it rains in London on a random day in fall is 0.3. A student walks to campus…

A: Given Data: The probability of rain on a random day is: P(r)=0.3 The probability of the student…

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (c) On none of the days: P(None of days)= (1-0.125)5 P(None of days)=(0.875)5 P(None of days)=…

Q: In a large population, 60% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability that the people have been vaccinated (p) = 60% = 0.60. Number of people (n) = 5. Let…

Q: A recent survey by the American Cancer Society shows that the probability that someonelis a smoker…

A: 0.29 is the probability that someone is smoker. The probability that someone have lung cancer and…

Q: It is known from past experience that the probability that a person has a cancer is 0.02 and the…

A: (a) Obtain the probability that the person has both elements.   The probability that the person has…

Q: If The probability of rain falling on any day in November is 20% find the probability of: A: There…

A:

Q: The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on…

A: Independent Events:Two events are said to be independent if occurrence of one event does not affect…

Q: The probability that a patient correctly diagnosed by a doctor with a rare stomach disease is 0.4.…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: In a video game, a specific attack succeeds at a rate of 20% and every try is independent. Determine…

A:

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

Q: What is the probability that Z is less than 1.53​?

A: