You are expecting two sets of exams- “easy” and “hard”. The probability of getting a hard exam is 0.80. The probability that the first question on the exam will be difficult is 0.90 if the set is “hard” and is 0.15 if the set is “easy. a) What is the probability that the first question on your exam is marked as difficult. b) What is the probability that your exam is hard given that the first question on the exam is marked as difficult?

Q: What is the probability that the number on the first die is smaller than the number on the second…

A: The sample space of two dice are thrown is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2)…

Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: What is the Probability a couple has two children at least one of them is a boy. Assume that the…

A: Given that, The boys and girls are equally likely. P(boy) = 0.5 P(girl) = 0.5

Q: The probability that a US industry is located in Shanghai, China is 0.65, the probability that it is…

A: We have given that  P( Shanghai china) = P( A) = 0.65 P( Beijing china) = P( B ) = 0.32 P( Shanghai…

Q: If the probability That a randomly selected murder resulted from a rifle or shotgun is 0.061 then if…

A: From the provided information,The probability that a randomly selected murder resulted from a rifle…

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

A:

Q: Two dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 8?…

A: Given information  Two dice is rolled  Total outcome = 6 x 6 = 36 S={ (1,1) (1,2) (1,3) (1,4) (1,5)…

Q: What is the probability of obtaining blue followed by green or purple?

A: Given ,First spinner is having three different colours pink, blue, brown.Second spinner is having…

Q: series of cards is drawn from a deck (without replacement).  What is the chance that you get 2 cards…

A: Probability of drawing cards of spades and Hearts

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

A:

Q: A group of 4 men enter a restaurant and check their hats. The hat-checker is absent-minded, and upon…

A:

Q: Joseph is applying for admission to a university he must complete a written application and then…

A: Given that: Probability of been approved on a written application is p(A) =0.55 The probability of…

Q: Suppose that two fair dice are rolled. find the probability that the number on the first dice is a 4…

A:

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: What is the probability that both numbers are odd if their sum is 7 ? What is the probability that…

A: Here sum=7 Sample space={(1+6),(6+1),(2+5),(5+2),(3+4),(4+3)} total 6 possibilities

Q: what is the probability of getting 0 defective calculators

A: Number of defective calculators = 13Number of non defective calculators = 39Total number of…

Q: If the probability of being left handed is 0.23 and the probability of being right handed is 0.77…

A: Let X be the number left handed let p be the probability of being left handed  q be the probability…

Q: The probability that a given person at the band shell buys their album is 20% the probability that…

A: Given that - The probability that a given person at the band shell buys their album is 20% the…

Q: the probability an airplane arrives on time 80% of the time.Out of ten flights, what is the…

A: Given that  Probability an airplane arrives on time is 80%   P =0.80 (1-P) = 1-0.80 = 0.20 Sample…

Q: If an unprepared student guess for 10 true-false questions, what is the probability they will get…

A:

Q: A student is taking a true/false exam with 18 questions. If he guesses on each question, what is the…

A: Given Information 18 true/false question Probability of correct answering p = 0.5 N = 18 Let X be…

Q: Forty-five percent of consumers say it is important that the clothing they buy is made without child…

A: To find the probability that exactly three out of 18 consumers say it is important that the clothing…

Q: Suppose you have an .95 probability of making a single free throw and to make the basket ball team…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: the card will be a diamond or a seven

A: Probability : In Statistics probability indicates the chances of an event to be occurred. The range…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.