American League with a .364 batting average. To keep it simple, assume this means that every time he is up to bat, he has a probability of .364 of getting a hit and that each at bat is independent. Assuming this probability will be constant throughout spring training, what is the probability that he will get his 5th hit on his 12th at bat of the season?

Q: Suppose that the probability that Bob will go downtown is  14%.  Now, also suppose that if Bob goes…

A:

Q: Jeremy sells a magazine which is produced in order to raise money for homeless people. The…

A: Given:n = number of trials =20 (since Jeremy approaches 20 people)p = probability of success on each…

Q: The probability that a student pilot passes the written test for a private pilot license is 0.7.…

A: Given data : The probability that a student pilot passes the written test for a private pilot…

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: A survey finds customers are charged incorrectly for 1 out of every 10 items. Suppose a customer…

A: Binomial distribution is given by

Q: What is the probability that the team will run the​ ball, given that it is 2nd down and they have 6…

A: Here the given table is:-Down and distance RunpassTotal1st down and 10 or more yards to go56811372nd…

Q: Barbie has applied to both Harvard and Yale. The probability that Harvard will admit her is 0.65,…

A: We denote Yale by Y, Harvard by H, and thus their corresponding probabilities by P(Y) and P(H),…

Q: 84% of all the field goals he kicks during in-season games. Assume each kick is independent of the…

A: Let X be the random variable from binomial with probability (p) = 84% = 0.84 and sample size (n) =…

Q: You purchase a workers' compensation insurance policy to protect against accidents at your…

A: The provided information is as follows:If having a serious accident then the insurance company pay…

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: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: Sam is an archer and hits targets with 70% accuracy. If shots are independent of each other, what is…

A: Given Sam is an archer and hits targets with 70% accuracy and shots are independent of each other.…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.972, what is…

A: It is given that the probability that a vaccine will protect a person from getting the flu is 0.972.

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: The probability of a resident of a certain city being the victim of a serious crime at some point in…

A: It is an important part of statistics. It is widely used.

Q: Harry is a soccer player who practices penalty kickc many times each day. Each time Harry takes a…

A: p(goal)=p=0.7q=1-p=0.3n=20x=no. of goalsp(X=x)=nCxpxqn-x      binomial

Q: Arthur is an oncologist with 11 patients in their care. The probability that a patient will survive…

A:

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.932, what is…

A:

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 vaccine can cause two possible side effects: fatigue and insomnia. 32% of the people who received…

A:

Q: cording to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A: GIVEN DATA event A  : river 24 years old or lessevent F : driver in a fatal accident is femaleP(F) =…

Q: robability of a mild accident is 0.014. et X be the insurance company's net gain or loss on the…

A: For a serious accident, the policy will pay $279,000.For mild accident, the policy will pay…

Q: Seventeen percent of married couples say they are planning a trip to Europe. You randomly select 15…

A: Suppose a random variable x, defines the number of married couples, who are planning a trip to…

Q: A baseball player has a batting average of 0.3. What is the probability that he has exactly 3 hits…

A: Given,n=7p=0.3Let X=no.of hits in his next 7 at-batsX~Binomial(n=7 , p=0.3)P(X=x)=7x 0.3x 1-0.37-x…

Q: Find the probability of the indicated event if P(E) = 0.20 and P(F) = 0.45. Find P(E or F) if P(E…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.