Probability and Statistics 1. Describe the properties of the sum and the product of two dependent and independent random events. Solve the following problem on the classical definition of the probability. The group of students consists of 8 girls and 7 boys. For certification three of them are randomly selected. What is the probability that there will be exactly one boy among them? 2. What is the Bayes' formula? Formulate the theorem and name all of its terms. Solve the following problem. The student goes to the university on the first passing mode of transport. A bus approaches with a probability of 0.2, a fixed-route taxi with a probability of 0.5, for detecting a trolleybus and a tram, these probabilities are 0.15. The probability of getting stuck in a traffic jam for them is 0.4, 0.3, 0.4, 0.1, respectively. Find with the probability that the student will get stuck in a traffic jam. 3. Write the Bernoulli's formula. Explain it. Solve the following problem. Let a symmetrical coin be tossed 5 times. What is the probability that there are more heads than tails?

Q: Please help me solve part C.  I keep getting 2/3, but it says I'm incorrect.

A: The possible outcomes of drawing two slips without replacement from the numbers 1 to 4 are:(1, 2),…

Q: O 1 O 6 47 17 24 23) Use the situation below to answer the question that follows. A teacher has…

A: Solved below.

Q: A pair of balanced dice is rolled once and the numbers on the top of the dice are observed. a.…

A: Given: A pair of balanced dice is rolled and the numbers on the dice are noted.

Q: A small town has two fire engines available for emergencies and are operating independently. The…

A: From the provided information, Probability that a specific engine is available when needed is 0.96…

Q: Michael plays a free throw game. The probability that he scores is 0.6. Michael takes 5 attempts.…

A: Given,n=5p=0.6A random variable X~Binomial(n=5 , p=0.6)P(X=x)=5x 0.651-0.65-x  ;  x=0,1,2....5

Q: 28 percent of American males smoke cigarettes, percent smoke cigars, and 5 percent smoke both cigars…

A: Cigarette = A, Cigar = BP(A) = 28% = 0.28P(B) = 7% = 0.07P(A and B) = 5% = 0.05

Q: Which of the following statements cannot be accurate after one spin?  a The probability of winning…

A: It is given that the spinner with five different colours.

Q: Lucas plays basketball. He makes free throw shots 68% of the time. Lucas must now attempt two free…

A: The probability that Lucas makes free throw shot is 0.68. Since, the two free throws are independent…

Q: Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with…

A: Given,Event A occurs with probability 0.2. That is, P(A) = 0.2 Event B occurs with probability 0.3.…

Q: 1. The probability that Thomas passes mathematics is 0.45; biology 0.6 and both 0.15. Determine the…

A:

Q: There are two bags containing several colored balls. The bag B1 contains 13 red balls, 18 blue…

A:

Q: Since there are 36 total outcomes, and 2 of these outcomes are favorable to a sum of 3, we get the…

A: ###1- We know,  the formula for the probability of an event with equally likely outcomes is…

Q: A recent poll found that 68% of Americans worry about cancer. Show your work using the appropriate…

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

Q: According to the classical definition of probability A All the outcomes are equally likely.

A: The classical probability method is known as the method that is used to measure the likelihood of an…

Q: 6. Purchased gum Kept the money Students give 4 quarters Students given a Sbill 29 13 11 38 a. Find…

A: Summarized form of the given information has been presented in the following table:   Purchased…

Q: An urn contains 45 red balls, 40 green balls, 15 blue balls, and 20 yellow balls. If Farzad randomly…

A: ## Number of red balls is 45## Number of the green balls is 40## Number of the blue ball is 15##…