For a given exam, there is 40% of the students passed math test, and 30% passed biology test, and 20% passed both math and biology tests. What is the probability that a randomly selected student failed biology given that he passed math? (Use Venn diagram)

Q: Two Dice were tossed. What is the probability that the total of two dice will be greater than 9,…

A: Let A = first die is 5 Let B = total of two dice is greater than 9 P(A)= 1/6​   Possible outcomes…

Q: What is the probability that out of three people selected randomly, at least two will have the same…

A: P( at least two will have same birth month) ≈1-exp(-32/12)

Q: BABILITY AND STATISTICS The blood groups of 200 people is distributed as follows: 50 have type A…

A: Required: PROBABILITY AND STATISTICS The blood groups of 200 people is distributed as follows: 50…

Q: If we roll two 20-sided dice (each with values 1-20), what is the probability that the first rolled…

A: Given: If we roll two 20-sided dice (each with values 1-20), what is the probability that the…

Q: A group of 15 students made up of 9 females and 6 males form a committee of 5 What is the…

A: Given data, A group of 15 students made up of 9 females and 6 males We have to form a committee of 5…

Q: A student goes to the school canteen. The probability that they get fish is 0.2, get chips is 0.5,…

A: Given  probability that the student gets fish P(A) =0.2 probability that the student gets chips P(B)…

Q: Suppose that two chess players had played numerous games and it was determined that the probability…

A: P(A) =0.40 and P(B) = 0.35 P(AB) = 0.25 (i.e. a draw) OUt of 12 games A win 7 games, B 2 games and 3…

Q: If an individual has High Blood Pressure, has a Healthy Diet and Exercises regularly, what is the…

A: High Blood Pressure : 0.85 Healthy Diet : 0.25 Exercise Regularly : 0.7

Q: If we roll 2 dice, what is the probability that their sum is at least 9, if we know the first die…

A: Given: If we roll 2 dice, what is the probability that their sum is at least 9, if we know the first…

Q: The national average SAT Score (for Verbal and Math) is 1028. Suppose that nothing is known about…

A: The national average SAT score (for verbal and math) is 1028 .suppose that nothing is known about…

Q: b) Given the following statistics, what is the probability that a woman has cancer if she has a…

A: Given          The probability that a woman has cancer if she has a positive mammogram result is…

Q: The probability that a certain baseball team will win its division is 2/11. What are the odds on its…

A: step one: Here we can see,  The probability of losing the division = 1- the probability of winning…

Q: A and B stand in a line at random with 10 other people. What is the probability that there are…

A: We are going to find out the probability for a situation where there are 10 people and we have to…

Q: Three coins are tossed at the same time, each equally likely to come up heads or tails.   What is…

A: We are given a probability question in which 3 coins are tossed and we have to find out the…

Q: Question 19 If R is a random variable on a sample space S and expected value E(R) = p, then the…

A: The variance of a random variable x , with mean Ex=μ , is defined as V(x)=E[(x-μ)2]

Q: Two Dice were tossed. What is the probability that the total of two dice will be greater than 9,…

A:

Q: 9500 students are enrolled in a community college. Of 9500, 3350 have a Visa, 2200 have a…

A: Total number of student enrolled in Community College n(T): 9500Number of Student who have Visa Card…

Q: What is the probability of getting at least 5 heads in 6 tosses of a fair coin?

A:

Q: Q3/ Consider a bridge that is supported by three cables. The failure of interest is the failure of…

A: Solution ::  Q.3.)   Let's see first what is permutations and combinations called ? Answer ::…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Answer : Concepts and reason: The concepts of combination and probability are used here,…

Q: In the hiring problem, what is the probability that the n’th best candidate will be hired after…

A: Since every person who gives the interview can potentially be hired, hence the sample space for this…

Q: Q4/ In an experiment to study the relationship of hypertension and smoking habits, the following…

A: Solution:

Q: The number of cell phone minutes used by high school seniors follows a normal distribution with a…

A: Normal description with a mean of 500 and standard deviation of 50.  Now, we can draw a bell curve…

Q: Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find…

A: REg we have  got to seek out the regression model for the prediction of the variable quantity or…

Q: Q5/ An urn contains 10 white, 5 yellow, and 10 black marbles. A marble is chosen at random from the…

A: Solution :

Q: High temperatures in Antalya for the month of July follow a uniform distribution over the interval…

A: Given: High temperatures in Antalya for the month of July follow a uniform distribution over the…

Q: The following data shows the results for 20 students in one of the post graduate unit. 42 66 67 71…

A: Actually, the answer has given below:

Q: s a steel bolts manufacturing company. Their current steel bolts have a mean diameter  of 135…

A: Given that: X is normally Distributed withmean µ = 135.0and standard deviation σ = 5.0By using a…

Q: The random variable X and Y are independent. The random variable X has the probability distribution…

A: Task :- Fine the joint distribution table for given random variables X and Y.

Q: Compute probability of at least two people have the same birthday in a group of r people.

A: As per our company guideline, I am answering only 1st question. Please repost other questions. Let…

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

A: The probability that a student pilot passes the written test for a private pilot’s license is 0.7.

Q: A confusion matrix based on one particular cut-off probability can determine the entire ROC curve.…

A: Given that a confusion matrix based on one particular cut-off probability can determine the entire…

Q: Q6/ The number of failures for a cryogenics machine from contamination in biological samples is a…

A:

Q: Given 10 cards. On each card, one of the numbers from 0 to 9 are printed. Each number is only used…

A: Here total number of cards = 10 with each card containing only one number once.

Q: In farming, given data on crop yields over the last50 years, learn to predict next year's crop…

A: Answer : regression is the correct answer.

Q: In farming, given data on crop yields over the last50 years, learn to predict next year's crop…

A: First let us know where classification and regression is applied, then based on that we will draw a…

Q: In a joint probability distribution table for 4 variables (A, B, C, D), how many entries will there…

A: Given:

Q: Consider a population consişting of the measurements 0, 5 and 15. Assume the population is…

A: Solution:

Q: How can you apply Probability & Statistics in your day to day basis? Give 5 examples.

A: Answer of the given question There are various uses of probability in daily life, all things…

Q: If A and B are two events and P(A) = 0.60, P(B) = 0.30 and P(A U B) = 0.80, find: a) P(A n B) b)…

A: A) P(A∩B) = P(A) × P(B) P(A∩B)=0.60 x 0.30 P(A∩B)=0.18 B)   C) P(A'∩B)=P(A')XP(B)…

Q: Three brands of tea are rated for taste on a scale of 1 to 10. Six persons rate each brand so that…

A: Correct Option is :- Kruskal Wallis  Explanation:- In this test  we will find the average of the…

Q: Question 4 A university received 1000 applications for the undergraduate program every semester. Of…

A:

Q: Question 1: Let X be a random variable with CDF 1 x > 1 Fx (x) = %3D 0 <x <1 2 2 x <0 a. What kind…

A: Here, CDF is given.

Q: Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their…

A: If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as  first…

Q: The variance of e i is the same for every observation.   A. Heteroscedasticity   B. Bias   C.…

A: The question wants to know the term in which the variance of which is error is the same for every…

Q: Bayes’ Rule John is holding an outdoor party on Saturday. In recent years, on average it has…

A: Let's understand step by step :   Given : 1. On an average , rain in a year = 36.5 days 2. If it…

Q: What is the final equation for Simple Linear regression if we have P as an independent variable, Q…

A: Answer to the above question is in step2 for simple linear regression.

Q: Let X be a random variable with a uniform distribution over the interval [-4 , 4]. Determine the…

A: To Do: To find the variance of x.

Q: least-squares linear regression method and to calculate the R2 value. Your inputs should be arrays…

A: Least Square Regression y=a+bxa-&gt;y--interceptb-&gt;slope n=6…

Q: Polynomial regression is used tổ model! A Linear model (B Non-linear model Both Neither

A: answer is  B Non- Linear model    Polynomial regression is used to model Non-linear model